# zbMATH — the first resource for mathematics

## 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: Indexed cover-to-cover
 Documents Indexed: 2,166 Publications (since 1995) References Indexed: 1,961 Publications with 36,269 References.
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#### Authors

 57 Ladas, Gerasimos E. 33 Mickens, Ronald Elbert 29 Henderson, Johnny Lee 27 Camouzis, Elias 27 Elaydi, Saber Nasr 27 Sedaghat, Hassan 24 Stević, Stevo 20 Kulenović, Mustafa R. S. 20 Zeilberger, Doron 19 Peterson, Allan C. 18 Erbe, Lynn Harry 18 Mansour, Toufik 17 Sacker, Robert J. 16 Bohner, Martin J. 15 Cheng, Sui Sun 15 Cushing, Jim M. 14 Pinto, Alberto Adrego 14 Roeger, Lih-Ing Wu 13 Agarwal, Ravi P. 13 Huang, Ying Sue 13 Kloeden, Peter Eris 13 Knopf, Peter M. 13 Kocic, Vlajko Lj. 13 Llibre, Jaume 13 Yakubu, Abdul-Aziz 12 Anderson, Douglas Robert 12 Jang, Sophia R.-J. 12 Kent, Candace M. 12 Marcellán Español, Francisco 12 Zhang, Weinian 11 Braverman, Elena 11 Goodrich, Christopher S. 11 Graef, John R. 11 Raffoul, Youssef Naim 10 Berenhaut, Kenneth S. 10 Grove, Edward Andrew 10 Guo, Victor J. W. 10 Macías-Díaz, Jorge Eduardo 10 Shi, Yuming 10 Šimon Hilscher, Roman 9 Berg, Lothar 9 Chow, Yunshyong 9 Galewski, Marek 9 Gasull, Armengol 9 Gyori, Istvan 9 Henson, Shandelle M. 9 Mazrooei-Sebdani, Reza 9 Medina, Rigoberto 9 O’Regan, Donal 9 Papaschinopoulos, Garyfalos 9 Patidar, Kailash C. 9 Shattuck, Mark A. 9 Tang, Xianhua 9 Tanny, Stephen M. 8 Abu-Saris, Raghib M. 8 Balibrea, Francisco 8 Cuevas, Claudio 8 Devault, Richard 8 Došlý, Ondřej 8 Linero Bas, Antonio 8 Luca, Rodica 8 Luís, Rafael 8 Lutz, Donald A. 8 Merino, Orlando 8 Naimzada, Ahmad K. 8 Pinto, Manuel 8 Purnaras, Ioannis K. 8 Rodkina, Alexandra 8 Schinas, Christos J 8 Tisdell, Christopher C. 7 Ackleh, Azmy S. 7 Allen, Linda J. S. 7 Bernhardt, Chris 7 Cima, Anna 7 Foupouagnigni, Mama 7 Franke, John E. 7 García Guirao, Juan Luis 7 Karakostas, George L. 7 Mañosa, Víctor 7 Merdivenci Atici, Ferhan 7 Nishimura, Kazuo 7 Pötzsche, Christian 7 Siegmund, Stefan 7 Thomas, Edward S. jun. 7 Tian, Yu 7 Voulov, Hristo Dimitrov 6 Amleh, A. M. 6 Aulbach, Bernd 6 Cabada, Alberto 6 Cánovas, Jose S. 6 Ding, Xiaohua 6 Filipuk, Galina V. 6 Gardini, Laura 6 Guseinov, Gusein Sh. 6 Heidarkhani, Shapour 6 Hilger, Stefan 6 Murakami, Satoru 6 Myshkis, Anatoliĭ Dmitrievich 6 Palladino, Frank J. 6 Philos, Christos G. ...and 2,081 more Authors
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#### Fields

 1,335 Difference and functional equations (39-XX) 549 Dynamical systems and ergodic theory (37-XX) 330 Ordinary differential equations (34-XX) 250 Biology and other natural sciences (92-XX) 234 Numerical analysis (65-XX) 142 Special functions (33-XX) 105 Partial differential equations (35-XX) 103 Operator theory (47-XX) 102 Combinatorics (05-XX) 99 Number theory (11-XX) 89 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 86 Real functions (26-XX) 86 Systems theory; control (93-XX) 70 Probability theory and stochastic processes (60-XX) 49 Functions of a complex variable (30-XX) 48 General topology (54-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 25 General and overarching topics; collections (00-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 19 Mechanics of particles and systems (70-XX) 19 Operations research, mathematical programming (90-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Computer science (68-XX) 14 Sequences, series, summability (40-XX) 14 Functional analysis (46-XX) 13 Integral equations (45-XX) 13 Information and communication theory, circuits (94-XX) 11 Measure and integration (28-XX) 10 History and biography (01-XX) 9 Field theory and polynomials (12-XX) 9 Statistics (62-XX) 8 Differential geometry (53-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Approximations and expansions (41-XX) 7 Abstract harmonic analysis (43-XX) 7 Quantum theory (81-XX) 6 Integral transforms, operational calculus (44-XX) 6 Mechanics of deformable solids (74-XX) 5 Convex and discrete geometry (52-XX) 5 Manifolds and cell complexes (57-XX) 5 Fluid mechanics (76-XX) 4 Potential theory (31-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Commutative algebra (13-XX) 3 Algebraic topology (55-XX) 3 Optics, electromagnetic theory (78-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Relativity and gravitational theory (83-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX)

#### Citations contained in zbMATH Open

1,646 Publications have been cited 12,488 times in 7,039 Documents Cited by Year
Planar competitive and cooperative difference equations. Zbl 0907.39004
Smith, H. L.
