## Discrete and Continuous Dynamical Systems. Series S

 Short Title: Discrete Contin. Dyn. Syst., Ser. S Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1937-1632; 1937-1179/e Online: https://www.aimsciences.org/journal/1937-1632http://aimsciences.org/journals/home.jsp?journalID=15 Comments: Indexed cover-to-cover
 Documents Indexed: 1,544 Publications (since 2008) References Indexed: 1,073 Publications with 30,508 References.
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### Latest Issues

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### Authors

 20 Miranville, Alain M. 15 Atangana, Abdon 11 Fragnelli, Genni 11 Torres, Delfim Fernando Marado 10 García Guirao, Juan Luis 9 Favini, Angelo 9 Goldstein, Jerome Arthur 9 Jarad, Fahd 9 Khalique, Chaudry Masood 9 Mikula, Karol 9 Stefanelli, Ulisse 8 Abdeljawad, Thabet 8 Feireisl, Eduard 8 Feng, Zhaosheng 8 Hammouch, Zakia 8 Ruiz Goldstein, Giséle 7 Beirão da Veiga, Hugo 7 Ishiwata, Tetsuya 7 Owolabi, Kolade Matthew 7 Papageorgiou, Nikolaos S. 7 Rocca, Elisabetta 7 Romanelli, Silvia 7 Roubíček, Tomáš 7 Thomas, Marita 6 Caraballo Garrido, Tomás 6 Frénod, Emmanuel 6 Gandarias Núñez, Maria Luz 6 Khan, Muhammad Altaf 6 Mielke, Alexander 6 Nečasová, Šárka 6 Nicaise, Serge 5 Akgül, Ali 5 Băleanu, Dumitru I. 5 Bonyah, Ebenezer 5 Cherfils, Laurence 5 Fabrizio, Mauro 5 Goubet, Olivier 5 Hamdouni, Aziz 5 Krejčí, Pavel 5 Lasiecka, Irena 5 Liero, Matthias 5 Lorenzi, Luca 5 Málek, Josef 5 Mugnai, Dimitri 5 Naz, Rehana 5 Rossi, Riccarda 5 Sprekels, Jürgen 5 Yazaki, Shigetoshi 5 Yu, Jian-She 4 Abels, Helmut 4 Abouelmagd, Elbaz I. 4 Aiki, Toyohiko 4 Amrouche, Chérif 4 Beneš, Michal 4 Berselli, Luigi Carlo 4 Bruzón, Maria Santos 4 Choquet, Catherine 4 Doungmo Goufo, Emile Franc 4 Eleuteri, Michela 4 Fernández Martínez, Manuel 4 Gilardi, Gianni 4 Giorgi, Claudio 4 Gómez-Aguilar, José Francisco 4 Guidetti, Davide 4 Han, Maoan 4 Kenmochi, Nobuyuki 4 Kružík, Martin 4 Kuang, Yang 4 Kumar, Devendra 4 Laamri, El Haj 4 Lancia, Maria Rosaria 4 Martins, Natália F. 4 Pokorný, Milan 4 Rădulescu, Vicenţiu D. 4 Sidi Ammi, Moulay Rchid 4 Sonnendrücker, Eric 4 Squassina, Marco 4 Visintin, Augusto 4 Yang, Xue 4 Zhang, Lijun 3 Agarwal, Ravi P. 3 Al-Horani, Mohammed 3 Almeida, Ricardo 3 Balanov, Zalman I. 3 Bao, Feng 3 Baskonus, Haci Mehmet 3 Benci, Vieri 3 Bergam, Amal 3 Bocharov, Gennady A. 3 Bonanno, Gabriele 3 Bonetti, Elena 3 Bothe, Dieter 3 Bulíček, Miroslav 3 Candela, Anna Maria 3 Cannarsa, Piermarco 3 Cao, Jinde 3 Cesaroni, Annalisa 3 Chehab, Jean-Paul 3 Coclite, Giuseppe Maria 3 Colli, Pierluigi ...and 2,681 more Authors
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### Fields

 857 Partial differential equations (35-XX) 250 Ordinary differential equations (34-XX) 227 Dynamical systems and ergodic theory (37-XX) 196 Numerical analysis (65-XX) 193 Fluid mechanics (76-XX) 180 Biology and other natural sciences (92-XX) 144 Mechanics of deformable solids (74-XX) 143 Calculus of variations and optimal control; optimization (49-XX) 111 Operator theory (47-XX) 103 Systems theory; control (93-XX) 79 Real functions (26-XX) 74 General and overarching topics; collections (00-XX) 71 Mechanics of particles and systems (70-XX) 60 Operations research, mathematical programming (90-XX) 56 Statistical mechanics, structure of matter (82-XX) 47 Classical thermodynamics, heat transfer (80-XX) 43 Optics, electromagnetic theory (78-XX) 42 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 38 Probability theory and stochastic processes (60-XX) 38 Computer science (68-XX) 36 Global analysis, analysis on manifolds (58-XX) 31 Integral equations (45-XX) 28 Functional analysis (46-XX) 27 Differential geometry (53-XX) 23 Measure and integration (28-XX) 22 Information and communication theory, circuits (94-XX) 19 Difference and functional equations (39-XX) 18 History and biography (01-XX) 13 Statistics (62-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 12 Quantum theory (81-XX) 11 Potential theory (31-XX) 11 Special functions (33-XX) 11 General topology (54-XX) 11 Geophysics (86-XX) 10 Combinatorics (05-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Integral transforms, operational calculus (44-XX) 8 Number theory (11-XX) 8 Approximations and expansions (41-XX) 7 Functions of a complex variable (30-XX) 6 Nonassociative rings and algebras (17-XX) 6 Topological groups, Lie groups (22-XX) 6 Convex and discrete geometry (52-XX) 5 Relativity and gravitational theory (83-XX) 4 Sequences, series, summability (40-XX) 3 Algebraic geometry (14-XX) 3 Manifolds and cell complexes (57-XX) 3 Astronomy and astrophysics (85-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

897 Publications have been cited 4,895 times in 4,479 Documents Cited by Year
Stability of the heat and of the wave equations with boundary time-varying delays. Zbl 1171.93029
Nicaise, Serge; Valein, Julie; Fridman, Emilia
2009
Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators. Zbl 1290.26010
Vázquez, Juan-Luis
2014
On a new fractional Sobolev space and applications to nonlocal variational problems with variable exponent. Zbl 1374.35158
Bahrouni, Anouar; Rădulescu, Vicenţiu D.
