Journal of Difference Equations and Applications Short Title: J. Difference Equ. Appl. Publisher: Taylor & Francis, Abingdon, Oxfordshire; International Society of Difference Equations (ISDE) ISSN: 1023-6198; 1563-5120/e Online: http://www.tandfonline.com/loi/gdea20 Comments: Journal; Indexed cover-to-cover Documents Indexed: 2,429 Publications (since 1995) References Indexed: 2,217 Publications with 44,100 References. all top 5 Latest Issues 30, No. 8 (2024) 30, No. 7 (2024) 30, No. 6 (2024) 30, No. 5 (2024) 30, No. 4 (2024) 30, No. 3 (2024) 30, No. 2 (2024) 30, No. 1 (2024) 29, No. 9-12 (2023) 29, No. 8 (2023) 29, No. 7 (2023) 29, No. 6 (2023) 29, No. 5 (2023) 29, No. 4 (2023) 29, No. 3 (2023) 29, No. 2 (2023) 29, No. 1 (2023) 28, No. 11-12 (2022) 28, No. 10 (2022) 28, No. 9 (2022) 28, No. 8 (2022) 28, No. 7 (2022) 28, No. 6 (2022) 28, No. 5 (2022) 28, No. 4 (2022) 28, No. 3 (2022) 28, No. 2 (2022) 28, No. 1 (2022) 27, No. 12 (2021) 27, No. 11 (2021) 27, No. 10 (2021) 27, No. 9 (2021) 27, No. 8 (2021) 27, No. 7 (2021) 27, No. 6 (2021) 27, No. 5 (2021) 27, No. 4 (2021) 27, No. 3 (2021) 27, No. 2 (2021) 27, No. 1 (2021) 26, No. 11-12 (2020) 26, No. 9-10 (2020) 26, No. 8 (2020) 26, No. 7 (2020) 26, No. 6 (2020) 26, No. 5 (2020) 26, No. 4 (2020) 26, No. 3 (2020) 26, No. 2 (2020) 26, No. 1 (2020) 25, No. 12 (2019) 25, No. 11 (2019) 25, No. 9-10 (2019) 25, No. 8 (2019) 25, No. 7 (2019) 25, No. 6 (2019) 25, No. 5 (2019) 25, No. 4 (2019) 25, No. 3 (2019) 25, No. 2 (2019) 25, No. 1 (2019) 24, No. 12 (2018) 24, No. 11 (2018) 24, No. 10 (2018) 24, No. 9 (2018) 24, No. 8 (2018) 24, No. 7 (2018) 24, No. 6 (2018) 24, No. 5 (2018) 24, No. 4 (2018) 24, No. 3 (2018) 24, No. 2 (2018) 24, No. 1 (2018) 23, No. 12 (2017) 23, No. 11 (2017) 23, No. 10 (2017) 23, No. 9 (2017) 23, No. 8 (2017) 23, No. 7 (2017) 23, No. 6 (2017) 23, No. 5 (2017) 23, No. 4 (2017) 23, No. 3 (2017) 23, No. 1-2 (2017) 22, No. 12 (2016) 22, No. 11 (2016) 22, No. 10 (2016) 22, No. 9 (2016) 22, No. 8 (2016) 22, No. 7 (2016) 22, No. 6 (2016) 22, No. 5 (2016) 22, No. 4 (2016) 22, No. 3 (2016) 22, No. 2 (2016) 22, No. 1 (2016) 21, No. 12 (2015) 21, No. 11 (2015) 21, No. 10 (2015) 21, No. 9 (2015) ...and 189 more Volumes all top 5 Authors 57 Ladas, Gerasimos E. 34 Mickens, Ronald Elbert 30 Elaydi, Saber Nasr 29 Henderson, Johnny Lee 27 Camouzis, Elias 27 Sedaghat, Hassan 24 Stević, Stevo 21 Mansour, Toufik 21 Peterson, Allan C. 21 Zeilberger, Doron 20 Kulenović, Mustafa R. S. 18 Erbe, Lynn Harry 18 Sacker, Robert J. 16 Bohner, Martin J. 15 Cheng, Sui Sun 14 Braverman, Elena 14 Cushing, Jim M. 14 Goodrich, Christopher S. 14 Marcellán Español, Francisco 14 Pinto, Alberto Adrego 14 Roeger, Lih-Ing Wu 13 Agarwal, Ravi P. 13 Graef, John R. 13 Huang, Ying Sue 13 Jang, Sophia R.-J. 13 Kloeden, Peter Eris 13 Knopf, Peter M. 13 Kocic, Vlajko Lj. 13 Llibre, Jaume 13 Yakubu, Abdul-Aziz 12 Anderson, Douglas Robert 12 Gardini, Laura 12 Guo, Victor J. W. 12 Kent, Candace M. 12 Zhang, Weinian 11 Raffoul, Youssef Naim 11 Rodriguez, Jesus 11 Shattuck, Mark A. 10 Ackleh, Azmy S. 10 Berenhaut, Kenneth S. 10 Gasull, Armengol 10 Grove, Edward Andrew 10 Henson, Shandelle Marie 10 Linero Bas, Antonio 10 Luís, Rafael 10 Macías-Díaz, Jorge Eduardo 10 Medina, Rigoberto 10 Patidar, Kailash C. 10 Pinto, Manuel 10 Shi, Yuming 10 Šimon Hilscher, Roman 9 Berg, Lothar 9 Chow, Yunshyong 9 Galewski, Marek 9 Gyori, Istvan 9 Mazrooei-Sebdani, Reza 9 Merino, Orlando 9 O’Regan, Donal 9 Papaschinopoulos, Garyfalos 9 Rodkina, Alexandra 9 Tang, Xianhua 9 Tanny, Stephen M. 8 Abu-Saris, Raghib M. 8 Balibrea, Francisco 8 Cuevas, Claudio 8 Devault, Richard 8 Ding, Xiaohua 8 Došlý, Ondřej 8 Luca, Rodica 8 Lutz, Donald A. 8 Naimzada, Ahmad K. 8 Purnaras, Ioannis K. 8 Schinas, Christos J. 8 Siegmund, Stefan 8 Tisdell, Christopher C. 7 Allen, Linda J. S. 7 Bernhardt, Chris 7 Cima, Anna 7 Filipuk, Galina V. 7 Foupouagnigni, Mama 7 Franke, John E. 7 Gao, Wei 7 García Guirao, Juan Luis 7 Heidarkhani, Shapour 7 Karakostas, George L. 7 Li, Lin 7 Mañosa, Víctor 7 Merdivenci Atici, Ferhan 7 Nishimura, Kazuo 7 Pötzsche, Christian 7 Sirvent, Víctor F. 7 Thomas, Edward S. jun. 7 Tian, Yu 7 Voulov, Hristo Dimitrov 6 Amleh, A. M. 6 Aulbach, Bernd 6 Blokh, Alexander M. 6 Cabada, Alberto 6 Chatzarakis, George E. 6 Chu, Wenchang ...and 2,466 more Authors all top 5 Fields 1,428 Difference and functional equations (39-XX) 645 Dynamical systems and ergodic theory (37-XX) 343 Ordinary differential equations (34-XX) 296 Biology and other natural sciences (92-XX) 279 Numerical analysis (65-XX) 171 Special functions (33-XX) 135 Partial differential equations (35-XX) 131 Combinatorics (05-XX) 129 Number theory (11-XX) 114 Operator theory (47-XX) 101 Real functions (26-XX) 99 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 92 Systems theory; control (93-XX) 77 Probability theory and stochastic processes (60-XX) 61 General topology (54-XX) 56 Functions of a complex variable (30-XX) 51 Harmonic analysis on Euclidean spaces (42-XX) 32 General and overarching topics; collections (00-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 21 Computer science (68-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 20 Mechanics of particles and systems (70-XX) 20 Operations research, mathematical