## Torres, Pedro José

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 Author ID: torres.pedro-jose Published as: Torres, Pedro J.; Torres, P. J.; Torres, Pedro José; Torres, Pedro more...less External Links: MGP
 Documents Indexed: 135 Publications since 1996, including 1 Book Co-Authors: 80 Co-Authors with 108 Joint Publications 2,081 Co-Co-Authors
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### Co-Authors

 24 single-authored 9 Romero, Alfonso 8 de la Fuente, Daniel 8 Hakl, Robert 7 Bereanu, Cristian 6 Chu, Jifeng 6 Liu, Qihuai 5 Güngör, Faruk 5 Nuñez, Daniel E. 5 Pérez-García, Víctor Manuel 5 Qian, Dingbian 4 Belmonte-Beitia, Juan 4 Zamora, Manuel 4 Zhang, Meirong 3 Campos, Juan 3 Gutierrez, Alexander J. 3 Peral Alonso, Ireneo 3 Romero-Vallés, M. J. 3 Ruiz-Herrera, Alfonso 2 Alkoumi, Naeem 2 Almira, Jose María 2 Arcoya, David 2 Cid, José Ángel 2 Dai, Guowei 2 Fonda, Alessandro 2 Franco Leis, Daniel 2 Jebelean, Petru 2 Konotop, Vladimir V. 2 Lei, Jinzhi 2 Mañosas, Francesc 2 Margheri, Alessandro 2 Martinez-Amores, Pedro 2 Montesinos, Gaspar D. 2 Rojas, David 2 Veerman, J. J. P. 2 Wang, Feng 1 Adrian, F. 1 Baltaeva, Umida Ismailovna 1 Bonheure, Denis 1 Boscaggin, Alberto 1 Bravo, José Luis 1 Cairns, Paul 1 Cariñena, José F. 1 Carretero-González, Ricardo 1 Cheng, Zhibo 1 Colton, Simon 1 Daescu, Dacian N. 1 Del Toro, Naira 1 Esposito, Larry W. 1 Fan, Ning 1 Frantzeskakis, Dimitri J. 1 Garzón, Manuel 1 Gazzola, Filippo 1 Habets, Patrick 1 Hernández-Figueroa, H. E. 1 Katatbeh, Qutaibeh Deeb 1 Kevrekidis, Panayotis G. 1 Liang, Zaitao 1 Liu, Chunlian 1 Liu, Wenye 1 Liz, Eduardo 1 Lomtatidze, Alexander 1 López-Barbero, A. P. 1 Madhusudhanan, Prasanna 1 Mawhin, Jean L. 1 Middelkamp, S. 1 Ortega, Rafael 1 Ortega, Víctor 1 Pérez-González, Set 1 Rebelo, Carlota 1 Ren, Jingli 1 Rivera, Andrés M. 1 Schmelcher, Peter 1 Sorge, Volker 1 Toader, Rodica 1 Tojo, Fernando 1 Torregrosa, Joan 1 Ureña, Antonio J. 1 Vekslerchik, Vadym Yevgenovych 1 Wang, Chao 1 Wang, Peiyu 1 Xing, Mingyan 1 Zanolin, Fabio 1 Zhou, Zhe
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### Serials

 10 Journal of Mathematical Analysis and Applications 9 Journal of Differential Equations 7 Discrete and Continuous Dynamical Systems 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Proceedings of the American Mathematical Society 5 Physica D 5 Advanced Nonlinear Studies 4 Mathematical Methods in the Applied Sciences 4 Discrete and Continuous Dynamical Systems. Series B 3 Classical and Quantum Gravity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Bulletin of the London Mathematical Society 3 Nonlinear Analysis. Real World Applications 3 SIAM Journal on Applied Dynamical Systems 2 Nonlinearity 2 Physics Letters. A 2 Czechoslovak Mathematical Journal 2 Journal of Functional Analysis 2 Applied Mathematics Letters 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Communications in Contemporary Mathematics 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Journal of Physics A: Mathematical and Theoretical 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 IMA Journal of Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 The Australian Mathematical Society Gazette 1 Mathematische Nachrichten 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Results in Mathematics 1 European Journal of Applied Mathematics 1 Differential and Integral Equations 1 Mathematica Bohemica 1 Annals of Physics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Advances in Engineering Software 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 The ANZIAM Journal 1 Journal of Nonlinear Mathematical Physics 1 Communications on Pure and Applied Analysis 1 Mediterranean Journal of Mathematics 1 Nonlinear Oscillations 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal of Qualitative Theory of Differential Equations and Applications 1 Differential Equations and Applications 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Theoretical Biology 1 Journal of Applied Analysis and Computation 1 Nonlinear Analysis. Theory, Methods & Applications 1 Atlantis Briefs in Differential Equations
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### Fields

 88 Ordinary differential equations (34-XX) 30 Partial differential equations (35-XX) 17 Dynamical systems and ergodic theory (37-XX) 17 Operator theory (47-XX) 13 Mechanics of particles and systems (70-XX) 11 Differential geometry (53-XX) 8 Relativity and gravitational theory (83-XX) 7 Optics, electromagnetic theory (78-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Quantum theory (81-XX) 6 Biology and other natural sciences (92-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

116 Publications have been cited 1,678 times in 800 Documents Cited by Year
Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem. Zbl 1032.34040
Torres, Pedro J.
2003
Periodic solutions of second order non-autonomous singular dynamical systems. Zbl 1127.34023
Chu, Jifeng; Torres, Pedro J.; Zhang, Meirong
2007
Weak singularities may help periodic solutions to exist. Zbl 1116.34036
Torres, Pedro J.