1998
Two-point boundary value problems for finite fractional difference equations. Zbl 1215.39002
Atıcı, Ferhan M.; Eloe, Paul W.
2011
First and second order linear dynamic equations on time scales. Zbl 0993.39010
Bohner, Martin; Peterson, Allan
2001
Some discrete competition models and the competitive exclusion principle. Zbl 1071.39005
Cushing, J. M.; Levarge, Sheree; Chitnis, Nakul; Henson, Shandelle M.
2004
Solutions to second-order three-point problems on time scales. Zbl 1021.34011
Anderson, Douglas R.
2002
Dynamic consistency: a fundamental principle for constructing nonstandard finite difference schemes for differential equations. Zbl 1073.65552
Mickens, Ronald E.
2005
ECO: A methodology for the enumeration of combinatorial objects. Zbl 0944.05005
Barcucci, Elena; Del Lungo, Alberto; Pergola, Elisa; Pinzani, Renzo
1999
A periodically forced Beverton-Holt equation. Zbl 1023.39013
Cushing, J. M.; Henson, Shandelle M.
2002
Global stability of a linear nonautonomous delay difference equation. Zbl 0855.39007
Erbe, L. H.; Xia, H.
1995
Global dynamics of some periodically forced, monotone difference equations. Zbl 1002.39003
Cushing, J. M.; Henson, Shandelle M.
2001
Existence of solutions for a one dimensional $$p$$-Laplacian on time-scales. Zbl 1058.39010
Anderson, Douglas; Avery, Richard; Henderson, Johnny
2004
Nonstandard finite difference schemes for differential equations. Zbl 1010.65032
Mickens, Ronald E.
2002
The basic reproduction number in some discrete-time epidemic models. Zbl 1147.92032
Allen, Linda J. S.; van den Driessche, P.
2008
On a discrete fractional three-point boundary value problem. Zbl 1253.26010
Goodrich, Christopher S.
2012
Nonautonomous Beverton-Holt equations and the Cushing-Henson conjectures. Zbl 1084.39005
Elaydi, Saber; Sacker, Robert J.
2005
The tamed milstein method for commutative stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1262.65008
Wang, Xiaojie; Gan, Siqing
2013
More on Poincaré’s and Perron’s theorems for difference equations. Zbl 1002.39014
Pituk, Mihály
2002
Stability in the first approximation of some Volterra difference equations. Zbl 0907.39012
Kolmanovskii, V. B.; Myshkis, A. D.
1998
Inclusion theorems for nonlinear difference equations with applications. Zbl 1056.39003
Berg, Lothar
2004
Symmetry $$p$$-adic invariant integral on $$\mathbb Z_p$$ for Bernoulli and Euler polynomials. Zbl 1229.11152
Kim, Taekyun
2008
Rational systems in the plane. Zbl 1169.39010
Camouzis, E.; Kulenović, M. R. S.; Ladas, G.; Merino, O.
2009
Allee effects in a discrete-time host-parasitoid model. Zbl 1088.92058
Jang, Sophia R.-J.
2006
On the recursive sequence $$x_{n+1}=p+\frac{x_{n-k}}{x_n}$$. Zbl 1049.39026
DeVault, R.; Kent, C.; Kosmala, W.
2003
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
2011
Two positive solutions of a boundary value problem for difference equations. Zbl 0854.39001
Merdivenci, Ferhan
1995
On impulsive Beverton-holt difference equations and their applications. Zbl 1068.39005
Berezansky, Leonid; Braverman, Elena
2004
Eigenvalue problems for anisotropic discrete boundary value problems. Zbl 1181.47016
Mihăilescu, Mihai; Rădulescu, Vicenţiu; Tersian, Stepan
2009
Complete sum of products of $$(h,q)$$-extension of Euler polynomials and numbers. Zbl 1223.11027
Simsek, Yilmaz
2010
On the use of nonstandard finite difference methods. Zbl 1073.65545
Patidar, Kailash C.
2005
Criterions for absolute continuity on time scales. Zbl 1081.39011
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
2006
Asymptotics for linear difference equations. I: Basic theory. Zbl 0954.39011
Elaydi, S.
1999
Monotone maps: a review. Zbl 1080.37016
Hirsch, M. W.; Smith, Hal
2005
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.
2002
On second-order rational difference equations. II. Zbl 1138.39002
Amleh, A. M.; Camouzis, E.; Ladas, G.
2008
A note on the nonautonomous Beverton-Holt model. Zbl 1084.39007
Kocic, V. L.
2005
Periodicity of some classes of holomorphic difference equations. Zbl 1103.39004
Berg, Lothar; Stević, Stevo
2006
Discrete oscillation. Zbl 1038.39010
Kratz, Werner
2003
Global asymptotic stability in a rational equation. Zbl 1055.39014
Li, Xianyi; Zhu, Deming
2003
Existence and uniqueness of solution to some discrete fractional boundary value problems of order less than one. Zbl 1276.26013
Ferreira, Rui A. C.
2013
Oscillation of a class of delay partial difference equations. Zbl 0856.39015
Zhang, Bing Gen; Liu, Shu Tang; Cheng, Sui Sun
1995
When does local asymptotic stability imply global attractivity in rational equations? Zbl 1105.39001
2006
Global behaviour of a second-order nonlinear difference equation. Zbl 1232.39014
Bajo, Ignacio; Liz, Eduardo
2011
Boundedness character of positive solutions of a max difference equation. Zbl 1116.39001
Berenhaut, Kenneth S.; Foley, John D.; Stević, Stevo
2006
Two $$q$$-difference equations and $$q$$-operator identities. Zbl 1223.39005
Liu, Zhiguo
2010
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.
