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Balasubramaniam, P. (ed.) et al., Mathematical modelling and scientific computation. Proceedings of the 2nd international conference, ICMMSC 2012, Gandhigram, Tamil Nadu, India, March 16–18, 2012. Berlin: Springer. Commun. Comput. Inf. Sci. 283, 403-412 (2012).

MSC: 26D15 26A33 39A10

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Li, Wenjin; Fei, Yupeng; Shan, Biaoan; Pang, Yanni

Positive solutions of a singular semipositone boundary value problems for fourth-order coupled difference equations. (English) Zbl 1388.39005

Adv. Difference Equ. 2012, Paper No. 97, 17 p. (2012).

MSC: 39A14 34B15

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Gao, Yali; Sun, Yuangong; Zha, Bin; Liu, Hongshuang

Forced oscillation of higher-order nonlinear neutral difference equations with positive and negative coefficients. (English) Zbl 1346.39002

Adv. Difference Equ. 2012, Paper No. 110, 12 p. (2012).

MSC: 39A10

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Deekshitulu, Gunturu Venkata Sita Rama; Mohan, Jonnalagadda Jagan

Some new fractional difference inequalities of Gronwall-Bellman type. (English) Zbl 1277.39003

Math. Sci., Springer 6, Paper No. 69, 9 p. (2012).

MSC: 39A10 39A99

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Wang, Yuan-Ming; Wu, Wen-Jia; Scalia, Massimo

Numerov’s method for a class of nonlinear multipoint boundary value problems. (English) Zbl 1264.65115

Math. Probl. Eng. 2012, Article ID 316852, 29 p. (2012).

MSC: 65L10 65L12 34B10

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Yuhua, Long

Homoclinic orbits for a class of noncoercive discrete Hamiltonian systems. (English) Zbl 1283.37038

J. Appl. Math. 2012, Article ID 720139, 21 p. (2012).

MSC: 37C29 37J45

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Foondun, Mohammud; Khoshnevisan, Davar

An asymptotic theory for randomly forced discrete nonlinear heat equations. (English) Zbl 1260.60119

Bernoulli 18, No. 3, 1042-1060 (2012).

Reviewer: Stanisław Wedrychowicz (Rzeszów)

MSC: 60H15

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El-Metwally, Hamdy; Elsayed, E. M.

Qualitative study of solutions of some difference equations. (English) Zbl 1246.39007

Abstr. Appl. Anal. 2012, Article ID 248291, 16 p. (2012).

MSC: 39A20 39A22 39A23 39A30 65Q10

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Camouzis, E.; Drymonis, E.; Ladas, G.; Tikjha, W.

Patterns of boundedness of the rational system \(x _{n+1} = \alpha _{1} / (A _{1} + B _{1} x _{ n } + C _{1} y _{ n })\) and \(y _{n+1} = (\alpha _{2} + \beta _{2} x _{ n } + \gamma _{2} y _{ n }) / (A _{2} + B _{2} x _{ n } + C _{2} y _{ n })\). (English) Zbl 1242.39022

J. Difference Equ. Appl. 18, No. 1, 89-110 (2012).

Reviewer: Yuming Chen (Waterloo)

MSC: 39A22 39A20

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Tripathy, A. K.; Panigrahi, S.

On the oscillatory behaviour of a class of nonlinear delay difference equations of second order. (English) Zbl 1308.39013

Indian J. Pure Appl. Math. 42, No. 1, 27-40 (2011).

MSC: 39A21 39A10 39A12 34K40

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Zayed, E. M. E.; El-Moneam, M. A.

On the global attractivity of two nonlinear difference equations. (English. Russian original) Zbl 1290.37007

J. Math. Sci., New York 177, No. 3, 487-499 (2011); translation from Sovrem. Mat. Prilozh. 70 (2011).

MSC: 37B25

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Yuan, Chengjun; Gai, Gongqi; Li, Yunhui

Positive solutions of boundary value problem for singular positone and semi-positone third-order difference equations. (English) Zbl 1273.34028

Adv. Difference Equ. 2011, Paper No. 38, 12 p. (2011).

MSC: 34B15 39A10

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Elabbasy, Elmetwally M.; El-Metwally, Hamdy A.; Elsayed, Elsayed M.

Global behavior of the solutions of some difference equations. (English) Zbl 1271.39008

Adv. Difference Equ. 2011, Paper No. 28, 16 p. (2011).

MSC: 39A20 39A30

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Liu, Xia; Zhang, Yuanbiao; Zheng, Bo; Shi, Haiping

Periodic and subharmonic solutions for second order \(p\)-Laplacian difference equations. (English) Zbl 1258.39006

Proc. Indian Acad. Sci., Math. Sci. 121, No. 4, 457-468 (2011).

MSC: 39A23 39A10 39A12 35J92

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Liu, X.; Shi, H. P.; Zhang, Y. B.

Existence of periodic solutions of second order nonlinear \(p\)-Laplacian difference equations. (English) Zbl 1249.39019

Acta Math. Hung. 133, No. 1-2, 148-165 (2011).