2007
Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space. Zbl 1336.35174
Bereanu, Cristian; Jebelean, Petru; Torres, Pedro J.
2013
On periodic solutions of second-order differential equations with attractive-repulsive singularities. Zbl 1187.34049
Hakl, Robert; Torres, Pedro J.
2010
Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space. Zbl 1285.35051
Bereanu, Cristian; Jebelean, Petru; Torres, Pedro J.
2013
Mathematical models with singularities. A zoo of singular creatures. Zbl 1305.00097
Torres, Pedro J.
2015
Periodic solutions of singular second order differential equations: upper and lower functions. Zbl 1232.34068
Hakl, Robert; Torres, Pedro J.; Zamora, Manuel
2011
Applications of Schauder’s fixed point theorem to singular differential equations. Zbl 1128.34027
Chu, Jifeng; Torres, Pedro J.
2007
A monotone iterative scheme for a nonlinear second order equation based on a generalized anti-maximum principle. Zbl 1024.34030
Torres, Pedro J.; Zhang, Meirong
2003
Periodic solutions of singular systems without the strong force condition. Zbl 1129.37033
Franco, Daniel; Torres, Pedro J.
2008
Periodic solutions of a singular equation with indefinite weight. Zbl 1232.34064
Bravo, José Luis; Torres, Pedro J.
2010
Periodic motions of linear impact oscillators via the successor map. Zbl 1092.34019
Qian, Dingbian; Torres, Pedro J.
2005
Existence and stability of periodic solutions for second-order semilinear differential equations with a singular nonlinearity. Zbl 1190.34050
Torres, Pedro J.
2007
Twist periodic solutions of repulsive singular equations. Zbl 1058.34052
Torres, Pedro J.; Zhang, Meirong
2004
Twist periodic solutions for differential equations with a combined attractive-repulsive singularity. Zbl 1347.34065
Chu, Jifeng; Torres, Pedro J.; Wang, Feng
2016
Periodic solutions for second order singular damped differential equations. Zbl 1232.34065
Chu, Jifeng; Fan, Ning; Torres, Pedro J.
2012
Nondegeneracy of the periodically forced Liénard differential equation with $$\phi$$-Laplacian. Zbl 1231.34077
Torres, P. J.
2011
Non-collision periodic solutions of forced dynamical systems with weak singularities. Zbl 1063.34035
Torres, Pedro J.
2004
Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: matter-wave breathers. Zbl 1057.35065
Montesinos, Gaspar D.; Pérez-García, Víctor M.; Torres, Pedro J.
2004
Periodic solutions to singular second-order differential equations: the repulsive case. Zbl 1279.34038
Hakl, Robert; Torres, Pedro J.; Zamora, Manuel
2012
Bouncing solutions of an equation with attractive singularity. Zbl 1062.34047
Qian, Dingbian; Torres, Pedro J.
2004
Periodic oscillations of the relativistic pendulum with friction. Zbl 1225.70010
Torres, P. J.
2008
Twist solutions of a Hill’s equation with singular term. Zbl 1016.34044
Torres, Pedro J.
2002
Lie symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities. Zbl 1147.35093
Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Vekslerchik, Vadym; Torres, Pedro J.
2008
Solitary waves for linearly coupled nonlinear Schrödinger equations with inhomogeneous coefficients. Zbl 1361.34043
Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Torres, Pedro J.
2009
Non-degeneracy and uniqueness of periodic solutions for $$2n$$-order differential equations. Zbl 1285.34033
Torres, Pedro J.; Cheng, Zhibo; Ren, Jingli
2013
Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem. Zbl 1323.34055
Chu, Jifeng; Torres, Pedro J.; Wang, Feng
2015
Existence and stability of periodic solutions of a Duffing equation by using a new maximum principle. Zbl 1115.34037
Torres, Pedro J.
2004
Similarity transformations for nonlinear Schrödinger equations with time-dependent coefficients. Zbl 1106.35101
Pérez-García, Víctor M.; Torres, Pedro J.; Konotop, Vladimir V.
2006
Guided waves in a multi-layered optical structure. Zbl 1113.34031
Torres, Pedro J.
2006
Existence and uniqueness of elliptic periodic solutions of the Brillouin electron beam focusing system. Zbl 0966.34038
Torres, Pedro J.
2000
Effects of diffusion on total biomass in simple metacommunities. Zbl 1397.92601
Ruiz-Herrera, Alfonso; Torres, Pedro J.
2018
Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior. Zbl 1394.37099
Liu, Qihuai; Torres, Pedro J.; Wang, Chao
2018
On the structure of the set of bounded solutions to a periodic Liénard equation. Zbl 0920.34045
Campos, Juan; Torres, Pedro J.
1999
Some multiplicity results for periodic solutions of a Rayleigh differential equation. Zbl 1001.34034
Habets, P.; Torres, P. J.
2001
On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs. Zbl 1308.34027
Margheri, Alessandro; Rebelo, Carlota; Torres, Pedro J.
2014
Existence of at least two periodic solutions of the forced relativistic pendulum. Zbl 1275.34057
Bereanu, Cristian; Torres, Pedro J.
2012
Bounded solutions in singular equations of repulsive type. Zbl 1126.34326
Torres, Pedro J.
1998
Dynamics of a periodic differential equation with a singular nonlinearity of attractive type. Zbl 0865.34030
Martínez-Amores, Pedro; Torres, Pedro J.
1996
Existence of closed solutions for a polynomial first order differential equation. Zbl 1115.34038
Torres, Pedro J.
2007
Isochronicity of a class of piecewise continuous oscillators. Zbl 1079.34018
Mañosas, Francesc; Torres, Pedro J.