2000
Asymptotic stability versus exponential stability in linear Volterra difference equations of convolution type. Zbl 0882.39005
Elaydi, Saber; Murakami, Satoru
1996
On a class of difference equations with strong negative feedback. Zbl 0951.39002
Amleh, A. M.; Kruse, N.; Ladas, G.
1999
On the oscillation of second-order half-linear dynamic equations. Zbl 1170.34023
Grace, Said R.; Bohner, Martin; Agarwal, Ravi P.
2009
The dichotomy spectrum for noninvertible systems of linear difference equations. Zbl 1001.39003
Aulbach, Bernd; Siegmund, Stefan
2001
Persistence for stochastic difference equations: a mini-review. Zbl 1258.39010
Schreiber, Sebastian J.
2012
The Goulden-Jackson cluster method: Extensions, applications and implementations. Zbl 0935.05003
Noonan, John; Zeilberger, Doron
1999
Positive solutions of three-point nonlinear discrete second order boundary value problem. Zbl 1056.39024
Ma, Ruyun; Raffoul, Youssef N.
2004
Global behaviours of rational difference equations of orders two and three with quadratic terms. Zbl 1169.39006
Sedaghat, H.
2009
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.
2006
Asymptotic 2-periodic difference equations with diagonally self-invertible responses. Zbl 0963.39020
Karakostas, George
2000
Oscillation theorems for symplectic difference systems. Zbl 1124.39006
Došlý, Ondřej; Kratz, Werner
2007
Fixed point theorem of cone expansion and compression of functional type. Zbl 1013.47019
Anderson, Douglas R.; Avery, Richard I.
2002
Double solutions of impulsive dynamic boundary value problems on a time scale. Zbl 1003.39019
Henderson, Johnny
2002
Oscillation properties of an Emden-Fowler type equation on discrete time scales. Zbl 1038.39009
Akin-Bohner, Elvan; Hoffacker, Joan
2003
Pullback attractors in nonautonomous difference equations. Zbl 0961.39007
Kloeden, Peter E.
2000
Multiple solutions for $$2m$$th order Sturm-Liouville boundary value problems on a measure chain. Zbl 0965.39008
Henderson, Johnny
2000
The concept of spectral dichotomy for linear difference equations. II. Zbl 0880.39009
Aulbach, Bernd; Nguyen Van Minh
1996
Chaos of time-varying discrete dynamical systems. Zbl 1173.37032
Shi, Yuming; Chen, Guanrong
2009
Positive solutions for systems of nonlinear discrete boundary value problems. Zbl 1185.39003
Henderson, J.; Ntouyas, S. K.; Purnaras, I. K.
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
2012
Extended Hyers-Ulam stability for Cauchy-Jensen mappings. Zbl 1135.39013
Jun, Kil-Woung; Kim, Hark-Mahn; Rassias, John Michael
2007
Oscillation criteria for nonlinear functional neutral dynamic equations on time scales. Zbl 1193.34135
Erbe, Lynn; Hassan, Taher S.; Peterson, Allan
2009
Global stability of cycles Lotka-Volterra competition model with stocking. Zbl 1048.39002
Elaydi, Saber; Yakubu, Abdul-Aziz
2002
Stability and stabilizability for linear systems of difference equations. Zbl 1064.39011
2004
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.
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.
2001
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.
2006
An extension of the non-terminating $$_{6}\phi _{5}$$ summation and the Askey-Wilson polynomials. Zbl 1229.05043
Liu, Zhi-Guo
2011
Li-Yorke chaos in a class of nonautonomous discrete systems. Zbl 1221.37080
Cánovas, Jose S.
2011
Eigenvalue conditions and positive solutions. Zbl 0949.34015
Erbe, Lynn; Peterson, Allan
2000
Solving parameterized linear difference equations in terms of indefinite nested sums and products. Zbl 1087.33011
Schneider, Carsten
2005
$$q$$-analogues of two Ramanujan-type formulas for $$1/\pi$$. Zbl 1444.11036
Guo, Victor J. W.; Liu, Ji-Cai
2018
On semipositone discrete fractional boundary value problems with non-local boundary conditions. Zbl 1282.26008
Goodrich, Christopher S.
2013
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.
2003
On the dynamics of $$x_{n+1}=\frac{\alpha+\gamma x_{n-1}+\delta x_{n-2}}{A+x_{n-2}}$$. Zbl 1050.39003
Camouzis, E.; Ladas, G.; Voulov, H. D.
2003
Systems of semipositone discrete fractional boundary value problems. Zbl 1319.39002
Dahal, Rajendra; Duncan, David; Goodrich, Christopher S.
2014
An extension of Levinson’s theorem to asymptotically Jordan difference equations. Zbl 0855.39003
Elaydi, S.
1995
Difference equations associated with fully nonlinear boundary value problems for second order ordinary differential equations. Zbl 1014.39012
Henderson, Johnny; Thompson, H. B.
2001
On the periodicity of the sequence $$x_{n+1} = \max\{\frac{A_0}{x_n},\frac{A_1}{x_{n-1}},\cdots,\frac{A_k}{x_{n-k}}\}$$. Zbl 0930.39011
Szalkai, István
1999
Uniform asymptotic stability in linear Volterra difference equations. Zbl 0891.39013
Elaydi, S.; Murakami, S.