programming (90-XX) 18 Global analysis, analysis on manifolds (58-XX) 18 Information and communication theory, circuits (94-XX) 17 Sequences, series, summability (40-XX) 15 Measure and integration (28-XX) 13 Integral equations (45-XX) 13 Functional analysis (46-XX) 12 History and biography (01-XX) 11 Field theory and polynomials (12-XX) 10 Approximations and expansions (41-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Differential geometry (53-XX) 9 Statistics (62-XX) 8 Several complex variables and analytic spaces (32-XX) 8 Abstract harmonic analysis (43-XX) 8 Integral transforms, operational calculus (44-XX) 7 Manifolds and cell complexes (57-XX) 7 Mechanics of deformable solids (74-XX) 7 Fluid mechanics (76-XX) 7 Quantum theory (81-XX) 5 Potential theory (31-XX) 5 Convex and discrete geometry (52-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Algebraic topology (55-XX) 4 Optics, electromagnetic theory (78-XX) 3 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Topological groups, Lie groups (22-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,985 Publications have been cited 17,125 times in 9,852 Documents Cited by ▼ Year ▼ Two-point boundary value problems for finite fractional difference equations. Zbl 1215.39002 Atıcı, Ferhan M.; Eloe, Paul W. 147 2011 Planar competitive and cooperative difference equations. Zbl 0907.39004 Smith, H. L. 129 1998 Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations. Zbl 1073.65552 Mickens, Ronald E. 112 2005 Nonstandard finite difference schemes for differential equations. Zbl 1010.65032 Mickens, Ronald E. 106 2002 The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032 Allen, Linda J. S.; van den Driessche, P. 105 2008 First and second order linear dynamic equations on time scales. Zbl 0993.39010 Bohner, Martin; Peterson, Allan 103 2001 Some discrete competition models and the competitive exclusion principle. Zbl 1071.39005 Cushing, J. M.; Levarge, Sheree; Chitnis, Nakul; Henson, Shandelle M. 99 2004 The tamed Milstein method for commutative stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65008 Wang, Xiaojie; Gan, Siqing 96 2013 ECO: A methodology for the enumeration of combinatorial objects. Zbl 0944.05005 Barcucci, Elena; Del Lungo, Alberto; Pergola, Elisa; Pinzani, Renzo 82 1999 Solutions to second-order three-point problems on time scales. Zbl 1021.34011 Anderson, Douglas R. 81 2002 On second-order rational difference equations. II. Zbl 1138.39002 Amleh, A. M.; Camouzis, E.; Ladas, G. 79 2008 More on Poincaré’s and Perron’s theorems for difference equations. Zbl 1002.39014 Pituk, Mihály 72 2002 Eigenvalue problems for anisotropic discrete boundary value problems. Zbl 1181.47016 Mihăilescu, Mihai; Rădulescu, Vicenţiu; Tersian, Stepan 70 2009 A periodically forced Beverton-Holt equation. Zbl 1023.39013 Cushing, J. M.; Henson, Shandelle M. 68 2002 On a discrete fractional three-point boundary value problem. Zbl 1253.26010 Goodrich, Christopher S. 67 2012 A higher order difference method for singularly perturbed parabolic partial differential equations. Zbl 1427.65156 Das, Pratibhamoy 67 2018 On impulsive Beverton-holt difference equations and their applications. Zbl 1068.39005 Berezansky, Leonid; Braverman, Elena 67 2004 On the use of nonstandard finite difference methods. Zbl 1073.65545 Patidar, Kailash C. 67 2005 Global stability of a linear nonautonomous delay difference equation. Zbl 0855.39007 Erbe, L. H.; Xia, H. 66 1995 Global dynamics of some periodically forced, monotone difference equations. Zbl 1002.39003 Cushing, J. M.; Henson, Shandelle M. 66 2001 Allee effects in a discrete-time host-parasitoid model. Zbl 1088.92058 Jang, Sophia R.-J. 63 2006 Existence of solutions for a one dimensional \(p\)-Laplacian on time-scales. Zbl 1058.39010 Anderson, Douglas; Avery, Richard; Henderson, Johnny 63 2004 Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures. Zbl 1084.39005 Elaydi, Saber; Sacker, Robert J. 62 2005 Stability in the first approximation of some Volterra difference equations. Zbl 0907.39012 Kolmanovskii, V. B.; Myshkis, A. D. 60 1998 Asymptotics for linear difference equations. I: Basic theory. Zbl 0954.39011 Elaydi, S. 60 1999 On the oscillation of second-order half-linear dynamic equations. Zbl 1170.34023 Grace, Said R.; Bohner, Martin; Agarwal, Ravi P. 60 2009 On the asymptotics of the difference equation \(y_{n}(1 + y_{n - 1} \cdots y_{n - k + 1}) = y_{n - k}\). Zbl 1220.39011 Berg, Lothar; Stević, Stevo 59 2011 Inclusion theorems for nonlinear difference equations with applications. Zbl 1056.39003 Berg, Lothar 59 2004 Complete sum of products of \((h,q)\)-extension of Euler polynomials and numbers. Zbl 1223.11027 Simsek, Yilmaz 58 2010 Modeling Wolbachia infection in mosquito population via discrete dynamical models. Zbl 1536.92156 Yu, Jianshe; Zheng, Bo 57 2019 Symmetry \(p\)-adic invariant integral on \(\mathbb Z_p\) for Bernoulli and Euler polynomials. Zbl 1229.11152 Kim, Taekyun 56 2008 Rational systems in the plane. Zbl 1169.39010 Camouzis, E.; Kulenović, M. R. S.; Ladas, G.; Merino, O. 56 2009 Criterions for absolute continuity on time scales. Zbl 1081.39011 Cabada, Alberto; Vivero, Dolores R. 55 2005 Monotone maps: a review. Zbl 1080.37016 Hirsch, M. W.; Smith, Hal 55 2005 On