2005
Maximum and antimaximum principles for a second order differential operator with variable coefficients of indefinite sign. Zbl 1235.34064
Hakl, Robert; Torres, Pedro J.
2011
Stable odd solutions of some periodic equations modeling satellite motion. Zbl 1034.34051
Nuñez, Daniel; Torres, Pedro J.
2003
On radial stationary solutions to a model of non-equilibrium growth. Zbl 1266.91051
Escudero, Carlos; Hakl, Robert; Peral, Ireneo; Torres, Pedro J.
2013
Vortex interaction dynamics in trapped Bose-Einstein condensates. Zbl 1238.34098
Torres, Pedro J.; Carretero-González, R.; Middelkamp, S.; Schmelcher, P.; Frantzeskakis, Dimitri J.; Kevrekidis, P. G.
2011
On a two-point boundary value problem for second-order singular equations. Zbl 1023.34011
Lomtatidze, A.; Torres, P.
2003
Twist character of the fourth order resonant periodic solution. Zbl 1098.34043
Lei, Jinzhi; Torres, Pedro J.; Zhang, Meirong
2005
On the existence and stability of periodic solutions for pendulum-like equations with friction and $$\phi$$-Laplacian. Zbl 1275.34059
Cid, J. Ángel; Torres, Pedro J.
2013
Radial solutions of the Dirichlet problem for the prescribed mean curvature equation in a Robertson-Walker spacetime. Zbl 1312.35122
de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2015
Solvability for some boundary value problems with $$\phi$$-Laplacian operators. Zbl 1163.34316
Cid, J. Ángel; Torres, Pedro J.
2009
Nonautonomous saddle-node bifurcation in a canonical electrostatic mems. Zbl 1270.34125
Gutiérrez, Alexander; Torres, Pedro J.
2013
Estimates on the number of limit cycles of a generalized Abel equation. Zbl 1372.34075
Alkoumi, Naeem M. H.; Torres, Pedro J.
2011
Bounded and homoclinic-like solutions of a second-order singular differential equation. Zbl 1244.34029
Bonheure, Denis; Torres, Pedro J.
2012
Prescribed mean curvature graphs with Neumann boundary conditions in some FLRW spacetimes. Zbl 1351.35219
Mawhin, Jean; Torres, Pedro J.
2016
Periodic motions of forced infinite lattices with nearest neighbor interaction. Zbl 0999.82050
Torres, Pedro J.
2000
Periodic solutions of second order equations via rotation numbers. Zbl 1410.34125
Qian, Dingbian; Torres, Pedro J.; Wang, Peiyu
2019
Existence and uniqueness of limit cycles for generalized $$\phi$$-Laplacian Liénard equations. Zbl 1346.34027
Pérez-González, S.; Torregrosa, J.; Torres, P. J.
2016
Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth. Zbl 1375.34037
Escudero, Carlos; Hakl, Robert; Peral, Ireneo; Torres, Pedro J.
2014
Non-trivial periodic solutions of a non-linear Hill’s equation with positively homogeneous term. Zbl 1105.34025
Torres, Pedro J.
2006
The method of moments for nonlinear Schrödinger equations: theory and applications. Zbl 1127.35061
Pérez-García, Víctor M.; Torres, Pedro J.; Montesinos, Gaspar D.
2007
Periodic solutions of twist type of an Earth satellite equation. Zbl 1068.70027
Núñez, Daniel; Torres, Pedro J.
2001
Periodic, quasi-periodic and unbounded solutions of radially symmetric systems with repulsive singularities at resonance. Zbl 1330.34069
Liu, Qihuai; Torres, Pedro J.; Qian, Dingbian
2015
Periodic solutions and chaotic dynamics in forced impact oscillators. Zbl 1284.34057
Ruiz-Herrera, Alfonso; Torres, Pedro J.
2013
On the existence of dark solitons in a cubic-quintic nonlinear Schrödinger equation with a periodic potential. Zbl 1158.35091
Torres, Pedro J.; Konotop, Vladimir V.
2008
Existence of periodic solutions for functional equations with periodic delay. Zbl 1136.34053
Franco, Daniel; Liz, Eduardo; Torres, Pedro J.
2007
Existence of dark soliton solutions of the cubic nonlinear Schrödinger equation with periodic inhomogeneous nonlinearity. Zbl 1362.35279
Belmonte-Beitia, Juan; Torres, Pedro J.
2008
Periodic motions in a gravitational central field with a rotating external force. Zbl 1266.34070
Fonda, Alessandro; Toader, Rodica; Torres, Pedro J.
2012
Entire spherically symmetric spacelike graphs with prescribed mean curvature function in Schwarzschild and Reissner-Nordström spacetimes. Zbl 1312.83007
De la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2015
Existence and stability of periodic oscillations of a rigid dumbbell satellite around its center of mass. Zbl 1425.70040
Chu, Jifeng; Liang, Zaitao; Torres, Pedro J.; Zhou, Zhe
2017
Critical point theory for the Lorentz force equation. Zbl 1421.35095
Arcoya, David; Bereanu, Cristian; Torres, Pedro J.
2019
Existence and multiplicity of entire radial spacelike graphs with prescribed mean curvature function in certain Friedmann-Lemaître-Robertson-Walker spacetimes. Zbl 1368.35154
Bereanu, Cristian; de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2017
Periodic and quasi-periodic motions of a relativistic particle under a central force field. Zbl 1269.34049
Torres, Pedro J.; Ureña, Antonio J.; Zamora, Manuel
2013
On the motion of an oscillator with a periodically time-varying mass. Zbl 1163.34354
Núñez, Daniel; Torres, Pedro J.
2009
Some remarks on a Neumann boundary value problem arising in fluid dynamics. Zbl 1053.34019
Torres, Pedro J.