2018
Exponential stability of the wave equation with boundary time-varying delay. Zbl 1215.35030
Nicaise, Serge; Pignotti, Cristina; Valein, Julie
2011
Generalized fractional derivatives and Laplace transform. Zbl 1444.44002
2020
On existence, uniform decay rates and blow up for solutions of systems of nonlinear wave equations with damping and source terms. Zbl 1183.35033
Alves, Claudianor O.; Cavalcanti, Marcelo M.; Domingos Cavalcanti, Valeria N.; Rammaha, Mohammad A.; Toundykov, Daniel
2009
Uniform energy decay for a wave equation with partially supported nonlinear boundary dissipation without growth restrictions. Zbl 1172.35443
Daoulatli, Moez; Lasiecka, Irena; Toundykov, Daniel
2009
Global existence and exponential decay rates for the Westervelt equation. Zbl 1180.35108
Kaltenbacher, Barbara; Lasiecka, Irena
2009
Conservation laws by symmetries and adjoint symmetries. Zbl 1386.70041
Ma, Wen-Xiu
2018
Some recent results on the Dirichlet problem for $$(p,q)$$-Laplace equations. Zbl 1374.35137
Marano, Salvatore A.; Mosconi, Sunra J. N.
2018
Non-autonomous attractors for integro-differential evolution equations. Zbl 1185.45016
Caraballo, Tomás; Kloeden, P. E.
2009
A new finite element scheme for Landau-Lifschitz equations. Zbl 1152.35304
Alouges, François
2008
Soliton and blow-up solutions to the time-dependent Schrödinger-Hartree equation. Zbl 1247.35143
Genev, Hristo; Venkov, George
2012
A simple proof of well-posedness for the free-surface incompressible Euler equations. Zbl 1210.35163
Coutand, Daniel; Shkoller, Steve
2010
Iterative methods for approximating fixed points of Bregman nonexpansive operators. Zbl 1266.26023
Martín-Márquez, Victoria; Reich, Simeon; Sabach, Shoham
2013
New aspects of time fractional optimal control problems within operators with nonsingular kernel. Zbl 1439.49010
Yıldız, Tuğba Akman; Jajarmi, Amin; Yıldız, Burak; Baleanu, Dumitru
2020
Thermomechanical modeling of energy-reaction-diffusion systems, including bulk-interface interactions. Zbl 1262.35127
Mielke, Alexander
2013
Semigroup well-posedness in the energy space of a parabolic-hyperbolic coupled Stokes-Lamé PDE system of fluid-structure interaction. Zbl 1179.35010
Avalos, George; Triggiani, Roberto
2009
Birth of canard cycles. Zbl 1186.34080
Dumortier, Freddy; Roussarie, Robert
2009
A fractional model for the dynamics of tuberculosis infection using Caputo-Fabrizio derivative. Zbl 1439.92182
2020
Intertwining semiclassical solutions to a Schrödinger-Newton system. Zbl 1260.35198
Cingolani, Silvia; Clapp, Mónica; Secchi, Simone
2013
Increasing stability for the Schrödinger potential from the Dirichlet-to Neumann map. Zbl 1210.35289
Isakov, Victor
2011
Asymptotic analyses and error estimates for a Cahn-Hilliard type phase field system modelling tumor growth. Zbl 1360.35296
Colli, Pierluigi; Gilardi, Gianni; Rocca, Elisabetta; Sprekels, Jürgen
2017
The semilinear Klein-Gordon equation in de Sitter spacetime. Zbl 1194.35271
Yagdjian, Karen
2009
Geometric singular perturbation analysis of an autocatalator model. Zbl 1362.34076
Gucwa, Ilona; Szmolyan, Peter
2009
On a $$p$$-curl system arising in electromagnetism. Zbl 1252.35257
Miranda, Fernando; Rodrigues, José-Francisco; Santos, Lisa
2012
Dynamics of ratio-dependent predator-prey models with nonconstant harvesting. Zbl 1151.37062
Leard, Benjamin; Lewis, Catherine; Rebaza, Jorge
2008
The periodic patch model for population dynamics with fractional diffusion. Zbl 1207.35279
Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca
2011
Loss of smoothness and energy conserving rough weak solutions for the $$3d$$ Euler equations. Zbl 1191.76057
Bardos, Claude; Titi, E. S.
2010
Spectral notions of aperiodic order. Zbl 1373.37031
Baake, Michael; Lenz, Daniel
2017
Homoclinic orbits of the FitzHugh-Nagumo equation: the singular-limit. Zbl 1362.34075
Guckenheimer, John; Kuehn, Christian
2009
Improved Hardy-Poincaré inequalities and sharp Carleman estimates for degenerate/singular parabolic problems. Zbl 1213.93018
Vancostenoble, Judith
2011
Some mathematical models in phase transition. Zbl 1275.35048
Miranville, Alain
2014
Positive solutions of a third order nonlocal boundary value problem. Zbl 1153.34014
Graef, John R.; Yang, Bo
2008
Convergence of solutions of a non-local phase-field system. Zbl 1209.35022
Londen, Stig-Olof; Petzeltová, Hana
2011
Lectures on the Onsager conjecture. Zbl 1210.76086
Shvydkoy, Roman
2010
Nonlinear Rayleigh-Taylor instability for nonhomogeneous incompressible viscous magnetohydrodynamic flows. Zbl 1401.76067
Jiang, Fei; Jiang, Song; Wang, Weiwei
2016
On microscopic origins of generalized gradient structures. Zbl 06672848
Liero, Matthias; Mielke, Alexander; Peletier, Mark; Renger, D. R. Michiel
2017
A survey on Navier-Stokes models with delays: existence, uniqueness and asymptotic behavior of solutions. Zbl 1406.35221
Caraballo, Tomás; Han, Xiaoying
2015
Quasistatic damage evolution with spatial $$BV$$-regularization. Zbl 1375.74009
Thomas, Marita
2013
Geometric discretization of nonholonomic systems with symmetries. Zbl 1197.37071
Kobilarov, Marin; Marsden, Jerrold E.; Sukhatme, Gaurav S.