the recursive sequence \(x_{n+1}=p+\frac{x_{n-k}}{x_n}\). Zbl 1049.39026 DeVault, R.; Kent, C.; Kosmala, W. 54 2003 Two positive solutions of a boundary value problem for difference equations. Zbl 0854.39001 Merdivenci, Ferhan 53 1995 Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one. Zbl 1276.26013 Ferreira, Rui A. C. 53 2013 \(q\)-analogues of two Ramanujan-type formulas for \(1/\pi\). Zbl 1444.11036 Guo, Victor J. W.; Liu, Ji-Cai 53 2018 Two \(q\)-difference equations and \(q\)-operator identities. Zbl 1223.39005 Liu, Zhiguo 50 2010 On the trichotomy character of \(x_{n+1}=(\alpha+\beta x_n+\gamma x_{n-1})/(A+x_n)\). Zbl 1005.39017 Gibbons, C. H.; Kulenović, M. R. S.; Ladas, G.; Voulov, H. D. 48 2002 Persistence for stochastic difference equations: a mini-review. Zbl 1258.39010 Schreiber, Sebastian J. 48 2012 Global behaviour of a second-order nonlinear difference equation. Zbl 1232.39014 Bajo, Ignacio; Liz, Eduardo 48 2011 Solving parameterized linear difference equations in terms of indefinite nested sums and products. Zbl 1087.33011 Schneider, Carsten 47 2005 The behaviour of the positive solutions of the difference equation \(x_n = A + (\frac{x_{n-2}}{x_{n-1}})^p\). Zbl 1111.39003 Berenhaut, Kenneth S.; Stević, Stevo 46 2006 Global asymptotic stability in a rational equation. Zbl 1055.39014 Li, Xianyi; Zhu, Deming 46 2003 Boundary value problems for second-order nonlinear difference equations with discrete \(\phi \)-Laplacian and singular \(\phi \). Zbl 1161.39003 Bereanu, Cristian; Mawhin, Jean 45 2008 The concept of spectral dichotomy for linear difference equations. II. Zbl 0880.39009 Aulbach, Bernd; Nguyen Van Minh 42 1996 A note on the nonautonomous Beverton-Holt model. Zbl 1084.39007 Kocic, V. L. 42 2005 Boundedness character of positive solutions of a max difference equation. Zbl 1116.39001 Berenhaut, Kenneth S.; Foley, John D.; Stević, Stevo 42 2006 On a solvable system of rational difference equations. Zbl 1298.39013 Stević, Stevo; Diblík, Josef; Iričanin, Bratislav; Šmarda, Zdeněk 42 2014 Nonstandard finite difference methods: recent trends and further developments. Zbl 1347.65138 Patidar, K. C. 42 2016 The dichotomy spectrum for noninvertible systems of linear difference equations. Zbl 1001.39003 Aulbach, Bernd; Siegmund, Stefan 41 2001 Oscillation of a class of delay partial difference equations. Zbl 0856.39015 Zhang, Bing Gen; Liu, Shu Tang; Cheng, Sui Sun 40 1995 An extension of the non-terminating \(_{6}\phi _{5}\) summation and the Askey-Wilson polynomials. Zbl 1229.05043 Liu, Zhi-Guo 40 2011 Convexity for nabla and delta fractional differences. Zbl 1320.39003 Baoguo, Jia; Erbe, Lynn; Peterson, Allan 40 2015 Periodicity of some classes of holomorphic difference equations. Zbl 1103.39004 Berg, Lothar; Stević, Stevo 39 2006 Pullback attractors in nonautonomous difference equations. Zbl 0961.39007 Kloeden, Peter E. 39 2000 Discrete oscillation. Zbl 1038.39010 Kratz, Werner 39 2003 The Goulden-Jackson cluster method: Extensions, applications and implementations. Zbl 0935.05003 Noonan, John; Zeilberger, Doron 38 1999 When does local asymptotic stability imply global attractivity in rational equations? Zbl 1105.39001 Camouzis, E.; Ladas, G. 38 2006 Li-Yorke chaos in a class of nonautonomous discrete systems. Zbl 1221.37080 Cánovas, Jose S. 38 2011 Asymptotic 2-periodic difference equations with diagonally self-invertible responses. Zbl 0963.39020 Karakostas, George 37 2000 Global behaviours of rational difference equations of orders two and three with quadratic terms. Zbl 1169.39006 Sedaghat, H. 37 2009 Chaos of time-varying discrete dynamical systems. Zbl 1173.37032 Shi, Yuming; Chen, Guanrong 37 2009 Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates. Zbl 1252.92049 Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki; Izzo, Giuseppe; Vecchio, Antonia 37 2012 On the recursive sequence \(x_{n+1}=(\alpha x_n+\beta x_{n-1})/(A+x_n)\). Zbl 0966.39003 Kulenović, M. R. S.; Ladas, G.; Prokup, N. R. 36 2000 Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type. Zbl 0882.39005 Elaydi, Saber; Murakami, Satoru 36 1996 A positivity-preserving Mickens-type discretization of an epidemic model. Zbl 1033.92030 Moghadas, S. M.; Alexander, M. E.; Corbett, B. D.; Gumel, A. B. 36 2003 Positive solutions of three-point nonlinear discrete second order boundary value problem. Zbl 1056.39024 Ma, Ruyun; Raffoul, Youssef N. 36 2004 Oscillation and asymptotic stability of two systems of difference equations of rational form. Zbl 1009.39006 Papaschinopoulos, G.; Schinas, C. J. 35 2001 Random attractors for stochastic lattice systems with non-Lipschitz nonlinearity. Zbl 1223.39010 Caraballo, T.; Morillas, F.; Valero, J. 35 2011 Oscillation criteria for nonlinear functional neutral dynamic equations on time scales. Zbl 1193.34135 Erbe, Lynn; Hassan, Taher S.; Peterson, Allan 35 2009 On a class of difference equations with strong negative feedback. Zbl 0951.39002 Amleh, A. M.; Kruse, N.; Ladas, G. 34 1999 On the eventual periodicity of \(x_{n+1} = \max \{\frac{1}{x_n},\frac{A_n}{x_{n-1}}\}\) with a period-four parameter. Zbl 1095.39016 Feuer, J. 34 2006 Systems of semipositone discrete fractional boundary value problems. Zbl 1319.39002 Dahal, Rajendra; Duncan, David; Goodrich, Christopher