Reviewer: Vladimir Răsvan (Craiova)

MSC: 39A23 39A12 35J92 35B38 39A10

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Adıvar, Murat; Bohner, Elvan Akın

Halanay type inequalities on time scales with applications. (English) Zbl 1271.34091

Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 18, 7519-7531 (2011).

MSC: 34N05 34A40 34D20

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Yuhua, Long

Multiplicity results for periodic solutions with prescribed minimal periods to discrete Hamiltonian systems. (English) Zbl 1298.70028

J. Difference Equ. Appl. 17, No. 10, 1499-1518 (2011).

Reviewer: Fengqin Zhang (Yuncheng)

MSC: 70H05 39A12 39A23

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Berg, Lothar; Stević, Stevo

On the asymptotics of some systems of difference equations. (English) Zbl 1233.39001

J. Difference Equ. Appl. 17, No. 9, 1291-1301 (2011).

Reviewer: Peter Zabreiko (Minsk)

MSC: 39A10 41A60

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Wei, Gengping

Asymptotic behavior results for nonlinear neutral delay difference equations. (English) Zbl 1260.39022

Appl. Math. Comput. 217, No. 17, 7184-7190 (2011).

Reviewer: N. C. Apreutesei (Iaşi)

MSC: 39A22 39A10 39A12 34K40

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Liao, Maoxin; Tang, Xianhua; Xu, Changjin

On the rational difference equation \(x_{n}=1+\frac{(1-x_{n-k})(1-x_{n-l})(1-x_{n-m})}{x_{n-k}+x_{n-l}+x_{n-m}}\). (English) Zbl 1213.39006

J. Appl. Math. Comput. 35, No. 1-2, 63-71 (2011).

Reviewer: Lothar Berg (Rostock)

MSC: 39A10 40A05

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Found 257 Documents (Results 1–100)

Periodic solutions for a second-order partial difference equation. (English) Zbl 07676680

Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green’s function. (English) Zbl 1505.39010

Analytical solution of a rational difference equation. (English) Zbl 1490.39019

Stability criteria for nonlinear Volterra integro-dynamic matrix Sylvester systems on measure chains. (English) Zbl 1494.45003

Periodic solutions for second-order difference equations with quadratic-supquadratic condition. (English) Zbl 1494.39015

Existence of two homoclinic solutions for a nonperiodic difference equation with a perturbation. (English) Zbl 1484.39011

Three solutions for a partial discrete Dirichlet boundary value problem with \(p\)-Laplacian. (English) Zbl 1487.39022

On a third-order fuzzy difference equation. (English) Zbl 1484.39012

Dynamics of a higher order nonlinear rational difference equation. (English) Zbl 1483.39004

On solvability of a system of three difference equations. (English) Zbl 1483.39003

Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-17}}{\pm 1 \pm x_{n-2} x_{n-5} x_{n-8} x_{n-11} x_{n-14} x_{n-17}}\). (English) Zbl 1470.39024

On computing of integer positive powers for one type of tridiagonal and antitridiagonal matrices of even order. (English) Zbl 1474.15024

Some generalized Gronwall-Bellman type difference inequalities and applications. (English) Zbl 1469.39004

Asymptotic dynamics of a class of third order rational difference equations. (English) Zbl 1499.39029

Positive solutions of a discrete second-order boundary value problems with fully nonlinear term. (English) Zbl 1486.39022

A sharp oscillation criterion for a difference equation with constant delay. (English) Zbl 1486.39016

Some new integral inequalities of Wendorff type for discontinuous functions with integral jump conditions. (English) Zbl 1503.26081

On the solutions of a third order rational difference equation. (English) Zbl 1480.39005

Solvability of a system of higher order nonlinear difference equations. (English) Zbl 1488.39017

Discrete fractional Lyapunov-type inequalities in nabla sense. (English) Zbl 1454.39019

Oscillation criteria for higher-order neutral type difference equations. (English) Zbl 1472.39018

On \(q\)-Opial type inequality for quantum integral. (English) Zbl 1499.26064

Fractional difference equations of Volterra type. (English) Zbl 1494.39013

Asymptotically almost periodic mild solutions to a class of Weyl-like fractional difference equations. (English) Zbl 1459.39010

On a fourth order rational difference equation. (English) Zbl 1434.39008

On the new solutions to the fuzzy difference equation \(x_{n + 1} = A + \frac{B}{x_n}\). (English) Zbl 1423.39005

Global behavior of a fourth-order difference equation with quadratic term. (English) Zbl 1412.39002

Strongly irregular periodic solutions of the first-order linear homogeneous discrete equation. (Russian. English summary) Zbl 07655968

Global behavior of a fourth order rational difference equation. (English) Zbl 1447.39007

The condition of the absence of strongly irregular periodic solutions of the system of two linear discrete periodic equations. (Russian. English summary) Zbl 1406.39017

Local dynamics of planar maps with a non-isolated fixed point exhibiting \(1-1\) resonance. (English) Zbl 1446.37042

Extensions of the natural approach to refinements and generalizations of some trigonometric inequalities. (English) Zbl 1445.26015

Philos’ inequality on time scales and its application in the oscillation theory. (English) Zbl 1406.34108

On the solutions of a \((2k+2)\)th order difference equation. (English) Zbl 1383.39004

Comment on “New method to obtain periodic solutions of period two and three of a rational difference equation”. (English) Zbl 1375.39035

Existence of positive solutions for difference systems coming from a model for burglary. (English) Zbl 1424.39005

Solution for rational systems of difference equations of order three. (English) Zbl 1360.39008

Existence and multiplicity of homoclinic solutions for second-order nonlinear difference equations with Jacobi operators. (English) Zbl 1370.39004

Semistability of two systems of difference equations using centre manifold theory. (English) Zbl 1364.39017

Compensation of time-varying input delay for discrete-time nonlinear systems. (English) Zbl 1342.93061

On some new integral inequalities of Gronwall-Bellman-Bihari type with delay for discontinuous functions and their applications. (English) Zbl 1334.26052

Trichotomy of nonoscillatory solutions to second-order neutral difference equation with quasi-difference. (English) Zbl 1422.39005

Oscillation criteria for a class of higher odd order neutral difference equations with continuous variable. (English) Zbl 1422.39038

Discrete fractional diffusion equation. (English) Zbl 1345.65067

Oscillation criteria for nonlinear higher-order forced functional difference equations. (English) Zbl 1326.39008

New method to obtain periodic solutions of period two and three of a rational difference equation. (English) Zbl 1331.39003

Explicit eigenvalues of some perturbed heptadiagonal matrices via recurrent sequences. (English) Zbl 1335.15010

Existence of periodic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian. (English) Zbl 1328.39024

Periodic solutions for fourth-order nonlinear functional difference equations. (English) Zbl 1317.39021

Periodic and subharmonic solutions for second-order nonlinear difference equations. (English) Zbl 1323.39013

Existence of periodic solutions for a class of nonlinear difference equations. (English) Zbl 1317.39020

Solutions and periodicity of a rational recursive sequences of order five. (English) Zbl 1308.39002

Homoclinic orbits of second order nonlinear functional difference equations with Jacobi operators. (English) Zbl 1304.39005

Discrete weighted pseudo asymptotic periodicity of second order difference equations. (English) Zbl 1419.39033

Multiple solutions for the discrete \(p\)-Laplacian boundary value problems. (English) Zbl 1419.39017

Oscillation criteria for delay and difference equations with non-monotone arguments. (English) Zbl 1354.34120

Periodic and subharmonic solutions for a \(2n\)th-order difference equation containing both advance and retardation with \( \phi\)-Laplacian. (English) Zbl 1347.39016

Periodic and subharmonic solutions for fourth-order nonlinear difference equations. (English) Zbl 1334.39018

Oscillatory properties of solutions of the fourth order difference equations with quasidifferences. (English) Zbl 1330.39013

Existence and nonexistence results for a \(2n\)-th order \(p\)-Laplacian discrete Dirichlet boundary value problem. (English) Zbl 1339.39007

Periodic and subharmonic solutions for \(2n\)th-order \(p\)-Laplacian difference equations. (English) Zbl 1320.39016

Multiple periodic solutions to a discrete \(p^{(k)}\)-Laplacian problem. (English) Zbl 1304.39018

Existence of periodic solutions of fourth-order nonlinear difference equations. (English) Zbl 1334.39041

Solutions of nabla fractional difference equations using \(N\)-transforms. (English) Zbl 1383.39005

Solutions of perturbed linear nabla fractional difference equations. (English) Zbl 1301.39001

Representations of solutions, translation formulae and asymptotic behavior in discrete linear systems and periodic continuous linear systems. (English) Zbl 1287.93051

Global behavior of the difference equation \(x_{n+1}=\frac{Ax_{n-1}}{B-Cx_nx_{n-2}}\). (English) Zbl 1413.39027

On the solutions of some nonlinear systems of difference equations. (English) Zbl 1390.39010

On the solutions of two special types of Riccati difference equation via Fibonacci numbers. (English) Zbl 1390.39020

Dynamics of a discrete Lotka-Volterra model. (English) Zbl 1380.39004

Almost automorphic solutions of non-autonomous difference equations. (English) Zbl 1306.39009

Existence theorems of periodic solutions for fourth-order nonlinear functional difference equations. (English) Zbl 1310.39008

Homoclinic orbits of nonlinear functional difference equations with Jacobi operators. (English) Zbl 1302.37017

Periodic and subharmonic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian. (English) Zbl 1284.39016

Permanence in nonautonomous discrete Lotka-Volterra \(n\)-species competitive systems with pure-delays and feedback controls. (English) Zbl 1310.92048

On the logistic equation in the complex plane. (English) Zbl 1281.39011