2010
Control of travelling walls in a ferromagnetic nanowire. Zbl 1310.82059
Carbou, Gilles; Labbé, Stéphane; Trélat, Emmanuel
2008
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
2020
Eventual local positivity for a biharmonic heat equation in $$\mathbb R^n$$. Zbl 1153.35304
Gazzola, Filippo; Grunau, Hans-Christoph
2008
A minicourse on the low Mach number limit. Zbl 1160.35060
Alazard, Thomas
2008
KAM iteration with nearly infinitely small steps in dynamical systems of polynomial character. Zbl 1221.37114
Rüssmann, Helmut
2010
Comparing the new fractional derivative operators involving exponential and Mittag-Leffler kernel. Zbl 1442.35532
Yavuz, Mehmet; Özdemir, Necati
2020
Regularity under general and $$p,q$$-growth conditions. Zbl 1439.35102
Marcellini, Paolo
2020
Generalized exchange lemmas and orbits heteroclinic to invariant manifolds. Zbl 1362.34094
Jones, Christopher K. R. T.; Tin, Siu-Kei
2009
A priori bounds for weak solutions to elliptic equations with nonstandard growth. Zbl 1261.35061
Winkert, Patrick; Zacher, Rico
2012
Global solutions for a nonlinear integral equation with a generalized heat kernel. Zbl 1288.45004
Ishige, Kazuhiro; Kawakami, Tatsuki; Kobayashi, Kanako
2014
On a class of sixth order viscous Cahn-Hilliard type equations. Zbl 1276.35100
Pawłow, Irena; Zajączkowski, Wojciech M.
2013
The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics. Zbl 1210.76039
Caffarelli, Luis A.; Vasseur, Alexis F.
2010
Bifurcation results for problems with fractional Trudinger-Moser nonlinearity. Zbl 1374.35185
Perera, Kanishka; Squassina, Marco
2018
Characterizations of uniform hyperbolicity and spectra of CMV matrices. Zbl 1366.37077
Yessen, William; Lukic, Milivoje; Fillman, Jake; Damanik, David
2016
Random interval diffeomorphisms. Zbl 1369.37051
Gharaei, Masoumeh; Homburg, Ale Jan
2017
Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity. Zbl 1442.35478
Mizukami, Masaaki
2020
Higher order energy decay rates for damped wave equations with variable coefficients. Zbl 1181.35024
Radu, Petronela; Todorova, Grozdena; Yordanov, Borislav
2009
A parametrised version of Moser’s modifying terms theorem. Zbl 1214.37023
Wagener, Florian
2010
Exponential decay for solutions to semilinear damped wave equation. Zbl 1246.35036
Gerbi, Stéphane; Said-Houari, Belkacem
2012
The instantaneous limit for reaction-diffusion systems with a fast irreversible reaction. Zbl 1259.35015
Bothe, Dieter; Pierre, Michel
2012
On a climate model with a dynamic nonlinear diffusive boundary condition. Zbl 1161.35039
Díaz, J. I.; Tello, L.
2008
A Cahn-Hilliard-Gurtin model with dynamic boundary conditions. Zbl 1277.35202
Goldstein, Gisèle Ruiz; Miranville, Alain
2013
Existence and uniqueness of time-periodic solutions to the Navier-Stokes equations in the whole plane. Zbl 1260.35110
Galdi, Giovanni P.
2013
Asymptotical dynamics of Selkov equations. Zbl 1161.37347
You, Yuncheng
2009
Reduction of almost Poisson brackets and Hamiltonization of the Chaplygin sphere. Zbl 1278.70009
García-Naranjo, Luis
2010
Heteroclinic connections for multidimensional bistable reaction-diffusion equations. Zbl 1207.35028
Hamel, François; Roquejoffre, Jean-Michel
2011
Anisotropic phase field equations of arbitrary order. Zbl 1227.35138
Caginalp, Gunduz; Esenturk, Emre
2011
Complete-damage evolution based on energies and stresses. Zbl 1209.74010
Mielke, Alexander
2011
New statistical symmetries of the multi-point equations and its importance for turbulent scaling laws. Zbl 1210.76085
Oberlack, Martin; Rosteck, Andreas
2010
Turing instability in a coupled predator-prey model with different Holling type functional responses. Zbl 1214.92072
Xie, Zhifu
2011
Global compactness results for nonlocal problems. Zbl 1386.35429
Brasco, Lorenzo; Squassina, Marco; Yang, Yang
2018
The isoperimetric problem for nonlocal perimeters. Zbl 1379.53013
Cesaroni, Annalisa; Novaga, Matteo
2018
Rigorous description of macroscopic wave packets in infinite periodic chains of coupled oscillators by modulation equations. Zbl 1248.35182
Chirilus-Bruckner, Martina; Chong, Christopher; Prill, Oskar; Schneider, Guido
2012
Approximate solutions to a model of two-component reactive flow. Zbl 1304.35501
Mucha, Piotr Bogusław; Pokorný, Milan; Zatorska, Ewelina
2014
Existence and stability results to a class of fractional random implicit differential equations involving a generalized Hilfer fractional derivative. Zbl 1442.34017
Jarad, Fahd; Harikrishnan, Sugumaran; Shah, Kamal; Kanagarajan, Kuppusamy
2020
Null controllability of degenerate parabolic equations in non divergence form via Carleman estimates. Zbl 1258.93025
Fragnelli, Genni
2013
A time reversal based algorithm for solving initial data inverse problems. Zbl 1209.35153
Ito, Kazufumi; Ramdani, Karim; Tucsnak, Marius
2011
On a new kind of convexity for solutions of parabolic problems. Zbl 1223.35188
Ishige, Kazuhiro; Salani, Paolo
2011
Modeling and optimal control of HIV/AIDS prevention through PrEP. Zbl 1375.34076
Torres, Delfim F. M.; Silva, Cristiana J.