2004
Unchanged direction motion in general relativity: the problems of prescribing acceleration and the extensibility of trajectories. Zbl 1331.83004
de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2015
Existence results for a fourth order partial differential equation arising in condensed matter physics. Zbl 1363.35080
Escudero, Carlos; Gazzola, Filippo; Hakl, Robert; Peral, Ireneo; Torres, Pedro José
2015
Periodic motions of fluid particles induced by a prescribed vortex path in a circular domain. Zbl 1284.70033
Boscaggin, Alberto; Torres, Pedro J.
2013
KAM dynamics and stabilization of a particle sliding over a periodically driven curve. Zbl 1130.70320
Núñez, Daniel; Torres, Pedro J.
2007
Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaître-Robertson-Walker spacetimes. Zbl 1391.35043
Dai, Guowei; Romero, Alfonso; Torres, Pedro J.
2018
Necessary and suffient conditions for existence of periodic motions of forced systems of particles. Zbl 1001.34038
Torres, Pedro J.
2001
Existence of radial solutions to biharmonic $$k$$-Hessian equations. Zbl 1337.34023
Escudero, Carlos; Torres, Pedro J.
2015
$$L^1$$ criteria for stability of periodic solutions of a Newtonian equation. Zbl 1097.34041
Lei, Jinzhi; Torres, Pedro J.
2006
A new relativistic extension of the harmonic oscillator satisfying an isochronicity principle. Zbl 1391.83006
de la Fuente, Daniel; Torres, Pedro J.
2017
Point-vortex stability under the influence of an external periodic flow. Zbl 1393.37068
Ortega, Rafael; Ortega, Víctor; Torres, Pedro J.
2018
Chaotic dynamics of the Kepler problem with oscillating singularity. Zbl 1403.70004
Margheri, Alessandro; Torres, Pedro J.
2016
Integrability of the Basener-Ross model with time-dependent coefficients. Zbl 1423.34050
Güngör, F.; Torres, P. J.
2019
Periodic solutions of some differential equations with nonlinear damping. Zbl 1023.34039
Torres, Pedro J.
2002
Lie point symmetry analysis of a second order differential equation with singularity. Zbl 1377.34045
Güngör, F.; Torres, P. J.
2017
Two inverse problems for analytic potential systems. Zbl 1163.34007
Mañosas, F.; Torres, Pedro J.
2008
Periodic oscillations of a model for membrane permeability with fluctuating environmental conditions. Zbl 1321.34070
Torres, Pedro J.
2015
Stabilization by vertical vibrations. Zbl 1176.34073
Núñez, Daniel; Torres, Pedro J.
2009
Periodic dynamics of a derivative nonlinear Schrödinger equation with variable coefficients. Zbl 1428.35527
Liu, Qihuai; Liu, Wenye; Torres, Pedro J.; Huang, Wentao
2020
Lusternik-Schnirelman theory for the action integral of the Lorentz force equation. Zbl 1434.78006
Arcoya, David; Bereanu, Cristian; Torres, Pedro J.
2020
Existence and extendibility of rotationally symmetric graphs with a prescribed higher mean curvature function in Euclidean and Minkowski spaces. Zbl 1351.53075
de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2017
Uniform circular motion in general relativity: existence and extendibility of the trajectories. Zbl 1367.83018
de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2017
Modulated amplitude waves with non-trivial phase in quasi-1D inhomogeneous Bose-Einstein condensates. Zbl 1301.35158
Torres, Pedro J.
2014
Analog of the Gellerstedt problem for a loaded equation of the third order. Zbl 1423.35257
Baltaeva, Umida; Torres, Pedro J.
2019
Invariance of the stability of Meissner’s equation under a permutation of its intervals. Zbl 1105.34312
Almira, J. M.; Torres, P. J.
2001
On the number of limit cycles of a generalized Abel equation. Zbl 1224.34097
Alkoumi, Naeem; Torres, Pedro J.
2011
Stability of motion induced by a point vortex under arbitrary polynomial perturbations. Zbl 1466.37046
Liu, Qihuai; Torres, Pedro J.
2021
Periodic dynamics of a derivative nonlinear Schrödinger equation with variable coefficients. Zbl 1428.35527
Liu, Qihuai; Liu, Wenye; Torres, Pedro J.; Huang, Wentao
2020
Lusternik-Schnirelman theory for the action integral of the Lorentz force equation. Zbl 1434.78006
Arcoya, David; Bereanu, Cristian; Torres, Pedro J.
2020
Bifurcation of relative equilibria generated by a circular vortex path in a circular domain. Zbl 1454.37086
Rojas, David; Torres, Pedro J.
2020
Invariance of second order ordinary differential equations under two-dimensional affine subalgebras of Ermakov-Pinney Lie algebra. Zbl 07247126
Cariñena, J. F.; Güngör, F.; Torres, P. J.
2020
Periodic solutions for the Lorentz force equation with singular potentials. Zbl 1456.34041
Garzón, Manuel; Torres, Pedro J.
2020
Periodic solutions of second order equations via rotation numbers. Zbl 1410.34125
Qian, Dingbian; Torres, Pedro J.; Wang, Peiyu
2019
Critical point theory for the Lorentz force equation. Zbl 1421.35095
Arcoya, David; Bereanu, Cristian; Torres, Pedro J.
2019
Integrability of the Basener-Ross model with time-dependent coefficients. Zbl 1423.34050
Güngör, F.; Torres, P. J.
2019
Analog of the Gellerstedt problem for a loaded equation of the third order. Zbl 1423.35257
Baltaeva, Umida; Torres, Pedro J.