S. 34 2014 Oscillation properties of an Emden-Fowler type equation on discrete time scales. Zbl 1038.39009 Akin-Bohner, Elvan; Hoffacker, Joan 34 2003 Positive solutions for systems of nonlinear discrete boundary value problems. Zbl 1185.39003 Henderson, J.; Ntouyas, S. K.; Purnaras, I. K. 34 2009 Bernstein series solutions of pantograph equations using polynomial interpolation. Zbl 1243.34117 Işik, Osman Raşit; Güney, Zekeriya; Sezer, Mehmet 33 2012 Fixed point theorem of cone expansion and compression of functional type. Zbl 1013.47019 Anderson, Douglas R.; Avery, Richard I. 33 2002 Oscillation theorems for symplectic difference systems. Zbl 1124.39006 Došlý, Ondřej; Kratz, Werner 33 2007 Eigenvalue conditions and positive solutions. Zbl 0949.34015 Erbe, Lynn; Peterson, Allan 32 2000 Extended Hyers-Ulam stability for Cauchy-Jensen mappings. Zbl 1135.39013 Jun, Kil-Woung; Kim, Hark-Mahn; Rassias, John Michael 32 2007 Global stability of cycles Lotka-Volterra competition model with stocking. Zbl 1048.39002 Elaydi, Saber; Yakubu, Abdul-Aziz 32 2002 On semipositone discrete fractional boundary value problems with non-local boundary conditions. Zbl 1282.26008 Goodrich, Christopher S. 32 2013 Neimark-Sacker bifurcation and chaos control in Hassell-Varley model. Zbl 1377.92067 Din, Qamar 32 2017 Dichotomy and trichotomy of difference equations. Zbl 0914.39013 Elaydi, S.; Janglajew, K. 31 1998 Stability and stabilizability for linear systems of difference equations. Zbl 1064.39011 Sasu, Bogdan; Sasu, Adina Luminiţa 31 2004 On the global attractivity and the periodic character of some difference equations. Zbl 0993.39008 El-Metwally, H.; Grove, E. A.; Ladas, G.; Voulov, H. D. 31 2001 Double solutions of impulsive dynamic boundary value problems on a time scale. Zbl 1003.39019 Henderson, Johnny 31 2002 Global behavior of the solutions of Lyness’ difference equation \(u_{n+2}u_n=u_{n+1}+a\). Zbl 1070.39025 Bastien, G.; Rogalski, M. 31 2004 Exclusion and dominance in discrete population models via the carrying simplex. Zbl 1303.92107 Ruiz-Herrera, Alfonso 31 2013 On exact convergence rates for solutions of linear systems of Volterra difference equations. Zbl 1119.39003 Appleby, John A. D.; Győri, István; Reynolds, David W. 31 2006 Allee effects in a discrete-time SIS epidemic model with infected newborns. Zbl 1118.92056 Yakubu, Abdul-Aziz 31 2007 Global attractors for difference equations dominated by one-dimensional maps. Zbl 1142.39009 El-Morshedy, Hassan A.; López, Víctor Jiménez 30 2008 On the recursive sequence \(x_{n+1}={\alpha+\beta x_ n+\gamma x_{n-1}\over A+Bx_ n+Cx_{n-1}}\). Zbl 0855.39006 Ladas, G. 30 1995 EG-eliminations. Zbl 0936.65144 Abramov, Sergei A. 30 1999 Multiple solutions for \(2m\)th order Sturm-Liouville boundary value problems on a measure chain. Zbl 0965.39008 Henderson, Johnny 30 2000 On first order impulsive dynamic equations on time scales. Zbl 1054.39012 Benchohra, M.; Henderson, J.; Ntouyas, S. K.; Ouahab, A. 30 2004 HIV/AIDS epidemic fractional-order model. Zbl 1379.92070 Zafar, Zain Ul Abadin; Rehan, Kashif; Mushtaq, M. 30 2017 Dynamics of rational difference equations containing quadratic terms. Zbl 1196.39006 Dehghan, M.; Kent, C. M.; Mazrooei-Sebdani, R.; Ortiz, N. L.; Sedaghat, H. 29 2008 Error analysis of a weak Galerkin finite element method for singularly perturbed differential-difference equations. Zbl 07827783 Toprakseven, Şuayip; Tao, Xia; Hao, Jiaxiong 1 2024 Border-collision bifurcations from stable fixed points to any number of coexisting chaotic attractors. Zbl 1539.37054 Simpson, D. J. W. 1 2024 ‘Diophantine’ and factorization properties of finite orthogonal polynomials in the Askey scheme. Zbl 07890814 Odake, Satoru; Sasaki, Ryu 1 2024 On Shilnikov attractors of three-dimensional flows and maps. Zbl 1532.37036 Bakhanova, Yu. V.; Gonchenko, S. V.; Gonchenko, A. S.; Kazakov, A. O.; Samylina, E. A. 5 2023 Controlling chimera and solitary states by additive noise in networks of chaotic maps. Zbl 1532.37072 Rybalova, Elena; Schöll, Eckehard; Strelkova, Galina 4 2023 Detecting invariant expanding cones for generating word sets to identify chaos in piecewise-linear maps. Zbl 1532.37048 Simpson, D. J. W. 3 2023 Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis. Zbl 1529.39019 Wu, Guo-Cheng; Wei, Jia-Li; Luo, Maokang 3 2023 Chaotic behaviour of countable products of homeomorphism groups. Zbl 1532.37011 Zhukova, N. I.; Korotkov, A. G. 3 2023 Optimal placement of sensor and actuator for controlling the piecewise linear Chua circuit via a discretized controller. Zbl 1531.93028 Letellier, Christophe; Minati, Ludovico; Barbot, Jean-Pierre 3 2023 A higher order implicit adaptive finite point method for the Burgers’ equation. Zbl 1518.65092 Shyaman, V. P.; Sreelakshmi, A.; Awasthi, Ashish 2 2023 A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds. Zbl 1519.39012 Baigent, S.; Hou, Z.; Elaydi, S.; Balreira, E. C.; Luís, R. 2 2023 On regular curve homeomorphisms without periodic points. Zbl 1523.37015 Daghar, Aymen 2 2023 On the relationship between Lozi maps and max-type difference equations. Zbl 1528.39001 Linero Bas, A.; Nieves Roldán, D. 2 2023 Ramified continua as global attractors of \(C^1\)-smooth self-maps of a cylinder