2018
Local classical solutions of compressible Navier-Stokes-Smoluchowski equations with vacuum. Zbl 1356.35160
Huang, Bingyuan; Ding, Shijin; Wen, Huanyao
2016
Existence results of Hilfer integro-differential equations with fractional order. Zbl 1450.45006
Subashini, Ramasamy; Ravichandran, Chokkalingam; Jothimani, Kasthurisamy; Baskonus, Haci Mehmet
2020
$$L^r_{\mathrm{loc}}-L^\infty_{\mathrm{loc}}$$ estimates and expansion of positivity for a class of doubly non linear singular parabolic equations. Zbl 1284.35099
Fornaro, Simona; Sosio, Maria; Vespri, Vincenzo
2014
An asymptotic analysis for a nonstandard Cahn-Hilliard system with viscosity. Zbl 1277.35201
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2013
Thermal control of the Souza-Auricchio model for shape memory alloys. Zbl 1352.74095
Eleuteri, Michela; Lussardi, Luca; Stefanelli, Ulisse
2013
Properly-degenerate KAM theory (following V. I. Arnold). Zbl 1282.37033
Chierchia, Luigi; Pinzari, Gabriella
2010
Symmetries in an overdetermined problem for the Green’s function. Zbl 1210.35169
Agostiniani, Virginia; Magnanini, Rolando
2011
Optimal strategies for a time-dependent harvesting problem. Zbl 1405.35099
Coclite, Giuseppe Maria; Garavello, Mauro; Spinolo, Laura V.
2018
Numerical analysis and pattern formation process for space-fractional superdiffusive systems. Zbl 1418.65075
2019
Multi-scale multi-profile global solutions of parabolic equations in $$\mathbb{R}^N$$. Zbl 1250.35030
Cazenave, Thierry; Dickstein, Flávio; Weissler, Fred B.
2012
Support properties of solutions to nonlinear parabolic equations with variable density in the hyperbolic space. Zbl 1251.35040
Punzo, Fabio
2012
Hopf dances near the tips of Busse balloons. Zbl 1252.35032
Doelman, Arjen; Rademacher, Jens D. M.; van der Stelt, Sjors
2012
A relation between cross-diffusion and reaction-diffusion. Zbl 1255.35135
Murakawa, Hideki
2012
Multiple solutions for a Navier boundary value problem involving the $$p$$–biharmonic operator. Zbl 1258.35083
Candito, Pasquale; Molica Bisci, Giovanni
2012
Stability of the wave equation with localized Kelvin-Voigt damping and boundary delay feedback. Zbl 1346.35121
Nicaise, Serge; Pignotti, Cristina
2016
Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems. Zbl 1302.65127
Henning, Patrick; Ohlberger, Mario
2015
On Maxwell’s and Poincaré’s constants. Zbl 1321.35226
Pauly, Dirk
2015
Global existence of weak solutions to the three-dimensional Prandtl equations with a special structure. Zbl 1353.35215
Liu, Cheng-Jie; Wang, Ya-Guang; Yang, Tong
2016
Nonstationary Stokes system with variable viscosity in bounded and unbounded domains. Zbl 1191.76038
Abels, Helmut
2010
Hardy-Littlewood-Sobolev systems and related Liouville theorems. Zbl 1284.35116
D’Ambrosio, Lorenzo; Mitidieri, Enzo
2014
Link theorem and distributions of solutions to uncertain Liouville-Caputo difference equations. Zbl 07495842
Srivastava, Hari Mohan; Mohammed, Pshtiwan Othman; Guirao, Juan L. G.; Hamed, Y. S.
2022
Solving the linear transport equation by a deep neural network approach. Zbl 1484.65213
Chen, Zheng; Liu, Liu; Mu, Lin
2022
Fractional Laplacians : a short survey. Zbl 07539660
Daoud, Maha; Laamri, El Haj
2022
Boundary stabilization of the linear MGT equation with partially absorbing boundary data and degenerate viscoelasticity. Zbl 1491.35287
Bongarti, Marcelo; Lasiecka, Irena; Rodrigues, José H.
2022
More new results on integral inequalities for generalized $$\mathcal{K}$$-fractional conformable integral operators. Zbl 1475.26015
2021
Weighted pseudo almost periodicity of multi-proportional delayed shunting inhibitory cellular neural networks with D operator. Zbl 1475.92016
Huang, Chuangxia; Yang, Hedi; Cao, Jinde
2021
Observability of switched Boolean control networks using algebraic forms. Zbl 1478.93077
Yang, Yvjing; Liu, Yang; Lou, Jungang; Wang, Zhen
2021
Viscoelasticity with limiting strain. Zbl 1454.74026
Şengül, Yasemin
2021
Applying quantum calculus for the existence of solution of $$q$$-integro-differential equations with three criteria. Zbl 1469.34103
2021
Effective diffusion in thin structures via generalized gradient systems and EDP-convergence. Zbl 1458.35039
Frenzel, Thomas; Liero, Matthias
2021
Uniform-in-time bounds for quadratic reaction-diffusion systems with mass dissipation in higher dimensions. Zbl 1459.35236
Fellner, Klemens; Morgan, Jeff; Tang, Bao Quoc
2021
An efficient numerical method for fractional model of allelopathic stimulatory phytoplankton species with Mittag-Leffler law. Zbl 07396816
Ghanbari, Behzad; Kumar, Devendra; Singh, Jagdev
2021
Some new bounds analogous to generalized proportional fractional integral operator with respect to another function. Zbl 1469.26023
Rashid, Saima; Jarad, Fahd; Hammouch, Zakia
2021
Mathematical analysis of weak and strong solutions to an evolutionary model for magnetoviscoelasticity. Zbl 1455.35195
Kalousek, Martin; Kortum, Joshua; Schlömerkemper, Anja
2021
Numerical analysis of an ODE and a level set methods for evolving spirals by crystalline eikonal-curvature flow. Zbl 1467.65068
Ishiwata, Tetsuya; Ohtsuka, Takeshi
2021
Computational and numerical simulations for the deoxyribonucleic acid (DNA) model. Zbl 1471.92238
Attia, Raghda A. M.; Baleanu, Dumitru; Lu, Dianchen; Khater, Mostafa M. A.; Ahmed, El-Sayed
2021