2019
Modulated amplitude waves with non-trivial phase of multi-component Bose-Einstein condensates in optical lattices. Zbl 1484.82025
Liu, Qihuai; Torres, Pedro J.; Xing, Mingyan
2019
Effects of diffusion on total biomass in simple metacommunities. Zbl 1397.92601
Ruiz-Herrera, Alfonso; Torres, Pedro J.
2018
Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior. Zbl 1394.37099
Liu, Qihuai; Torres, Pedro J.; Wang, Chao
2018
Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaître-Robertson-Walker spacetimes. Zbl 1391.35043
Dai, Guowei; Romero, Alfonso; Torres, Pedro J.
2018
Point-vortex stability under the influence of an external periodic flow. Zbl 1393.37068
Ortega, Rafael; Ortega, Víctor; Torres, Pedro J.
2018
Corrigendum: “Entire spherically symmetric spacelike graphs with prescribed mean curvature function in Schwarzschild and Reissner-Nordström spacetimes”. Zbl 1408.83007
de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2018
Existence and stability of periodic oscillations of a rigid dumbbell satellite around its center of mass. Zbl 1425.70040
Chu, Jifeng; Liang, Zaitao; Torres, Pedro J.; Zhou, Zhe
2017
Existence and multiplicity of entire radial spacelike graphs with prescribed mean curvature function in certain Friedmann-Lemaître-Robertson-Walker spacetimes. Zbl 1368.35154
Bereanu, Cristian; de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2017
A new relativistic extension of the harmonic oscillator satisfying an isochronicity principle. Zbl 1391.83006
de la Fuente, Daniel; Torres, Pedro J.
2017
Lie point symmetry analysis of a second order differential equation with singularity. Zbl 1377.34045
Güngör, F.; Torres, P. J.
2017
Existence and extendibility of rotationally symmetric graphs with a prescribed higher mean curvature function in Euclidean and Minkowski spaces. Zbl 1351.53075
de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2017
Uniform circular motion in general relativity: existence and extendibility of the trajectories. Zbl 1367.83018
de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2017
Twist periodic solutions for differential equations with a combined attractive-repulsive singularity. Zbl 1347.34065
Chu, Jifeng; Torres, Pedro J.; Wang, Feng
2016
Prescribed mean curvature graphs with Neumann boundary conditions in some FLRW spacetimes. Zbl 1351.35219
Mawhin, Jean; Torres, Pedro J.
2016
Existence and uniqueness of limit cycles for generalized $$\phi$$-Laplacian Liénard equations. Zbl 1346.34027
Pérez-González, S.; Torregrosa, J.; Torres, P. J.
2016
Chaotic dynamics of the Kepler problem with oscillating singularity. Zbl 1403.70004
Margheri, Alessandro; Torres, Pedro J.
2016
Mathematical models with singularities. A zoo of singular creatures. Zbl 1305.00097
Torres, Pedro J.
2015
Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem. Zbl 1323.34055
Chu, Jifeng; Torres, Pedro J.; Wang, Feng
2015
Radial solutions of the Dirichlet problem for the prescribed mean curvature equation in a Robertson-Walker spacetime. Zbl 1312.35122
de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2015
Periodic, quasi-periodic and unbounded solutions of radially symmetric systems with repulsive singularities at resonance. Zbl 1330.34069
Liu, Qihuai; Torres, Pedro J.; Qian, Dingbian
2015
Entire spherically symmetric spacelike graphs with prescribed mean curvature function in Schwarzschild and Reissner-Nordström spacetimes. Zbl 1312.83007
De la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2015
Unchanged direction motion in general relativity: the problems of prescribing acceleration and the extensibility of trajectories. Zbl 1331.83004
de la Fuente, Daniel; Romero, Alfonso; Torres, Pedro J.
2015
Existence results for a fourth order partial differential equation arising in condensed matter physics. Zbl 1363.35080
Escudero, Carlos; Gazzola, Filippo; Hakl, Robert; Peral, Ireneo; Torres, Pedro José
2015
Existence of radial solutions to biharmonic $$k$$-Hessian equations. Zbl 1337.34023
Escudero, Carlos; Torres, Pedro J.
2015
Periodic oscillations of a model for membrane permeability with fluctuating environmental conditions. Zbl 1321.34070
Torres, Pedro J.
2015
On the use of Morse index and rotation numbers for multiplicity results of resonant BVPs. Zbl 1308.34027
Margheri, Alessandro; Rebelo, Carlota; Torres, Pedro J.
2014
Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth. Zbl 1375.34037
Escudero, Carlos; Hakl, Robert; Peral, Ireneo; Torres, Pedro J.
2014
Modulated amplitude waves with non-trivial phase in quasi-1D inhomogeneous Bose-Einstein condensates. Zbl 1301.35158
Torres, Pedro J.
2014
Positive radial solutions for Dirichlet problems with mean curvature operators in Minkowski space. Zbl 1336.35174
Bereanu, Cristian; Jebelean, Petru; Torres, Pedro J.
2013
Multiple positive radial solutions for a Dirichlet problem involving the mean curvature operator in Minkowski space. Zbl 1285.35051
Bereanu, Cristian; Jebelean, Petru; Torres, Pedro J.
2013
Non-degeneracy and uniqueness of periodic solutions for $$2n$$-order differential equations. Zbl 1285.34033
Torres, Pedro J.; Cheng, Zhibo; Ren, Jingli
2013
On radial stationary solutions to a model of non-equilibrium growth. Zbl 1266.91051
Escudero, Carlos; Hakl, Robert; Peral, Ireneo; Torres, Pedro J.
2013
On the existence and stability of periodic solutions for pendulum-like equations with friction and $$\phi$$-Laplacian. Zbl 1275.34059
Cid, J. Ángel; Torres, Pedro J.