1998
Existence of three positive pseudo-symmetric solutions for a one dimensional discrete $$p$$-Laplacian. Zbl 1053.39003
Avery, Richard; Henderson, Johnny
2004
On first order impulsive dynamic equations on time scales. Zbl 1054.39012
Benchohra, M.; Henderson, J.; Ntouyas, S. K.; Ouahab, A.
2004
Dynamics of rational difference equations containing quadratic terms. Zbl 1196.39006
Dehghan, M.; Kent, C. M.; Mazrooei-Sebdani, R.; Ortiz, N. L.; Sedaghat, H.
2008
Sufficient conditions for the global stability of nonautonomous higher order difference equations. Zbl 1078.39005
Berezansky, Leonid; Braverman, Elena; Liz, Eduardo
2005
Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales. Zbl 0989.34027
Došlý, Ondřej; Hilscher, Roman
2001
Dichotomy and trichotomy of difference equations. Zbl 0914.39013
Elaydi, S.; Janglajew, K.
1998
Periodically forced nonlinear systems of difference equations. Zbl 0905.39003
Cushing, J. M.
1998
A note on periodic character of a difference equation. Zbl 1057.39005
Stević, Stevo
2004
Invariant curves for planar mappings. Zbl 0891.34070
Ng, C. T.; Zhang, Weinian
1997
Open problems and conjectures. Zbl 1057.39505
2004
Attenuant cycles of population models with periodic carrying capacity. Zbl 1067.92048
Kon, Ryusuke
2005
Convexity for nabla and delta fractional differences. Zbl 1320.39003
Baoguo, Jia; Erbe, Lynn; Peterson, Allan
2015
Asymptotic equivalence for difference equations with infinite delay. Zbl 0923.39004
Elaydi, Saber; Murakami, Satoru; Kamiyama, Etsuyo
1999
Boundary value problems for second-order nonlinear difference equations with discrete $$\phi$$-Laplacian and singular $$\phi$$. Zbl 1161.39003
Bereanu, Cristian; Mawhin, Jean
2008
Some $$q$$-supercongruences for truncated forms of squares of basic hypergeometric series. Zbl 07355093
Li, Long
2021
Orthogonal polynomials, bi-confluent Heun equations and semi-classical weights. Zbl 1465.33009
Wang, Dan; Zhu, Mengkun; Chen, Yang
2020
Gradient stability of high-order BDF methods and some applications. Zbl 1437.65082
Bouchriti, Anass; Pierre, Morgan; Alaa, Nour Eddine
2020
Non-standard finite difference method applied to an initial boundary value problem describing hepatitis B virus infection. Zbl 1436.92016
2020
Asymptotic boundary and nonexistence of traveling waves in a discrete diffusive epidemic model. Zbl 07188820
Wei, Jingdong
2020
A new high accuracy method in exponential form based on off-step discretization for non-linear two point boundary value problems. Zbl 1437.65080
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad; Khurana, Gunjan
2020
On the zero-multiplicity of the $$k$$-generalized Fibonacci sequence. Zbl 1464.11024
García, Jonathan; Gómez, Carlos A.; Luca, Florian
2020
An efficient Mickens’ type NSFD scheme for the generalized Burgers Huxley equation. Zbl 1466.65084
Verma, Amit Kumar; Kayenat, Sheerin
2020
Weakly contractive iterated function systems and beyond: a manual. Zbl 1467.28009
Leśniak, Krzysztof; Snigireva, Nina; Strobin, Filip
2020
Existence of positive strongly decaying solutions of second-order nonlinear $$q$$-difference equations. Zbl 1466.39006
Kostadinov, Katarina S.; Manojlović, Jelena V.
2020
Convex polyominoes revisited: enumeration of outer site perimeter, interior vertices, and boundary vertices of certain degrees. Zbl 1451.05037
Mansour, Toufik; Rastegar, Reza
2020
Renormalized oscillation theory for symplectic eigenvalue problems with nonlinear dependence on the spectral parameter. Zbl 1458.39004
Elyseeva, Julia
2020
Zeros of recursively defined polynomials. Zbl 1456.30010
Heim, Bernhard; Neuhauser, Markus; Tröger, Robert
2020
Asymptotic autonomous attractors for a stochastic lattice model with random viscosity. Zbl 1455.37063
Yang, Shuang; Li, Yangrong
2020
An efficient numerical method for solving Benjamin-Bona-Mahony-Burgers equation using difference scheme. Zbl 1456.65075
Mahboob Dana, Z.; Najafi, H. Saberi; Sheikhani, A. H. Refahi
2020
Pseudo S-asymptotically $$\omega$$-periodic solution for a differential equation with piecewise constant argument in a Banach space. Zbl 1442.34109
Dimbour, William
2020
A matrix approach to some second-order difference equations with sign-alternating coefficients. Zbl 07188819
Anđelić, Milica; Du, Zhibin; da Fonseca, Carlos M.; Kılıç, Emrah
2020
On constrained Volterra cubic stochastic operators. Zbl 1440.37084
Jamilov, U. U.; Reinfelds, Andrejs
2020
About stability of difference equations with square summable level of stochastic perturbations. Zbl 1434.39013
Shaikhet, Leonid
2020
Modeling Wolbachia infection in mosquito population via discrete dynamical models. Zbl 07143857
Yu, Jianshe; Zheng, Bo
2019
Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial. Zbl 1426.33048
Guo, Victor J. W.; Schlosser, Michael J.