Solving a class of biological HIV infection model of latently infected cells using heuristic approach. Zbl 1471.92309
Guerrero-Sánchez, Yolanda; Umar, Muhammad; Sabir, Zulqurnain; Guirao, Juan L. G.; Raja, Muhammad Asif Zahoor
2021
Pata type contractions involving rational expressions with an application to integral equations. Zbl 1469.54128
Karapınar, Erdal; Atangana, Abdon; Fulga, Andreea
2021
Solutions to Chern-Simons-Schrödinger systems with external potential. Zbl 1480.35166
Li, Lingyu; Yang, Jianfu; Yang, Jinge
2021
A survey on asymptotic stability of ground states of nonlinear Schrödinger equations. II. Zbl 1475.35313
Cuccagna, Scipio; Maeda, Masaya
2021
Deep quench approximation and optimal control of general Cahn-Hilliard systems with fractional operators and double obstacle potentials. Zbl 1458.35244
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2021
Contraction and regularizing properties of heat flows in metric measure spaces. Zbl 1459.49030
Luise, Giulia; Savaré, Giuseppe
2021
Stochastic homogenization of $$\Lambda$$-convex gradient flows. Zbl 1458.49013
Heida, Martin; Neukamm, Stefan; Varga, Mario
2021
An application of interpolation inequalities between the deviation of curvature and the isoperimetric ratio to the length-preserving flow. Zbl 1466.53005
Nakamura, Kohei
2021
On the fuzzy stability results for fractional stochastic Volterra integral equation. Zbl 1484.60072
Chaharpashlou, Reza; Atangana, Abdon; Saadati, Reza
2021
Asymptotic behaviors of solution to partial differential equation with Caputo-Hadamard derivative and fractional Laplacian: hyperbolic case. Zbl 1477.35030
Li, Changpin; Li, Zhiqiang
2021
Numerical simulation of the nonlinear fractional regularized long-wave model arising in ion acoustic plasma waves. Zbl 1480.76164
Nikan, Omid; Molavi-Arabshai, Seyedeh Mahboubeh; Jafari, Hossein
2021
Solving fractional advection-diffusion equation using Genocchi operational matrix based on Atangana-Baleanu derivative. Zbl 1473.35635
Sadeghi, S.; Jafari, H.; Nemati, S.
2021
On the observability of conformable linear time-invariant control systems. Zbl 1471.93042
Younus, Awais; Dastgeer, Zoubia; Ishaq, Nudrat; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Kumar, Devendra
2021
Bound states for fractional Schrödinger-Poisson system with critical exponent. Zbl 1480.35198
Chen, Mengyao; Li, Qi; Peng, Shuangjie
2021
Numerical investigation of space fractional order diffusion equation by the Chebyshev collocation method of the fourth kind and compact finite difference scheme. Zbl 1475.65062
Aghdam, Yones Esmaeelzade; Safdari, Hamid; Azari, Yaqub; Jafari, Hossein; Baleanu, Dumitru
2021
A new application of the reproducing kernel method. Zbl 07440399
Akgül, Ali
2021
A fuzzy inventory model for Weibull deteriorating items under completely backlogged shortages. Zbl 1480.90025
Nayak, Deepak Kumar; Routray, Sudhansu Sekhar; Paikray, Susanta Kumar; Dutta, Hemen
2021
Fractional Adams-Bashforth scheme with the Liouville-Caputo derivative and application to chaotic systems. Zbl 1475.65076
Owolabi, Kolade M.; Atangana, Abdon; Gómez-Aguilar, Jose Francisco
2021
Existence and uniqueness results for a smoking model with determination and education in the frame of non-singular derivatives. Zbl 1475.92091
Uçar, Sümeyra
2021
Novel comparison of numerical and analytical methods for fractional Burger-Fisher equation. Zbl 07440431
Yokus, Asif; Yavuz, Mehmet
2021
The algorithmic numbers in non-Archimedean numerical computing environments. Zbl 07439617
Benci, Vieri; Cococcioni, Marco
2021
Causal fermion systems and the ETH approach to quantum theory. Zbl 1475.83003
Finster, Felix; Fröhlich, Jürg; Oppio, Marco; Paganini, Claudio F.
2021
Compactness results for linearly perturbed Yamabe problem on manifolds with boundary. Zbl 1480.35241
Ghimenti, Marco; Micheletti, Anna Maria
2021
Anisotropic singular double Phase Dirichlet problems. Zbl 1482.35101
Papageorgiou, Nikolaos S.; Rǎdulescu, Vicenţiu D.; Zhang, Youpei
2021
Characterisation of the pressure term in the incompressible Navier-Stokes equations on the whole space. Zbl 1476.35171
Fernández-Dalgo, Pedro Gabriel; Lemarié-Rieusset, Pierre Gilles
2021
Cahn-Hilliard equation with capillarity in actual deforming configurations. Zbl 1454.35378
Roubíček, Tomáš
2021
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads. Zbl 1458.35439
Knees, Dorothee; Zanini, Chiara
2021
Global Hopf bifurcation in networks with fast feedback cycles. Zbl 1454.34060
Fiedler, Bernold
2021
Orthogonality of fluxes in general nonlinear reaction networks. Zbl 1454.82031
Renger, D. R. Michiel; Zimmer, Johannes
2021
Numerical approximation of von Kármán viscoelastic plates. Zbl 1455.74020
Friedrich, Manuel; Kružík, Martin; Valdman, Jan
2021
Threshold phenomenon for homogenized fronts in random elastic media. Zbl 1458.35038
Dondl, Patrick W.; Jesenko, Martin
2021
The fast-sorption and fast-surface-reaction limit of a heterogeneous catalysis model. Zbl 1459.35243
Augner, Björn; Bothe, Dieter
2021
Variational solutions to an evolution model for MEMS with heterogeneous dielectric properties. Zbl 1458.35241
Laurençot, Philippe; Walker, Christoph
2021
A semilinear heat equation with initial data in negative Sobolev spaces. Zbl 1458.35229
Umakoshi, Haruki
2021
Computational study of immersed boundary-lattice Boltzmann method for fluid-structure interaction. Zbl 1462.76137