2013
Nonautonomous saddle-node bifurcation in a canonical electrostatic mems. Zbl 1270.34125
Gutiérrez, Alexander; Torres, Pedro J.
2013
Periodic solutions and chaotic dynamics in forced impact oscillators. Zbl 1284.34057
Ruiz-Herrera, Alfonso; Torres, Pedro J.
2013
Periodic and quasi-periodic motions of a relativistic particle under a central force field. Zbl 1269.34049
Torres, Pedro J.; Ureña, Antonio J.; Zamora, Manuel
2013
Periodic motions of fluid particles induced by a prescribed vortex path in a circular domain. Zbl 1284.70033
Boscaggin, Alberto; Torres, Pedro J.
2013
Mathematical analysis of a model for moon-triggered clumping in Saturn’s rings. Zbl 1292.70013
Torres, Pedro J.; Madhusudhanan, Prasanna; Esposito, Larry W.
2013
Existence of periodic and solitary waves for a nonlinear Schrödinger equation with nonlocal integral term of convolution type. Zbl 1261.35133
Katatbeh, Qutaibeh D.; Torres, Pedro J.
2013
Periodic solutions for second order singular damped differential equations. Zbl 1232.34065
Chu, Jifeng; Fan, Ning; Torres, Pedro J.
2012
Periodic solutions to singular second-order differential equations: the repulsive case. Zbl 1279.34038
Hakl, Robert; Torres, Pedro J.; Zamora, Manuel
2012
Existence of at least two periodic solutions of the forced relativistic pendulum. Zbl 1275.34057
Bereanu, Cristian; Torres, Pedro J.
2012
Bounded and homoclinic-like solutions of a second-order singular differential equation. Zbl 1244.34029
Bonheure, Denis; Torres, Pedro J.
2012
Periodic motions in a gravitational central field with a rotating external force. Zbl 1266.34070
Fonda, Alessandro; Toader, Rodica; Torres, Pedro J.
2012
Stabilization of optically coupled lasers with periodic pumping. Zbl 1334.78037
Torres, P. J.
2012
The Lazer-Solimini equation with state-dependent delay. Zbl 1252.34077
Gutiérrez, Alexander; Torres, Pedro J.
2012
Periodic solutions of singular second order differential equations: upper and lower functions. Zbl 1232.34068
Hakl, Robert; Torres, Pedro J.; Zamora, Manuel
2011
Nondegeneracy of the periodically forced Liénard differential equation with $$\phi$$-Laplacian. Zbl 1231.34077
Torres, P. J.
2011
Maximum and antimaximum principles for a second order differential operator with variable coefficients of indefinite sign. Zbl 1235.34064
Hakl, Robert; Torres, Pedro J.
2011
Vortex interaction dynamics in trapped Bose-Einstein condensates. Zbl 1238.34098
Torres, Pedro J.; Carretero-González, R.; Middelkamp, S.; Schmelcher, P.; Frantzeskakis, Dimitri J.; Kevrekidis, P. G.
2011
Estimates on the number of limit cycles of a generalized Abel equation. Zbl 1372.34075
Alkoumi, Naeem M. H.; Torres, Pedro J.
2011
On the number of limit cycles of a generalized Abel equation. Zbl 1224.34097
Alkoumi, Naeem; Torres, Pedro J.
2011
A combined variational-topological approach for dispersion-managed solitons in optical fibers. Zbl 1232.35153
Hakl, Robert; Torres, Pedro J.
2011
Periodic solutions of Liénard equation with one or two weak singularities. Zbl 1236.34061
Gutiérrez, Alexander; Torres, Pedro J.
2011
On periodic solutions of second-order differential equations with attractive-repulsive singularities. Zbl 1187.34049
Hakl, Robert; Torres, Pedro J.
2010
Periodic solutions of a singular equation with indefinite weight. Zbl 1232.34064
Bravo, José Luis; Torres, Pedro J.
2010
Solitary waves for linearly coupled nonlinear Schrödinger equations with inhomogeneous coefficients. Zbl 1361.34043
Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Torres, Pedro J.
2009
Solvability for some boundary value problems with $$\phi$$-Laplacian operators. Zbl 1163.34316
Cid, J. Ángel; Torres, Pedro J.
2009
On the motion of an oscillator with a periodically time-varying mass. Zbl 1163.34354
Núñez, Daniel; Torres, Pedro J.
2009
Stabilization by vertical vibrations. Zbl 1176.34073
Núñez, Daniel; Torres, Pedro J.
2009
A single particle impact model for motion in avalanches. Zbl 1179.37117
Veerman, J. J. P.; Daescu, D.; Romero-Vallés, M. J.; Torres, P. J.
2009
Periodic solutions of singular systems without the strong force condition. Zbl 1129.37033
Franco, Daniel; Torres, Pedro J.
2008
Periodic oscillations of the relativistic pendulum with friction. Zbl 1225.70010
Torres, P. J.
2008
Lie symmetries, qualitative analysis and exact solutions of nonlinear Schrödinger equations with inhomogeneous nonlinearities. Zbl 1147.35093
Belmonte-Beitia, Juan; Pérez-García, Víctor M.; Vekslerchik, Vadym; Torres, Pedro J.
2008
On the existence of dark solitons in a cubic-quintic nonlinear Schrödinger equation with a periodic potential. Zbl 1158.35091
Torres, Pedro J.; Konotop, Vladimir V.
2008
Existence of dark soliton solutions of the cubic nonlinear Schrödinger equation with periodic inhomogeneous nonlinearity. Zbl 1362.35279
Belmonte-Beitia, Juan; Torres, Pedro J.
2008
Two inverse problems for analytic potential systems. Zbl 1163.34007
Mañosas, F.; Torres, Pedro J.