2019
A note on global stability of three-dimensional Ricker models. Zbl 1406.37063
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei
2019
A $$q$$-analogue of a curious supercongruence of guillera and zudilin. Zbl 1411.11021
Guo, Victor J. W.
2019
Stability analysis of a general discrete-time pathogen infection model with humoral immunity. Zbl 1423.39024
Elaiw, Ahmed M.; Alshaikh, Matuka A.
2019
On the dynamics of multi-species Ricker models admitting a carrying simplex. Zbl 1429.37010
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei; Yan, Ping
2019
Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or a $$q$$-quadratic lattice. Zbl 07119926
Tcheutia, Daniel Duviol
2019
Persistence and stability analysis of discrete-time predator-prey models: a study of population and evolutionary dynamics. Zbl 1430.92063
Ackleh, Azmy S.; Hossain, Md Istiaq; Veprauskas, Amy; Zhang, Aijun
2019
Answering two open problems on Banks theorem for non-autonomous dynamical systems. Zbl 1435.37037
Wu, Xinxing; Chen, Guanrong
2019
Sharp monotonicity results for fractional nabla sequential differences. Zbl 1422.39022
Goodrich, Christopher S.
2019
Entire solutions of integrodifference equations. Zbl 1414.39007
Zhang, Li; Pan, Shuxia
2019
Stochastic control stabilizing unstable or chaotic maps. Zbl 1411.39009
Braverman, Elena; Rodkina, Alexandra
2019
A difference equation approach for analysing a batch service queue with the batch renewal arrival process. Zbl 1411.90087
Barbhuiya, F. P.; Gupta, U. C.
2019
Multiple solutions for nonlinear functional difference equations by the invariant sets of descending flow. Zbl 1428.39010
Long, Yuhua; Wang, Shaohong
2019
Mixed order monotonicity results for sequential fractional nabla differences. Zbl 1421.39006
Dahal, Rajendra; Goodrich, Christopher S.
2019
On nonlinear boundary value problems in the discrete setting. Zbl 1423.34022
Freedman, Benjamin; Rodríguez, Jesús
2019
On the global behaviour of May’s host-parasitoid model. Zbl 07061206
Jamieson, William T.
2019
High accuracy two-level implicit compact difference scheme for 1D unsteady biharmonic problem of first kind: application to the generalized Kuramoto-Sivashinsky equation. Zbl 1417.65153
Mohanty, R. K.; Kaur, Deepti
2019
Gauss’s theorem and harmonic number summation formulae with certain mathematical constants. Zbl 1410.33023
Liu, Hongmei; Wang, Weiping
2019
Discrete semi-classical orthogonal polynomials of class one on quadratic lattices. Zbl 1407.33013
Filipuk, G.; Rebocho, M. N.
2019
Stochastic sensitivity of attractors for a piecewise smooth neuron model. Zbl 1427.39010
Belyaev, Alexander; Ryazanova, Tatyana
2019
Propagation thresholds of competitive integrodifference systems. Zbl 1428.35072
Pan, Shuxia; Lin, Guo; Wang, Jingxuan
2019
Equicontinuous dendrite flows. Zbl 1435.37063
Su, Guangwang; Qin, Bin
2019
The construction of high order convergent look-ahead finite difference formulas for Zhang neural networks. Zbl 1425.65207
Uhlig, Frank
2019
Discretized fast-slow systems near pitchfork singularities. Zbl 1436.37062
Arcidiacono, Luca; Engel, Maximilian; Kuehn, Christian
2019
Generating functions for vector partition functions and a basic recurrence relation. Zbl 1423.05017
Lyapin, Alexander P.; Chandragiri, Sreelatha
2019
Existence of positive solutions for a system of semipositone coupled discrete boundary value problems. Zbl 1422.39012
Henderson, Johnny; Luca, Rodica
2019
Periodic structure of transversal maps on sum-free products of spheres. Zbl 1416.37025
Llibre, Jaume; Sirvent, Víctor F.
2019
Chaotification schemes of first-order partial difference equations via sine functions. Zbl 1423.39012
Liang, Wei; Zhang, Zihan
2019
Counting $$1\times 2$$ rectangles in set partitions. Zbl 1415.05010
Cakić, Nenad; Mansour, Toufik; Shabani, Armend S.
2019
A note on homoclinic solutions of $$(p,q)$$-Laplacian difference equations. Zbl 1411.34040
Nastasi, Antonella; Vetro, Calogero
2019
Spectral graph wavelet optimized finite difference method for solution of Burger’s equation with different boundary conditions. Zbl 1417.65155
Sharma, Deepika; Goyal, Kavita
2019
Improved iterative oscillation tests in difference equations with several arguments. Zbl 1407.39001
Chatzarakis, George E.; Pašić, Mervan
2019
On the stability of Micken’s type NSFD schemes for generalized Burgers Fisher equation. Zbl 1429.65186
Kumar Verma, Amit; Kayenat, Sheerin
2019
Furstenberg family and multi-sensitivity in non-autonomous systems. Zbl 1435.37036
2019
Gronwall’s inequality for a nabla fractional difference system with a retarded argument and an application. Zbl 1429.39004
Chen, Churong; Mert, Raziye; Jia, Baoguo; Erbe, Lynn; Peterson, Allan
2019
Fashion cycle dynamics induced by agents’ heterogeneity for generic bell-shaped attractiveness functions. Zbl 1436.37100
2019
Evaluations of sums involving harmonic numbers and binomial coefficients. Zbl 1436.40003
Wang, Weiping; Xu, Ce
2019
Attenuation in the almost periodic Beverton-Holt equation. Zbl 1416.39006
2019
A note on $$\mathcal{F}$$-sensitivity for non-autonomous systems. Zbl 1423.37018
2019
Compact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations. Zbl 1419.65092
Mohanty, R. K.; Manchanda, Geetan; Khan, Arshad
2019
Global stability for the 2-dimensional logistic map. Zbl 1411.39008
Dudás, János
2019
On the growth rate inequality for periodic points in the two sphere. Zbl 1450.37019
Honorato, Gerardo; Iglesias, Jorge; Portela, Aldo; Rovella, Alvaro; Valenzuela, Francisco; Xavier, Juliana
2019
Discrete Dirac systems on the semiaxis: rational reflection coefficients and Weyl functions. Zbl 1411.39004
Fritzsche, B.; Kirstein, B.; Roitberg, I. Ya.; Sakhnovich, A. L.