Eichler, Pavel; Fučík, Radek; Straka, Robert
2021
Flux balanced approximation with least-squares gradient for diffusion equation on polyhedral mesh. Zbl 1465.65116
Frolkovič, Peter; Mikula, Karol; Hahn, Jooyoung; Martin, Dirk; Basara, Branislav
2021
A method how to determine parameters arising in a smoldering evolution equation by image segmentation for experiment’s movies. Zbl 1462.35459
Goto, Maika; Kuwana, Kazunori; Uegata, Yasuhide; Yazaki, Shigetoshi
2021
Spatio-temporal coexistence in the cross-diffusion competition system. Zbl 1468.37065
Izuhara, Hirofumi; Kobayashi, Shunsuke
2021
Two notes on the O’Hara energies. Zbl 1470.57015
Kawakami, Shoya
2021
Semi-automatic segmentation of NATURA 2000 habitats in sentinel-2 satellite images by evolving open curves. Zbl 1468.35215
Mikula, Karol; Urbán, Jozef; Kollár, Michal; Ambroz, Martin; Jarolímek, Ivan; Šibík, Jozef; Šibíková, Mária
2021
Fast reaction limit of reaction-diffusion systems. Zbl 1462.35035
Murakawa, Hideki
2021
Theoretical and numerical studies for energy estimates of the shallow water equations with a transmission boundary condition. Zbl 1462.65110
Murshed, Md. Masum; Futai, Kouta; Kimura, Masato; Notsu, Hirofumi
2021
Segmentation of color images using mean curvature flow and parametric curves. Zbl 1477.68519
Pauš, Petr; Yazaki, Shigetoshi
2021
On solutions of fractal fractional differential equations. Zbl 1481.34009
Atangana, Abdon; Akgül, Ali
2021
On a nonlocal problem involving the fractional $$p(x,.)$$-Laplacian satisfying Cerami condition. Zbl 1473.35621
Azroul, Elhoussine; Benkirane, Abdelmoujib; Shimi, Mohammed
2021
Oscillatory states and patterns formation in a two-cell cubic autocatalytic reaction-diffusion model subjected to the Dirichlet conditions. Zbl 1469.35119
2021
Fractional and fractal advection-dispersion model. Zbl 1484.35372
Allwright, Amy; Atangana, Abdon; Mekkaoui, Toufik
2021
An analysis of tuberculosis model with exponential decay law operator. Zbl 1485.92116
Bonyah, Ebenezer; Fatmawati
2021
Mathematical model of diabetes and its complication involving fractional operator without singular kernal. Zbl 1485.92034
Dubey, Ravi Shanker; Goswami, Pranay
2021
System response of an alcoholism model under the effect of immigration via non-singular kernel derivative. Zbl 1485.92127
Evirgen, Fırat; Uçar, Sümeyra; Özdemir, Necati; Hammouch, Zakia
2021
Dynamical behaviors and oblique resonant nonlinear waves with dual-power law nonlinearity and conformable temporal evolution. Zbl 1479.35196
Hafez, Md. Golam; Iqbal, Sayed Allamah; Asaduzzaman; Hammouch, Zakia
2021
A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation. Zbl 1484.42032
Hosseininia, Masoumeh; Heydari, Mohammad Hossein; Cattani, Carlo
2021
New class of Volterra integro-differential equations with fractal-fractional operators: existence, uniqueness and numerical scheme. Zbl 07440414
Araz, Seda İğret
2021
Abundant novel solutions of the conformable Lakshmanan-Porsezian-Daniel model. Zbl 1475.35329
Ismael, Hajar Farhan; Baskonus, Haci Mehmet; Bulut, Hasan
2021
Lyapunov type inequality in the frame of generalized Caputo derivatives. Zbl 07440416
2021
A Sturm-Liouville approach for continuous and discrete Mittag-Leffler kernel fractional operators. Zbl 1491.34018
Mert, Raziye; Abdeljawad, Thabet; Peterson, Allan
2021
Input-to-state stability and no-inputs stabilization of delayed feedback chaotic financial system involved in open and closed economy. Zbl 1479.91382
Rao, Ruofeng; Zhong, Shouming
2021
Event-triggered adaptive fault-tolerant control for multi-agent systems with unknown disturbances. Zbl 1478.93416
Ren, Hongru; Li, Shubo; Lu, Changxin
2021
Traffic congestion pricing via network congestion game approach. Zbl 1479.91029
Zhang, Jing; Lu, Jianquan; Cao, Jinde; Huang, Wei; Guo, Jianhua; Wei, Yun
2021
Fault-tolerant anti-synchronization control for chaotic switched neural networks with time delay and reaction diffusion. Zbl 1478.93142
Zhou, Jianping; Liu, Yamin; Park, Ju H.; Kong, Qingkai; Wang, Zhen
2021
Concentration phenomena for the Schrödinger-Poisson system in $$\mathbb{R}^2$$. Zbl 1480.35153
Bonheure, Denis; Cingolani, Silvia; Secchi, Simone
2021
Local smooth solutions of the nonlinear Klein-Gordon equation. Zbl 1479.35570
Cazenave, Thierry; Naumkin, Ivan
2021
Sign-changing solutions for a parameter-dependent quasilinear equation. Zbl 1480.35222
Liu, Jiaquan; Liu, Xiangqing; Wang, Zhi-Qiang
2021
Discrete approximation of dynamic phase-field fracture in visco-elastic materials. Zbl 1481.74054
Thomas, Marita; Tornquist, Sven
2021
Dimension reduction of thermistor models for large-area organic light-emitting diodes. Zbl 1481.35239
Glitzky, Annegret; Liero, Matthias; Nika, Grigor
2021
Cahn-Hilliard-Brinkman systems for tumour growth. Zbl 1480.35411
Ebenbeck, Matthias; Garcke, Harald; Nürnberg, Robert
2021
From quasi-incompressible to semi-compressible fluids. Zbl 07451488
Roubíček, Tomáš
2021
Orbital stability of periodic peakons for the generalized modified Camassa-Holm equation. Zbl 1480.35092
Moon, Byungsoo
2021
Blow-up for the wave equation with hyperbolic dynamical boundary conditions, interior and boundary nonlinear damping and sources. Zbl 1480.35065
Vitillaro, Enzo
2021
Single point blow-up and final profile for a perturbed nonlinear heat equation with a gradient and a non-local term. Zbl 1479.35136