2008
Periodic solutions of second order non-autonomous singular dynamical systems. Zbl 1127.34023
Chu, Jifeng; Torres, Pedro J.; Zhang, Meirong
2007
Weak singularities may help periodic solutions to exist. Zbl 1116.34036
Torres, Pedro J.
2007
Applications of Schauder’s fixed point theorem to singular differential equations. Zbl 1128.34027
Chu, Jifeng; Torres, Pedro J.
2007
Existence and stability of periodic solutions for second-order semilinear differential equations with a singular nonlinearity. Zbl 1190.34050
Torres, Pedro J.
2007
Existence of closed solutions for a polynomial first order differential equation. Zbl 1115.34038
Torres, Pedro J.
2007
The method of moments for nonlinear Schrödinger equations: theory and applications. Zbl 1127.35061
Pérez-García, Víctor M.; Torres, Pedro J.; Montesinos, Gaspar D.
2007
Existence of periodic solutions for functional equations with periodic delay. Zbl 1136.34053
Franco, Daniel; Liz, Eduardo; Torres, Pedro J.
2007
KAM dynamics and stabilization of a particle sliding over a periodically driven curve. Zbl 1130.70320
Núñez, Daniel; Torres, Pedro J.
2007
Dynamics of a jumping particle on a staircase profile. Zbl 1133.70010
Campos, J.; Romero-Vallés, M. J.; Torres, P. J.; Veerman, J. J. P.
2007
Similarity transformations for nonlinear Schrödinger equations with time-dependent coefficients. Zbl 1106.35101
Pérez-García, Víctor M.; Torres, Pedro J.; Konotop, Vladimir V.
2006
Guided waves in a multi-layered optical structure. Zbl 1113.34031
Torres, Pedro J.
2006
Non-trivial periodic solutions of a non-linear Hill’s equation with positively homogeneous term. Zbl 1105.34025
Torres, Pedro J.
2006
$$L^1$$ criteria for stability of periodic solutions of a Newtonian equation. Zbl 1097.34041
Lei, Jinzhi; Torres, Pedro J.
2006
Periodic motions of linear impact oscillators via the successor map. Zbl 1092.34019
Qian, Dingbian; Torres, Pedro J.
2005
Isochronicity of a class of piecewise continuous oscillators. Zbl 1079.34018
Mañosas, Francesc; Torres, Pedro J.
2005
Twist character of the fourth order resonant periodic solution. Zbl 1098.34043
Lei, Jinzhi; Torres, Pedro J.; Zhang, Meirong
2005
Twist periodic solutions of repulsive singular equations. Zbl 1058.34052
Torres, Pedro J.; Zhang, Meirong
2004
Non-collision periodic solutions of forced dynamical systems with weak singularities. Zbl 1063.34035
Torres, Pedro J.
2004
Stabilization of solitons of the multidimensional nonlinear Schrödinger equation: matter-wave breathers. Zbl 1057.35065
Montesinos, Gaspar D.; Pérez-García, Víctor M.; Torres, Pedro J.
2004
Bouncing solutions of an equation with attractive singularity. Zbl 1062.34047
Qian, Dingbian; Torres, Pedro J.
2004
Existence and stability of periodic solutions of a Duffing equation by using a new maximum principle. Zbl 1115.34037
Torres, Pedro J.
2004
Some remarks on a Neumann boundary value problem arising in fluid dynamics. Zbl 1053.34019
Torres, Pedro J.
2004
Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem. Zbl 1032.34040
Torres, Pedro J.
2003
...and 16 more Documents
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### Cited by 785 Authors

 57 Torres, Pedro José 40 Cheng, Zhibo 32 Ma, Ruyun 29 Chu, Jifeng 22 Lu, Shiping 22 Qian, Dingbian 21 Xin, Yun 19 Zanolin, Fabio 18 Zamora, Manuel 17 Li, Shengjun 17 Liang, Zaitao 17 Liu, Qihuai 16 Boscaggin, Alberto 16 Cid, José Ángel 14 Cabada, Alberto 12 Wang, Feng 12 Zhang, Meirong 11 Fonda, Alessandro 11 Kong, Fanchao 11 Li, Xiong 11 Pérez-García, Víctor Manuel 10 Belmonte-Beitia, Juan 10 He, Zhiqian 10 Wang, Yuanshi 9 Dai, Guowei 9 Hakl, Robert 9 Yao, Shaowen 9 Zima, Mirosława 8 Bereanu, Cristian 8 Jebelean, Petru 8 Lu, Yanqiong 8 Ma, Tiantian 8 Mawhin, Jean L. 8 Ren, Jingli 8 Yu, Xingchen 7 Garrione, Maurizio 7 Kong, Lingju 7 Li, Yongxiang 7 Liao, Fangfang 7 Marò, Stefano 7 O’Regan, Donal 7 Romero, Alfonso 7 Toader, Rodica 7 Wang, Chao 7 Wang, Fanglei 7 Wang, Zaihong 7 Zhang, Ziheng 6 Chen, Tianlan 6 Feltrin, Guglielmo 6 Graef, John R. 6 Llibre, Jaume 6 Nuñez, Daniel E. 6 Wang, Haiyan 6 Wang, Zhiguo 6 Xu, Man 5 Cui, Xiaoxiao 5 de la Fuente, Daniel 5 Huang, Jianfeng 5 Jiang, Daqing 5 Margheri, Alessandro 5 Miao, Liangying 5 Nieto Roig, Juan Jose 5 Pei, Minghe 5 Šremr, Jiří 5 Valls Anglés, Cláudia 5 Wang, Libo 5 Wu, Hong 5 Yang, Rui 5 Zhang, Xuemei 5 Zhang, Zhitao 4 An, Yukun 4 Chen, Xingwu 4 Feng, Meiqiang 4 Gurban, Daniela 4 Kong, Qingkai 4 Konotop, Vladimir V. 4 Korman, Philip L. 4 Liang, Haihua 4 Liu, Hongmin 4 Luo, Haijun 4 Minhós, Feliz Manuel 4 Rivera, Andrés M. 4 Sim, Inbo 4 Torregrosa, Joan 4 Tvrdý, Milan 4 Villari, Gabriele 4 Wang, Min 4 Wang, Shuang 4 Wu, Yinyin 4 Yao, Qingliu 3 Amster, Pablo 3 Azzollini, Antonio 3 Bravetti, Alessandro 3 Bravo, José Luis 3 Burra, Lakshmi 3 Cao, Zhongwei 3 Chen, Lijuan 3 Chen, Ruipeng 3 Cho, Yonggeun 3 Cieutat, Philippe ...and 685 more Authors