2019
Decreasing case on characteristic endpoints question for iterative roots of PM functions. Zbl 1411.39012
Li, Lin; Liu, Liu
2019
Qualitative structures of a degenerate fixed point of a Ricker competition model. Zbl 1411.37022
Zhang, Jun; Zhong, Jiyu
2019
On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind. Zbl 1407.33012
da Rocha, Zélia
2019
Chain recurrent points of monotone graph maps and CR-Pm property on local dendrites. Zbl 1406.37021
2019
A discrete dynamics approach to sparse calculation and applied in ontology science. Zbl 1430.68331
Gao, Wei; Zhang, Yunqing; Guirao, Juan L. G.; Chen, Yaojun
2019
Visibility graphs of fractional Wu-Baleanu time series. Zbl 1429.37046
Conejero, J. Alberto; Lizama, Carlos; Mira-Iglesias, Ainara; Rodero, Cristóbal
2019
Recurrence in non-autonomous dynamical systems. Zbl 07143849
Cavro, Jakub
2019
A quantitative study on average number of spins of two-player Dreidel. Zbl 1431.91068
Thanatipanonda, Thotsaporn (Aek)
2019
Existence of local solutions for fractional difference equations with Dirichlet boundary conditions. Zbl 1427.39002
Henderson, Johnny
2019
Lyapunov inequalities for nabla Caputo boundary value problems. Zbl 1421.39007
Ikram, Areeba
2019
Comparison of Green’s functions for a family of boundary value problems for fractional difference equations. Zbl 1431.39002
Eloe, Paul W.; Kublik, Catherine M.; Neugebauer, Jeffrey T.
2019
A generalized $$h$$-fractional Gronwall’s inequality and its applications for nonlinear $$h$$-fractional difference systems with ‘maxima’. Zbl 1421.39002
Liu, Xiang; Peterson, Allan; Jia, Baoguo; Erbe, Lynn
2019
An application of a nonstandard cone to discrete boundary value problems with unbounded indefinite forcing. Zbl 1454.39018
Dahal, Rajendra; Goodrich, Christopher S.
2019
$$q$$-analogues of two Ramanujan-type formulas for $$1/\pi$$. Zbl 1444.11036
Guo, Victor J. W.; Liu, Ji-Cai
2018
Counting corners in compositions and set partitions presented as bargraphs. Zbl 1390.05014
Mansour, Toufik; Shabani, Armend Sh.; Shattuck, Mark
2018
WZ pairs and $$q$$-analogues of Ramanujan series for $$1/\pi$$. Zbl 1405.11021
Guillera, Jesús
2018
Some supercongruences involving $$\binom{2k}{k}^4$$. Zbl 1440.11004
Wang, Su-Dan
2018
Lyapunov direct method for investigating stability of nonstandard finite difference schemes for metapopulation models. Zbl 1386.37022
Dang, Quang A; Hoang, Manh Tuan
2018
The global asymptotic stability of a system of difference equations. Zbl 1391.39021
Gümüş, Mehmet
2018
A higher order difference method for singularly perturbed parabolic partial differential equations. Zbl 1427.65156
Das, Pratibhamoy
2018
Upper semicontinuity of random attractors of stochastic discrete complex Ginzburg-Landau equations with time-varying delays in the delay. Zbl 1405.39002
Li, Dingshi; Shi, Lin
2018
Invariant curves for planar competitive and cooperative maps. Zbl 1391.39022
Kulenović, M. R. S.; Merino, O.
2018
Terminating $$_3F_2(4)$$-series extended with three integer parameters. Zbl 1401.33008
Chen, Xiaojing; Chu, Wenchang
2018
Iterative learning control for linear discrete delay systems via discrete matrix delayed exponential function approach. Zbl 1405.39001
Liang, Chengbin; Wang, JinRong; Shen, Dong
2018
Existence of solutions to a discrete fourth order boundary value problem. Zbl 1391.39006
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju; Wang, Min
2018
Forbidden sets and stability in some rational difference equations. Zbl 1404.39013
Abo-Zeid, R.