Abdelhedi, Bouthaina; Zaag, Hatem
2021
Stability and bifurcation analysis in a delay-induced predator-prey model with Michaelis-Menten type predator harvesting. Zbl 1480.92173
Liu, Ming; Hu, Dongpo; Meng, Fanwei
2021
$$W^{2, p}$$-regularity for asymptotically regular fully nonlinear elliptic and parabolic equations with oblique boundary values. Zbl 1486.35103
Zhang, Junjie; Zheng, Shenzhou; Zuo, Chunyan
2021
Generalized fractional derivatives and Laplace transform. Zbl 1444.44002
2020
New aspects of time fractional optimal control problems within operators with nonsingular kernel. Zbl 1439.49010
Yıldız, Tuğba Akman; Jajarmi, Amin; Yıldız, Burak; Baleanu, Dumitru
2020
A fractional model for the dynamics of tuberculosis infection using Caputo-Fabrizio derivative. Zbl 1439.92182
2020
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
2020
Comparing the new fractional derivative operators involving exponential and Mittag-Leffler kernel. Zbl 1442.35532
Yavuz, Mehmet; Özdemir, Necati
2020
Regularity under general and $$p,q$$-growth conditions. Zbl 1439.35102
Marcellini, Paolo
2020
Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity. Zbl 1442.35478
Mizukami, Masaaki
2020
Existence and stability results to a class of fractional random implicit differential equations involving a generalized Hilfer fractional derivative. Zbl 1442.34017
Jarad, Fahd; Harikrishnan, Sugumaran; Shah, Kamal; Kanagarajan, Kuppusamy
2020
Existence results of Hilfer integro-differential equations with fractional order. Zbl 1450.45006
Subashini, Ramasamy; Ravichandran, Chokkalingam; Jothimani, Kasthurisamy; Baskonus, Haci Mehmet
2020
Green function’s properties and existence theorems for nonlinear singular-delay-fractional differential equations. Zbl 1457.34116
Khan, Hasib; Tunc, Cemil; Khan, Aziz
2020
Infinite time blow-up of many solutions to a general quasilinear parabolic-elliptic Keller-Segel system. Zbl 1439.92042
Lankeit, Johannes
2020
Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity. Zbl 1439.35486
Black, Tobias
2020
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### Cited by 5,857 Authors

 33 Papageorgiou, Nikolaos S. 31 Abdeljawad, Thabet 29 Colli, Pierluigi 27 Miranville, Alain M. 25 Lasiecka, Irena 22 Stefanelli, Ulisse 21 Mielke, Alexander 20 Rădulescu, Vicenţiu D. 19 Kühn, Christian 19 Rossi, Riccarda 19 Roubíček, Tomáš 19 Sprekels, Jürgen 17 Caraballo Garrido, Tomás 17 Cavalcanti, Marcelo Moreira 17 Gilardi, Gianni 17 Ishige, Kazuhiro 17 Jarad, Fahd 17 Kaltenbacher, Barbara 16 Rocca, Elisabetta 15 Băleanu, Dumitru I. 15 Kukavica, Igor 15 Triggiani, Roberto 15 Winkert, Patrick 15 Zhang, Binlin 14 Elaiw, Ahmed M. 14 Feng, Baowei 13 Bonetti, Elena 13 Coclite, Giuseppe Maria 13 Gazzola, Filippo 13 Ma, Wen-Xiu 13 Messaoudi, Salim A. 13 Nikolić, Vanja 13 Rezapour, Shahram 13 Torres, Delfim Fernando Marado 13 Valero, José 13 Vazquez, Juan Luis 13 Vetro, Calogero 12 Abdo, Mohammed Salem 12 Azroul, Elhoussine 12 Domingos Cavalcanti, Valéria Neves 12 Gal, Ciprian Gheorghe Sorin 12 Mustafa, Muhammad Islam 12 Repovš, Dušan D. 12 Signori, Andrea 12 Toundykov, Daniel 12 Wang, Weiwei 11 Akgül, Ali 11 Pucci, Patrizia 11 Rammaha, Mohammad A. 11 Rashid, Saima 11 Sreenadh, Konijeti 11 Temam, Roger Meyer 11 Thomas, Marita 11 Xiang, Mingqi 11 Yagdjian, Karen 11 You, Yuncheng 10 Avalos, George 10 Chueshov, Igor’ Dmitrievich 10 Di Ruvo, Lorenzo 10 Dolbeault, Jean 10 Giga, Yoshikazu 10 Grasselli, Maurizio 10 Huzak, Renato 10 Jiang, Fei 10 Liero, Matthias 10 Liu, Wenjun 10 Nečasová, Šárka 10 Novaga, Matteo 10 Praetorius, Dirk 10 Samei, Mohammad Esmael 10 Shah, Kamal 10 Shirakawa, Ken 10 Vetro, Francesca 10 Vicol, Vlad C. 10 Zhou, Zhan 9 Aramaki, Junichi 9 Bartels, Sören 9 Benkirane, Abdelmoujib 9 De Maesschalck, Peter 9 Doelman, Arjen 9 Fëdorov, Vladimir Evgen’evich 9 Fragnelli, Genni 9 Garavello, Mauro 9 Giacomoni, Jacques 9 Isakov, Victor M. 9 Jüngel, Ansgar 9 Kafini, Mohammad Mustafa 9 Kawakami, Tatsuki 9 Li, Yangrong 9 Oberlack, Martin 9 Pauly, Dirk 9 Porzio, Maria Michaela 9 Shimi, Mohammed 9 Shkoller, Steve 9 Tachim Medjo, Theodore 9 Wechselberger, Martin 9 Zatorska, Ewelina 8 Bonfanti, Giovanna 8 Broer, Henk W. 8 Creo, Simone ...and 5,757 more Authors
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### Cited in 490 Journals

 184 Journal of Differential Equations 172 Journal of Mathematical Analysis and Applications 145 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 128 Discrete and Continuous Dynamical Systems. Series S 93 Discrete and Continuous Dynamical Systems 80 Advances in Difference Equations 76 Chaos, Solitons and Fractals 73 SIAM Journal on Mathematical Analysis 68 Communications on Pure and Applied Analysis 66 Discrete and Continuous Dynamical Systems. Series B 65 Nonlinear Analysis. Real World Applications 62 Applicable Analysis 61 ZAMP. Zeitschrift für angewandte Mathematik und Physik 61 AIMS Mathematics 57 Journal of Mathematical Physics 53 Archive for Rational Mechanics and Analysis 53 Calculus of Variations and Partial Differential Equations 48 Journal of Evolution Equations 43 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 42 Nonlinearity 41 Applied Mathematics and Optimization 40 Boundary Value Problems 39 Computers & Mathematics with Applications 39 Applied Mathematics Letters 39 Journal of Dynamics and Differential Equations 38 