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### Cited in 167 Serials

 66 Boundary Value Problems 46 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 43 Journal of Mathematical Analysis and Applications 43 Journal of Differential Equations 27 Advances in Difference Equations 24 Applied Mathematics and Computation 22 Applied Mathematics Letters 20 Nonlinear Analysis. Real World Applications 20 Journal of Fixed Point Theory and Applications 18 Abstract and Applied Analysis 17 Advanced Nonlinear Studies 15 Physica D 14 Qualitative Theory of Dynamical Systems 13 NoDEA. Nonlinear Differential Equations and Applications 12 Communications in Nonlinear Science and Numerical Simulation 11 Proceedings of the American Mathematical Society 11 Discrete and Continuous Dynamical Systems 10 Journal of Mathematical Physics 10 Journal of Dynamics and Differential Equations 10 Communications on Pure and Applied Analysis 8 Communications in Contemporary Mathematics 8 Discrete and Continuous Dynamical Systems. Series B 7 Computers & Mathematics with Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Chaos, Solitons and Fractals 7 Mathematische Nachrichten 7 Journal of Difference Equations and Applications 7 Mediterranean Journal of Mathematics 7 Journal of Function Spaces 6 Mathematical Methods in the Applied Sciences 6 Acta Applicandae Mathematicae 6 Positivity 6 Regular and Chaotic Dynamics 5 Applicable Analysis 5 Rocky Mountain Journal of Mathematics 5 Monatshefte für Mathematik 5 Mathematical Problems in Engineering 5 Journal of Inequalities and Applications 5 Chaos 5 SIAM Journal on Applied Dynamical Systems 5 Advances in Nonlinear Analysis 5 AIMS Mathematics 4 Bulletin of the Australian Mathematical Society 4 Journal of Geometry and Physics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Celestial Mechanics and Dynamical Astronomy 4 Georgian Mathematical Journal 4 Nonlinear Dynamics 4 Journal of Theoretical Biology 3 General Relativity and Gravitation 3 Journal of Functional Analysis 3 Results in Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Nonlinear Science 3 New Journal of Physics 3 Acta Mathematica Sinica. English Series 3 Journal of Applied Mathematics 3 Acta Mathematica Scientia. Series A. (Chinese Edition) 3 International Journal of Geometric Methods in Modern Physics 3 Differential Equations and Applications 3 Journal of Applied Analysis and Computation 2 Acta Mechanica 2 Classical and Quantum Gravity 2 Indian Journal of Pure & Applied Mathematics 2 Nonlinearity 2 Physica A 2 Bulletin of Mathematical Biology 2 Archiv der Mathematik 2 Journal of Computational and Applied Mathematics 2 Mathematics and Computers in Simulation 2 Quarterly of Applied Mathematics 2 Theoretical Population Biology 2 Bulletin of the Korean Mathematical Society 2 Stochastic Analysis and Applications 2 Acta Mathematicae Applicatae Sinica. English Series 2 European Journal of Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Topological Methods in Nonlinear Analysis 2 Calculus of Variations and Partial Differential Equations 2 Electronic Journal of Differential Equations (EJDE) 2 Turkish Journal of Mathematics 2 Complexity 2 Mathematical Communications 2 Taiwanese Journal of Mathematics 2 Discrete Dynamics in Nature and Society 2 Journal of Dynamical and Control Systems 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Nonlinear Mathematical Physics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Applied Mathematics and Computing 2 Milan Journal of Mathematics 2 Journal of Function Spaces and Applications 2 Nonlinear Oscillations 2 Discrete and Continuous Dynamical Systems. Series S 2 Open Mathematics 2 SN Partial Differential Equations and Applications 1 Modern Physics Letters B ...and 67 more Serials
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### Cited in 36 Fields

 558 Ordinary differential equations (34-XX) 218 Operator theory (47-XX) 167 Partial differential equations (35-XX) 140 Dynamical systems and ergodic theory (37-XX) 60 Mechanics of particles and systems (70-XX) 29 Differential geometry (53-XX) 28 Difference and functional equations (39-XX) 22 Statistical mechanics, structure of matter (82-XX) 21 Fluid mechanics (76-XX) 21 Quantum theory (81-XX) 20 Biology and other natural sciences (92-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Numerical analysis (65-XX) 13 Optics, electromagnetic theory (78-XX) 12 Relativity and gravitational theory (83-XX) 11 Mechanics of deformable solids (74-XX) 8 Integral equations (45-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 6 Real functions (26-XX) 6 General topology (54-XX) 5 Functional analysis (46-XX) 5 Probability theory and stochastic processes (60-XX) 4 Systems theory; control (93-XX) 3 Abstract harmonic analysis (43-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)