2018
Datko-Pazy conditions for nonuniform exponential stability. Zbl 1425.37038
Dragičević, Davor
2018
Super congruences for two Apéry-like sequences. Zbl 1446.11007
Sun, Zhi-Hong
2018
Laguerre-Freud equations for generalized Hahn polynomials of type I. Zbl 1391.39018
Dominici, Diego
2018
Minimal wave speed of a competition integrodifference system. Zbl 1395.35068
Li, Luping; Kang, Shugui; Kong, Lili; Chen, Huiqin
2018
Global diffeomorphism theorem applied to the solvability of discrete and continuous boundary value problems. Zbl 1391.34050
Bełdziński, Michał; Galewski, Marek
2018
Some supercongruences on truncated $$_3F_2$$ hypergeometric series. Zbl 1435.11009
Liu, Ji-Cai
2018
Peak effects in stable linear difference equations. Zbl 1403.39002
Polyak, B. T.; Shcherbakov, P. S.; Smirnov, G.
2018
On the boundedness of solutions of a class of third-order rational difference equations. Zbl 1402.39002
Huang, Ying Sue; Knopf, Peter M.
2018
On $$d$$-orthogonal polynomials of Sheffer type. Zbl 1405.33011
2018
The $$C^1$$ property of convex carrying simplices for three-dimensional competitive maps. Zbl 1401.37033
Mierczyński, Janusz
2018
A study on ILC for linear discrete systems with single delay. Zbl 1426.39002
Liang, Chengbin; Wang, Jinrong; Fečkan, Michal
2018
...and 1412 more Documents
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#### Cited by 6,108 Authors

 144 Stević, Stevo 74 Agarwal, Ravi P. 59 Kulenović, Mustafa R. S. 54 Henderson, Johnny Lee 50 Bohner, Martin J. 46 Ladas, Gerasimos E. 46 Šimon Hilscher, Roman 46 Sun, Taixiang 44 Elaydi, Saber Nasr 41 Goodrich, Christopher S. 39 Li, Wan-Tong 39 Xi, Hongjian 37 Diblík, Josef 37 Kim, Taekyun 37 O’Regan, Donal 35 Anderson, Douglas Robert 35 Macías-Díaz, Jorge Eduardo 35 Mansour, Toufik 35 Shi, Yuming 35 Wong, Patricia J. Y. 34 Papaschinopoulos, Garyfalos 34 Saker, Samir H. 32 Kloeden, Peter Eris 31 Camouzis, Elias 31 Kim, Dae San 31 Li, Tongxing 30 Iričanin, Bratislav D. 30 Pötzsche, Christian 29 Erbe, Lynn Harry 29 Guo, Victor J. W. 29 Sedaghat, Hassan 28 Din, Qamar 28 Shi, Haiping 27 Braverman, Elena 27 Jang, Sophia R.-J. 27 Peterson, Allan C. 27 Yu, Jian-She 26 Cushing, Jim M. 26 Došlý, Ondřej 26 Mickens, Ronald Elbert 26 Pinto, Manuel 26 Schinas, Christos J 25 Yakubu, Abdul-Aziz 24 Cuevas, Claudio 24 Ge, Weigao 24 Kong, Lingju 24 Sacker, Robert J. 23 Dehghan Takht Fooladi, Mehdi 23 Luca, Rodica 23 Marcellán Español, Francisco 23 Zhang, Binggen 22 Chu, Wenchang 22 Ding, Xiaohua 22 Liu, Xia 22 Oprocha, Piotr 22 Park, Choonkil 22 Schmeidel, Ewa L. 22 Sun, Shurong 21 Cima, Anna 21 Galewski, Marek 21 Gasull, Armengol 21 Jia, Baoguo 21 Li, Xianyi 21 Mazrooei-Sebdani, Reza 21 Rodkina, Alexandra 21 Šmarda, Zdeněk 21 Tisdell, Christopher C. 21 Zhou, Zhan 20 Grace, Said Rezk 20 Liz, Eduardo 20 Lizama, Carlos 20 Mañosa, Víctor 20 Medina, Rigoberto 20 Sasu, Bogdan 20 Tang, Xianhua 20 Zhang, Weinian 20 Zhang, Yuanbiao 19 Cao, Jian 19 Chow, Yunshyong 19 Graef, John R. 19 Lubuma, Jean Mbaro-Saman 19 Ma, Ruyun 19 Raffoul, Youssef Naim 19 Řehák, Pavel 19 Rinaldi, Simone 19 Teng, Zhi-dong 19 Zeidan, Vera Michel 18 Čermák, Jan 18 Cheng, Sui Sun 18 Elsayed, Elsayed Mohammed 18 Pituk, Mihály 18 Sasu, Adina Luminiţa 18 Sun, Hongrui 18 Yang, Xiaofan 17 Abramov, Sergeĭ Aleksandrovich 17 Băleanu, Dumitru I. 17 Berenhaut, Kenneth S. 17 Foupouagnigni, Mama 17 Han, Zhenlai 17 He, Zhimin ...and 6,008 more Authors
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#### Cited in 560 Journals

 973 Journal of Difference Equations and Applications 425 Advances in Difference Equations 379 Journal of Mathematical Analysis and Applications 349 Applied Mathematics and Computation 233 Computers & Mathematics with Applications 204 Discrete Dynamics in Nature and Society 185 Abstract and Applied Analysis 171 Journal of Computational and Applied Mathematics 124 Applied Mathematics Letters 118 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 113 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 83 Journal of Biological Dynamics 80 Discrete and Continuous Dynamical Systems. Series B 70 Journal of Differential Equations 66 Chaos, Solitons and Fractals 64 Mathematical and Computer Modelling 61 Journal of Applied Mathematics and Computing 58 Mathematical Methods in the Applied Sciences 57 Qualitative Theory of Dynamical Systems 47 Journal of Mathematical Biology 46 Proceedings of the American Mathematical Society 45 Linear Algebra and its Applications 45 Discrete and Continuous Dynamical Systems 41 Results in Mathematics 36 Nonlinear Dynamics 35 Applied Numerical Mathematics 34 Mathematical Biosciences 34 Journal of Inequalities and Applications 34 Journal of Nonlinear Science and Applications 33 Mediterranean Journal of Mathematics 32 Chaos 31 Communications in Nonlinear Science and Numerical Simulation 30 Rocky Mountain Journal of Mathematics 29 Integral Transforms and Special