Applied Mathematics and Computation 37 Evolution Equations and Control Theory 36 Mathematical Methods in the Applied Sciences 35 Journal de Mathématiques Pures et Appliquées. Neuvième Série 35 Journal of Nonlinear Science 35 NoDEA. Nonlinear Differential Equations and Applications 33 Journal of Computational Physics 33 Physica D 30 Communications in Mathematical Physics 29 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 29 Journal of Mathematical Fluid Mechanics 28 Acta Applicandae Mathematicae 28 Advances in Nonlinear Analysis 28 Journal of Function Spaces 27 Mediterranean Journal of Mathematics 25 Annali di Matematica Pura ed Applicata. Serie Quarta 25 Regular and Chaotic Dynamics 24 Journal of Computational and Applied Mathematics 24 Journal of Functional Analysis 24 SIAM Journal on Applied Dynamical Systems 23 Fractals 23 Communications in Nonlinear Science and Numerical Simulation 21 Transactions of the American Mathematical Society 20 Acta Mathematica Scientia. Series B. (English Edition) 20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 19 Computer Methods in Applied Mechanics and Engineering 19 Numerische Mathematik 19 Proceedings of the American Mathematical Society 19 Qualitative Theory of Dynamical Systems 19 International Journal of Applied and Computational Mathematics 19 Journal of Elliptic and Parabolic Equations 18 Communications in Partial Differential Equations 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 18 Journal of Inequalities and Applications 18 Complex Variables and Elliptic Equations 18 Networks and Heterogeneous Media 18 Advances in Mathematical Physics 17 Physica A 17 Mathematics and Computers in Simulation 17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Asymptotic Analysis 16 The Journal of Geometric Analysis 16 Mathematical Biosciences and Engineering 15 SIAM Journal on Applied Mathematics 15 Journal of Mathematical Sciences (New York) 15 Electronic Journal of Differential Equations (EJDE) 15 Advanced Nonlinear Studies 14 Advances in Mathematics 14 SIAM Journal on Control and Optimization 14 Computational and Applied Mathematics 14 Mathematical Problems in Engineering 14 Comptes Rendus. Mathématique. Académie des Sciences, Paris 14 Mathematical Control and Related Fields 14 Electronic Research Archive 13 Quarterly of Applied Mathematics 13 SIAM Journal on Numerical Analysis 13 Journal of Scientific Computing 13 Topological Methods in Nonlinear Analysis 13 Journal of Applied Analysis and Computation 12 Mathematische Annalen 12 Abstract and Applied Analysis 12 Journal of Fixed Point Theory and Applications 12 International Journal of Biomathematics 12 SN Partial Differential Equations and Applications 11 Journal of Fluid Mechanics 11 Journal of Mathematical Biology 11 Automatica 11 Monatshefte für Mathematik 11 Journal of Elasticity 11 Nonlinear Dynamics 11 Taiwanese Journal of Mathematics 11 Communications in Contemporary Mathematics 11 Multiscale Modeling & Simulation 11 Mathematics in Engineering 10 Physics Letters. A ...and 390 more Journals
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### Cited in 60 Fields

 2,907 Partial differential equations (35-XX) 645 Fluid mechanics (76-XX) 631 Ordinary differential equations (34-XX) 522 Dynamical systems and ergodic theory (37-XX) 457 Numerical analysis (65-XX) 435 Mechanics of deformable solids (74-XX) 427 Biology and other natural sciences (92-XX) 369 Operator theory (47-XX) 325 Calculus of variations and optimal control; optimization (49-XX) 251 Systems theory; control (93-XX) 238 Real functions (26-XX) 189 Mechanics of particles and systems (70-XX) 157 Statistical mechanics, structure of matter (82-XX) 114 Probability theory and stochastic processes (60-XX) 108 Global analysis, analysis on manifolds (58-XX) 105 Classical thermodynamics, heat transfer (80-XX) 104 Optics, electromagnetic theory (78-XX) 101 Functional analysis (46-XX) 93 Integral equations (45-XX) 79 Difference and functional equations (39-XX) 79 Operations research, mathematical programming (90-XX) 76 Differential geometry (53-XX) 50 Quantum theory (81-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Measure and integration (28-XX) 45 Geophysics (86-XX) 33 Computer science (68-XX) 29 Information and communication theory, circuits (94-XX) 28 Harmonic analysis on Euclidean spaces (42-XX) 22 Convex and discrete geometry (52-XX) 21 Combinatorics (05-XX) 20 Potential theory (31-XX) 19 Special functions (33-XX) 16 Number theory (11-XX) 16 Integral transforms, operational calculus (44-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Functions of a complex variable (30-XX) 13 Approximations and expansions (41-XX) 13 General topology (54-XX) 13 Relativity and gravitational theory (83-XX) 10 Topological groups, Lie groups (22-XX) 10 Abstract harmonic analysis (43-XX) 9 History and biography (01-XX) 9 Nonassociative rings and algebras (17-XX) 8 Mathematical logic and foundations (03-XX) 8 Manifolds and cell complexes (57-XX) 6 General and overarching topics; collections (00-XX) 5 Algebraic topology (55-XX) 5 Statistics (62-XX) 4 Algebraic geometry (14-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Astronomy and astrophysics (85-XX) 3 Group theory and generalizations (20-XX) 2 Field theory and polynomials (12-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Geometry (51-XX)