close to skew products. Zbl 1532.37028 Efremova, L. S. 2 2023 Dynamics of three-dimensional \(\mathrm{A}\)-diffeomorphisms with two-dimensional attractors and repellers. Zbl 1532.37027 Barinova, Marina; Grines, Vyacheslav; Pochinka, Olga 2 2023 On target-oriented control of Hénon and Lozi maps. Zbl 1528.39007 Braverman, E.; Rodkina, A. 2 2023 Pastro polynomials and Sobolev-type orthogonal polynomials on the unit circle based on a \(q\)-difference operator. Zbl 1539.33016 Hancco Suni, M.; Marcellán, F.; Sri Ranga, A. 1 2023 The single-indexed exceptional Krawtchouk polynomials. Zbl 1535.33010 Miki, Hiroshi; Tsujimoto, Satoshi; Vinet, Luc 1 2023 Further WZ-based methods for proving and generalizing Ramanujan’s series. Zbl 1535.33032 Campbell, John M.; Levrie, Paul 1 2023 Discrete diffusion-type equation on regular graphs and its applications. Zbl 1531.35340 Cadavid, Carlos A.; Hoyos, Paulina; Jorgenson, Jay; Smajlović, Lejla; Vélez, Juan D. 1 2023 Derivation of weighting rules for developing a class of A-stable numerical integration scheme: \(\alpha I\)-\((2 + 3)\mathrm{P}\) method. Zbl 1515.65188 Babaei, Mehdi; Farzi, Javad 1 2023 Variational principles for pointwise preimage entropies. Zbl 1530.37040 Shi, Yaling; Yan, Kesong; Zeng, Fanping 1 2023 Correction to: “Recurrence and nonwandering sets of local dendrite maps”. Zbl 1540.37032 Abdelli, Hafedh; Marzougui, Habib; Mchaalia, Amira 1 2023 Limit periodic perturbations of difference systems with coefficients from commutative groups. Zbl 1519.39002 Hasil, Petr; Veselý, Michal 1 2023 A discrete-time dynamical system of mosquito population. Zbl 1512.92064 Boxonov, Z. S. 1 2023 On some congruences involving Apéry-like numbers \(S_n\). Zbl 1516.11005 Mao, Guo-Shuai; Li, Danrui; Ma, Xinmin 1 2023 Oscillations of deviating difference equations with continuous time and oscillatory coefficients. Zbl 1522.39006 Chatzarakis, George E.; Péics, Hajnalka; Rožnjik, Andrea 1 2023 A higher-dimensional generalization of the Lozi map: bifurcations and dynamics. Zbl 1532.37044 Bilal, Shakir; Ramaswamy, Ramakrishna 1 2023 \(\mathrm{K}\)-symbol fractional order discrete-time models of Lozi system. Zbl 1532.37045 Ibrahim, Rabha W. 1 2023 Border collision bifurcations in a piecewise linear duopoly model. Zbl 1535.37051 Gardini, Laura; Radi, Davide 1 2023 On the quasi-hyperbolic regime in a certain family of 2-D piecewise linear maps. Zbl 07775576 Ladjeroud, Asma; Zeraoulia, Elhadj 1 2023 Search for invariant sets of the generalized tent map. Zbl 1529.39014 Ayers, Kimberly; Dmitrishin, Dmitriy; Radunskaya, Ami; Stokolos, Alexander; Stokolos, Kostyantyn 1 2023 Chaotic attractors of discrete dynamical systems used in the core of evolutionary algorithms: state of art and perspectives. Zbl 1532.37070 Zelinka, Ivan; Senkerik, Roman 1 2023 Chaos in popular metaheuristic optimizers – a bibliographic analysis. Zbl 07775581 Pluhacek, Michal; Kazikova, Anezka; Viktorin, Adam; Kadavy, Tomas; Senkerik, Roman 1 2023 Remarks on minimal sets on dendrites and finite graphs. Zbl 1532.37021 Makhrova, E. N. 1 2023 Controlling chaotic transients in the Hénon and the Lozi map with the safety function. Zbl 07775564 Capeáns, Rubén; Sanjuán, Miguel A. F. 1 2023 Statistical self-similarity in Lozi and Hénon’s strange attractors. Zbl 1532.37038 Viveiros, Alexandre M. de Paula 1 2023 Markov partition in the attractor of Lozi maps. Zbl 1532.37042 Baptista, Diogo 1 2023 Lozi map embedded into the 2D border collision normal form. Zbl 1532.37046 Sushko, I.; Avrutin, V.; Gardini, L. 1 2023 Existence proofs for strange attractors in piecewise-smooth nonlinear Lozi-Hénon and Belykh maps. Zbl 1532.37043 Belykh, Vladimir N.; Barabash, Nikita V.; Grechko, Dina A. 1 2023 Memristor-based Gauss chaotic maps with hidden/self-exited dynamics. Zbl 1529.39018 Bao, Han; Gu, Yang; Sun, Jianjun; Zhang, Xi; Bao, Bocheng 1 2023 Enhanced design and hardware implementation of a chaos-based block cipher for image protection. Zbl 07775590 Madani, Mahdi; El Assad, Safwan; Dridi, Fethi; Lozi, René 1 2023 On secure communication scheme-based mixed discrete-time hyperchaotic systems. Zbl 1528.94004 Khalifa, Narjes; Benrejeb, Mohamed 1 2023 On the use of chaotic dynamics for mobile network design and analysis: towards a trace data generator. Zbl 1528.39009 Rosalie, Martin; Chaumette, Serge 1 2023 The SEIR Covid-19 model described by fractional-order difference equations: analysis and application with real data in Brazil. Zbl 1534.92068 Almatroud, A. Othman; Djenina, Noureddine; Ouannas, Adel; Grassi, Giuseppe 1 2023 Nonlinear dynamic and chaos in a remanufacturing duopoly game with heterogeneous players and nonlinear inverse demand functions. Zbl 1528.39008 Meskine, Habiba; Abdelouahab, Mohammed Salah; Lozi, René 1 2023 Fast high-accuracy compact conservative difference schemes for solving the nonlinear Schrödinger equation. Zbl 1486.65092 Almushaira, Mustafa 7 2022 Applications of the novel diamond alpha Hardy-Copson type dynamic inequalities to half linear difference equations. Zbl 1495.26034 Kayar, Zeynep; Kaymakçalan, Billur 5 2022 A second-order difference scheme for the singularly perturbed Sobolev problems with third type boundary conditions on Bakhvalov mesh. Zbl 1486.65103 Gunes, B.; Duru, Hakki 4 2022 Proof of some conjectural congruences modulo \(p^3\). Zbl 1498.11013 Mao, Guo-Shuai; Li, Danrui 4 2022 Well-posedness and dynamics of double time-delayed lattice FitzHugh-Nagumo systems. Zbl 1500.34064 Zhang, Qiangheng 3 2022 Stability of coupled Huygens oscillators. Zbl 1511.34055 Oliveira, Henrique M.; Perestrelo, Sara 3 2022 Spatial maxima, unimodality, and asymptotic behaviour of solutions to discrete diffusion-type equations. Zbl 1484.39007 Slavík, Antonín 3 2022 Emission charge controllability in Cournot duopoly: static and dynamic effects. Zbl 1508.91321 Matsumoto, Akio; Nonaka, Yasuo; Szidarovszky, Ferenc 3 2022 On discrete coherent pairs of measures. Zbl 1498.42038 Álvarez-Nodarse, R.; Castillo, K.; Mbouna, D.; Petronilho, J. 3 2022 The Lorenz model in discrete time. Zbl 1516.37047 Gardini, Laura; Tikjha, Wirot 2 2022 On the symmetrization and composition of nonstandard finite difference schemes as an alternative to Richardson’s extrapolation. Zbl 1492.65219 Calatayud, Julia; Jornet, Marc 2 2022 Global exponential stability of discrete-time Hopfield neural network models with unbounded delays. Zbl 1492.39011 Oliveira, José J. 2 2022 Mathematical model of measles transmission dynamics using real data from Nigeria. Zbl 1493.92080 Peter, Olumuyiwa James; Ojo, Mayowa M.; Viriyapong, Ratchada; Oguntolu, Festus Abiodun 2 2022 High-order compact finite difference scheme with two conserving invariants for the coupled nonlinear Schrödinger-KdV equations. Zbl 1492.65237 He, Yuyu; Wang, Xiaofeng 2 2022 Trigonometric \(B\)-spline based \(\varepsilon\)-uniform scheme for singularly perturbed problems with Robin boundary conditions. Zbl 1492.65283 Singh, Satpal; Kumar, Devendra; Deswal, Komal 2 2022 Mathematical modelling and nonstandard finite scheme analysis for an Ebola model transmission with information and voluntary isolation. Zbl 1495.34070 Tadmon, Calvin; Ndé Kengne, Jacques 1 2022 Evolution maps and symmetry. Zbl 1496.37027 Barreira, Luis; Valls, Claudia 1 2022 Classification of variational multiplicative fourth-order difference equations. Zbl 1505.39016 Gubbiotti, G. 1 2022 Dimensions of slices through the Sierpiński gasket. Zbl 1525.28006 Nakajima, Yuto 1 2022 Divided differences and well-poised \(q\)-series. Zbl 1494.33014 Chu, Wenchang 1 2022 Bohr/Levitan almost periodic and almost automorphic solutions of monotone difference equations with a strict monotone first integral. Zbl 1528.39005 Cheban, David 1 2022 Two variable Freud orthogonal polynomials and matrix Painlevé-type difference equations. Zbl 1507.42021 Bracciali, Cleonice F.; Costa, Glalco S.; Pérez, Teresa E. 1 2022 \(q\)-analogues of some supercongruences related to Euler numbers. Zbl 1495.11039 Guo, Victor J. W. 1 2022 On a discrete model of tumour-immune system interactions with blockade of immune checkpoints. Zbl 1484.92023 Khyat, Toufik; Jang, Sophia R.-J. 1 2022 A current-value Hamiltonian approach to discrete-time optimal control problems in economic growth theory. Zbl 1493.37115 Naz, R. 1 2022 A note on a positivity preserving hyperbolic NSFD scheme for heat transfer. Zbl 1534.65141 Mickens, Ronald E.; Washington, Talitha 1 2022 Bifurcation analysis of a piecewise-smooth Ricker map with proportional threshold harvesting. Zbl 1503.39010 Liz, Eduardo 1 2022 Dynamics of the secant map near infinity. Zbl 1509.37043 Garijo, Antonio; Jarque, Xavier 1 2022 Discrete Melnikov functions. Zbl 1514.39004 Gasull, Armengol; Valls, Claudia 1 2022 Global behaviour of a class of discrete epidemiological SI models with constant recruitment of susceptibles. Zbl 1486.37052 Kalabušić, Senada; Pilav, Esmir 1 2022 Gosper-type sums with reciprocals of binomial coefficients of the form \(\binom{3n+\varepsilon}{n}\). Zbl 1506.11034 Chu, Wenchang 1 2022 Reduced transfer operators for singular difference equations. Zbl 07639057 Schulz-Baldes, Hermann 1 2022 An efficient finite difference method for coupled systems of singularly perturbed parabolic convection-diffusion problems. Zbl 1490.65155 Kuldeep; Kumar, Sunil 1 2022 Consistent discrete global dynamics of a general initial boundary value problem for hepatitis B virus infection with capsids and adaptive immunity. Zbl 1495.31018 Foko, Séverin; Tadmon, Calvin 1 2022 On the convergence of NSFD schemes for a new class of advection-diffusion-reaction equations. Zbl 07569071 Kayenat, Sheerin; Verma, Amit K. 1 2022 Second-order difference equation for Sobolev-type orthogonal polynomials. I: Theoretical results. Zbl 1518.33005 Filipuk, Galina; Mañas-Mañas, Juan F.; Moreno-Balcázar, Juan J. 1 2022 Some \(q\)-supercongruences for truncated forms of squares of basic hypergeometric series. Zbl 1472.11020 Li, Long 20 2021 Second-order parameter-uniform finite difference scheme for singularly perturbed parabolic problem with a boundary turning point. Zbl 1476.65176 Ku Sahoo, Sanjay; Gupta, Vikas 11 2021 Some variations of a ‘divergent’ Ramanujan-type \(q\)-supercongruence. Zbl 1469.11031 Guo, Victor J. W. 11 2021 Uniformly historic behaviour in compact dynamical systems. Zbl 1482.37007 Saburov, Mansoor 9 2021 On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems. Zbl 1475.37102 Hou, Zhanyuan 8 2021 Sensitivity and chaos on product and on hyperspatial semiflows. Zbl 1470.37022 Thakur, Rahul; Das, Ruchi 7 2021 Bifurcation analysis and hybrid control of a discrete-time predator-prey model. Zbl 1466.39013 Fei, Lizhi; Chen, Xingwu; Han, Bensan 7 2021 Analytical and numerical convexity results for discrete fractional sequential differences with negative lower bound. Zbl 1510.26007 Goodrich, Christopher S.; Lyons, Benjamin; Scapellato, Andrea; Velcsov, Mihaela T. 7 2021 A numerical method for solving hyperbolic partial differential equations with piecewise constant arguments and variable coefficients. Zbl 1476.65169 Esmailzadeh, M.; Najafi, H. Saberi; Aminikhah, H. 6 2021 Random attractors for multi-valued multi-stochastic delayed \(p\)-Laplace lattice equations. Zbl 1484.37095 Wang, Fengling; Li, Yangrong 6 2021 General theory of the higher-order quaternion linear difference equations via the complex adjoint matrix and the quaternion characteristic polynomial. Zbl 1472.39001 Wang, Chao; Chen, Desu; Li, Zhien 6 2021 Necessary and sufficient conditions for the roots of a cubic polynomial and bifurcations of codimension-1, -2, -3 for 3D maps. Zbl 1481.39015 Gardini, Laura; Schmitt, Noemi; Sushko, Iryna; Tramontana, Fabio; Westerhoff, Frank 6 2021 An improvement of two nonstandard finite difference schemes for two population mathematical models. Zbl 07355117 Calatayud, Julia; Jornet, Marc 5 2021 Some \(q\)-congruences on double basic hypergeometric sums. Zbl 1472.11014 Guo, Victor J. W.; Lian, Xiuguo 5 2021 On the forward dynamical behaviour of nonautonomous lattice dynamical systems. Zbl 1482.37082 Li, Chunqiu; Wang, Jintao 5 2021 Meromorphic functions of finite \(\varphi\)-order and linear \(q\)-difference equations. Zbl 1485.39011 Heittokangas, J.; Wang, J.; Wen, Z. T.; Yu, H. 4 2021 On construction of almost periodic sequences and applications to some discrete population models. Zbl 1467.92154 Hamidoğlu, Ali; Taghiyev, Mustafa H. 4 2021 Stability analysis of a time varying population model without migration. Zbl 1479.39017 Dilip, D. S.; Mathew, Smitha Mary 4 2021 ...and 1519 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,726 Authors 173 Stević, Stevo 87 Agarwal, Ravi P. 67 Bohner, Martin J. 62 Kulenović, Mustafa R. S. 56 Henderson, Johnny Lee 53 Goodrich, Christopher S. 53 Sun, Taixiang 52 Elaydi, Saber Nasr 49 Guo, Victor J. W. 48 Šimon Hilscher, Roman 46 Ladas, Gerasimos E. 46 Mansour, Toufik 44 Grace, Said Rezk 44 Macías-Díaz, Jorge Eduardo 44 O’Regan, Donal 40 Diblík, Josef 40 Iričanin, Bratislav D. 40 Kim, Taekyun 40 Kloeden, Peter Eris 40 Papaschinopoulos, Garyfalos 40 Xi, Hongjian 40 Yu, Jian-She 39 Li, Wan-Tong 39 Pötzsche, Christian 38 Braverman, Elena 36 Anderson, Douglas Robert 36 Kong, Lingju 36 Wong, Patricia J. Y. 35 Băleanu, Dumitru I. 35 Din, Qamar 35 Graef, John R. 35 Shi, Yuming 34 Chu, Wenchang 34 Li, Tongxing 33 Kim, Dae San 33 Saker, Samir H. 32 Peterson, Allan C. 32 Pinto, Manuel 31 Camouzis, Elias 31 Shi, Haiping 30 Jang, Sophia R.-J. 30 Schinas, Christos J. 30 Šmarda, Zdeněk 30 Yakubu, Abdul-Aziz 29 Erbe, Lynn Harry 29 Sedaghat, Hassan 29 Zhou, Zhan 28 Heidarkhani, Shapour 28 Lizama, Carlos 28 Ma, Ruyun 28 Schneider, Carsten 27 Cushing, Jim M. 27 Gasull, Armengol 27 Hoang, Manh Tuan 27 Mickens, Ronald Elbert 27 Pilav, Esmir 27 Schmeidel, Ewa L. 27 Tisdell, Christopher C. 26 Cuevas, Claudio 26 Ding, Xiaohua 26 Došlý, Ondřej 26 Marcellán Español, Francisco 25 Kalabušić, Senada 25 Li, Yangrong 25 Oprocha, Piotr 25 Park, Choonkil 25 Rodkina, Alexandra 25 Sacker, Robert J. 25 Teng, Zhi-dong 25 Zhang, Binggen 24 Cao, Jian 24 Chatzarakis, George E. 24 Ge, Weigao 24 Jamilov, Uygun U. 24 Medina, Rigoberto 24 Sasu, Bogdan 23 Cima, Anna 23 Dehghan Takht Fooladi, Mehdi 23 Dragičević, Davor 23 Galewski, Marek 23 Jia, Baoguo 23 Li, Jia 23 Li, Xianyi 23 Liu, Xia 23 Llibre, Jaume 23 Luca, Rodica 23 Mañosa, Víctor 23 Sun, Shurong 22 Ackleh, Azmy S. 22 Hasil, Petr 22 Lubuma, Jean Mbaro-Saman 22 Raffoul, Youssef Naim 22 Sasu, Adina Luminiţa 22 Zhang, Weinian 21 Caraballo Garrido, Tomás 21 Das, Ruchi 21 Jonnalagadda, Jagan Mohan 21 Liz, Eduardo 21 Mazrooei-Sebdani, Reza 21 Naimzada, Ahmad K. ...and 8,626 more Authors all top 5 Cited in 727 Journals 1,092 Journal of Difference Equations and Applications 521 Advances in Difference Equations 428 Journal of Mathematical Analysis and Applications 389 Applied Mathematics and Computation 246 Computers & Mathematics with Applications 218 Discrete Dynamics in Nature and Society 199 Mathematical Methods in the Applied Sciences 194 Journal of Computational and Applied Mathematics 187 Abstract and Applied Analysis 148 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 137 Applied Mathematics Letters 120 Discrete and Continuous Dynamical Systems. Series B 117 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 104 Chaos, Solitons and Fractals 104 Journal of Applied Mathematics and Computing 100 Journal of Biological Dynamics 96 Qualitative Theory of Dynamical Systems 87 Journal of Differential Equations 84 Communications in Nonlinear Science and Numerical Simulation 65 Mathematical and Computer Modelling 61 Results in Mathematics 60 Journal of Mathematical Biology 59 Mathematics and Computers in Simulation 59 Journal of Inequalities and Applications 58 Applied Numerical Mathematics 56 Discrete and Continuous Dynamical Systems 55 Proceedings of the American Mathematical Society 54 Chaos 52 Linear Algebra and its Applications 50 Turkish Journal of Mathematics 50 Mediterranean Journal of Mathematics 48 Boundary Value Problems 44 Integral Transforms and Special Functions 44 Nonlinear Dynamics 44 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 43 The Ramanujan Journal 42 International Journal of Computer Mathematics 41 Mathematical Biosciences 41 International Journal of Biomathematics 39 Nonlinearity 39 Rocky Mountain Journal of Mathematics 39 Ergodic Theory and Dynamical Systems 39 Differential Equations and Dynamical Systems 37 Physica D 37 Computational and Applied Mathematics 36 Mathematical Biosciences and Engineering 35 Topology and its Applications 35 Aequationes Mathematicae 35 Journal of Nonlinear Science and Applications 35 Journal of Applied Analysis and Computation 34 Nonlinear Analysis. Real World Applications 33 Journal of Mathematical Physics 33 Journal of Dynamics and Differential Equations 32 Journal of Function Spaces 32 Open Mathematics 31 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 30 Bulletin of Mathematical Biology 30 Mathematische Nachrichten 28 Numerical Algorithms 28 Journal of Mathematical Sciences (New York) 28 Filomat 27 Applicable Analysis 27 Automatica 27 Advances in Applied Mathematics 27 Acta Mathematica Sinica. English Series 26 Applied Mathematical Modelling 26 Journal of Theoretical Biology 25 Discrete Mathematics 25 Journal of Applied Mathematics 24 Transactions of the American Mathematical Society 24 Mathematical Problems in Engineering 24 Dynamical Systems 23 Numerical Methods for Partial Differential Equations 23 Fractional Calculus & Applied Analysis 22 Physica A 22 International Journal of Mathematics and Mathematical Sciences 22 Theoretical Computer Science 22 Acta Applicandae Mathematicae 22 Discrete and Continuous Dynamical Systems. Series S 21 Periodica Mathematica Hungarica 21 Theoretical Population Biology 21 Systems & Control Letters 21 Opuscula Mathematica 21 Differential Equations and Applications 20 Mathematica Slovaca 20 Stochastic Processes and their Applications 19 Ukrainian Mathematical Journal 19 Journal of Symbolic Computation 19 Science China. Mathematics 18 International Journal of Control 18 Journal of the Franklin Institute 18 Numerical Functional Analysis and Optimization 18 Fractals 18 Complex Analysis and Operator Theory 18 International Journal of Differential Equations 18 Mathematical Sciences 17 Journal of Approximation Theory 17 Acta Mathematica Scientia. Series B. (English Edition) 17 Communications on Pure and Applied Analysis 17 Hacettepe Journal of Mathematics and Statistics ...and 627 more Journals all top 5 Cited in 63 Fields 3,953 Difference and functional equations (39-XX) 2,379 Ordinary differential equations (34-XX) 2,043 Dynamical systems and ergodic theory (37-XX) 1,437 Biology and other natural sciences (92-XX) 1,171 Numerical analysis (65-XX) 768 Partial differential equations (35-XX) 627 Operator theory (47-XX) 575 Special functions (33-XX) 504 Number theory (11-XX) 497 Probability theory and stochastic processes (60-XX) 495 Real functions (26-XX) 490 Combinatorics (05-XX) 450 Systems theory; control (93-XX) 332 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 230 Functions of a complex variable (30-XX) 179 Harmonic analysis on Euclidean spaces (42-XX) 178 Computer science (68-XX) 177 Integral equations (45-XX) 177 General topology (54-XX) 148 Calculus of variations and optimal control; optimization (49-XX) 144 Linear and multilinear algebra; matrix theory (15-XX) 98 Functional analysis (46-XX) 88 Global analysis, analysis on manifolds (58-XX) 87 Operations research, mathematical programming (90-XX) 77 Mechanics of particles and systems (70-XX) 76 Quantum theory (81-XX) 75 Measure and integration (28-XX) 74 Approximations and expansions (41-XX) 69 Fluid mechanics (76-XX) 55 Sequences, series, summability (40-XX) 52 Statistical mechanics, structure of matter (82-XX) 49 Integral transforms, operational calculus (44-XX) 46 Mechanics of deformable solids (74-XX) 42 Statistics (62-XX) 36 Algebraic geometry (14-XX) 35 Information and communication theory, circuits (94-XX) 28 Several complex variables and analytic spaces (32-XX) 28 Differential geometry (53-XX) 27 Field theory and polynomials (12-XX) 26 Abstract harmonic analysis (43-XX) 21 Group theory and generalizations (20-XX) 19 Commutative algebra (13-XX) 19 Manifolds and cell complexes (57-XX) 17 Convex and discrete geometry (52-XX) 17 Classical thermodynamics, heat transfer (80-XX) 16 General and overarching topics; collections (00-XX) 12 Algebraic topology (55-XX) 11 Mathematical logic and foundations (03-XX) 11 Nonassociative rings and algebras (17-XX) 10 History and biography (01-XX) 10 Order, lattices, ordered algebraic structures (06-XX) 10 Associative rings and algebras (16-XX) 10 Potential theory (31-XX) 9 Topological groups, Lie groups (22-XX) 7 Geophysics (86-XX) 6 Optics, electromagnetic theory (78-XX) 5 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Category theory; homological algebra (18-XX) 2 \(K\)-theory (19-XX) 2 Geometry (51-XX) 1 General algebraic systems (08-XX) 1 Mathematics education (97-XX) Citations by Year