Functions 29 Boundary Value Problems 28 The Ramanujan Journal 28 Nonlinear Analysis. Real World Applications 28 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 27 Physica D 27 Differential Equations and Dynamical Systems 26 Ergodic Theory and Dynamical Systems 23 Bulletin of Mathematical Biology 23 Mathematics and Computers in Simulation 23 Journal of Applied Mathematics 23 International Journal of Biomathematics 22 Transactions of the American Mathematical Society 22 Aequationes Mathematicae 22 Turkish Journal of Mathematics 22 Acta Mathematica Sinica. English Series 22 Journal of Theoretical Biology 21 Discrete Mathematics 21 Advances in Applied Mathematics 21 Journal of Function Spaces 20 Applicable Analysis 20 Journal of Mathematical Physics 20 International Journal of Mathematics and Mathematical Sciences 20 Theoretical Computer Science 20 Journal of Dynamics and Differential Equations 19 Theoretical Population Biology 19 Topology and its Applications 19 Journal of Mathematical Sciences (New York) 19 Computational and Applied Mathematics 19 Mathematical Problems in Engineering 18 Fractional Calculus & Applied Analysis 18 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 17 Journal of the Franklin Institute 17 Automatica 17 Journal of Symbolic Computation 17 Numerical Algorithms 16 Mathematische Nachrichten 16 Applied Mathematical Modelling 16 Dynamical Systems 16 Mathematical Biosciences and Engineering 15 Nonlinearity 15 Numerical Functional Analysis and Optimization 15 International Journal of Computer Mathematics 15 International Journal of Differential Equations 15 Journal of Applied Analysis and Computation 14 Journal of Approximation Theory 14 Systems & Control Letters 14 Acta Applicandae Mathematicae 14 Mathematical Sciences 13 Discrete Applied Mathematics 13 Journal of Combinatorial Theory. Series A 13 Journal of Mathematical Economics 13 Automation and Remote Control 13 Stochastic Processes and their Applications 13 Indagationes Mathematicae. New Series 13 Russian Mathematics 13 Positivity 13 Science China. Mathematics 13 Symmetry 12 Bulletin of the Australian Mathematical Society 12 International Journal of Control 12 Quaestiones Mathematicae 12 Opuscula Mathematica 12 Annals of Combinatorics 12 Communications on Pure and Applied Analysis 12 Nonautonomous Dynamical Systems 12 Open Mathematics ...and 460 more Journals
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#### Cited in 62 Fields

 3,136 Difference and functional equations (39-XX) 1,750 Ordinary differential equations (34-XX) 1,411 Dynamical systems and ergodic theory (37-XX) 929 Biology and other natural sciences (92-XX) 719 Numerical analysis (65-XX) 469 Operator theory (47-XX) 416 Partial differential equations (35-XX) 360 Special functions (33-XX) 321 Systems theory; control (93-XX) 308 Combinatorics (05-XX) 303 Number theory (11-XX) 298 Real functions (26-XX) 296 Probability theory and stochastic processes (60-XX) 223 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 153 Functions of a complex variable (30-XX) 126 Computer science (68-XX) 122 General topology (54-XX) 119 Integral equations (45-XX) 113 Calculus of variations and optimal control; optimization (49-XX) 111 Harmonic analysis on Euclidean spaces (42-XX) 106 Linear and multilinear algebra; matrix theory (15-XX) 86 Functional analysis (46-XX) 74 Global analysis, analysis on manifolds (58-XX) 66 Operations research, mathematical programming (90-XX) 62 Mechanics of particles and systems (70-XX) 48 Quantum theory (81-XX) 46 Approximations and expansions (41-XX) 41 Fluid mechanics (76-XX) 39 Measure and integration (28-XX) 37 Sequences, series, summability (40-XX) 33 Mechanics of deformable solids (74-XX) 27 Statistical mechanics, structure of matter (82-XX) 27 Information and communication theory, circuits (94-XX) 24 Integral transforms, operational calculus (44-XX) 23 Statistics (62-XX) 22 Algebraic geometry (14-XX) 20 Several complex variables and analytic spaces (32-XX) 19 Abstract harmonic analysis (43-XX) 19 Differential geometry (53-XX) 17 Field theory and polynomials (12-XX) 15 General and overarching topics; collections (00-XX) 14 Commutative algebra (13-XX) 13 Group theory and generalizations (20-XX) 13 Convex and discrete geometry (52-XX) 12 Manifolds and cell complexes (57-XX) 12 Classical thermodynamics, heat transfer (80-XX) 9 Mathematical logic and foundations (03-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Nonassociative rings and algebras (17-XX) 8 Topological groups, Lie groups (22-XX) 7 Associative rings and algebras (16-XX) 6 History and biography (01-XX) 5 Potential theory (31-XX) 5 Algebraic topology (55-XX) 5 Relativity and gravitational theory (83-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 2 $$K$$-theory (19-XX) 2 Geometry (51-XX) 2 Astronomy and astrophysics (85-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX)