Bounded solutions of some systems of nonlinear functional differential equations with iterated deviating argument
type: Item
instance of: scholarly article
title: Bounded solutions of some systems of nonlinear functional differential equations with iterated deviating argument
zbMATH Open document ID: 1261.34048
author: Stevo Stević
published in: Applied Mathematics and Computation
publication date: 2012-09-13T00:00:00Z
review text: The author applies Banach's fixed point theorem to prove the existence of bounded solutions on the real line for a class of systems of nonlinear functional differential equations with iterated deviating arguments.
Mathematics Subject Classification ID: 34K12
zbMATH DE Number: 6081841
zbMATH Keywords: nonlinear functional differential equation
zbMATH Keywords: global bounded solutions
zbMATH Keywords: iterated deviating argument
zbMATH Keywords: existence
reviewed by: Anthony Uyi Afuwape
MaRDI profile type: Publication
full work available at URL: j.amc.2012.03.103
OpenAlex ID: W1986800045
cites work: Asymptotic behavior of solutions of differential-difference equations.
cites work: On the asymptotics of the difference equation y n (1 + y n − 1 … y n − k + 1) = y n − k
cites work: Linear perturbations of a nonoscillatory second-order dynamic equation
cites work: Existence, uniqueness and continuous dependence for hereditary systems
cites work: Retract principle for neutral functional differential equations
cites work: Existence and continuous dependence of solutions of a neutral functional- differential equation
cites work: Existence and Continuous Dependence for a Class of Nonlinear Neutral- Differential Equations
cites work: Theory of functional differential equations. 2nd ed
cites work: On the existence and uniqueness of solutions of a certain integral-functional equation
cites work: Asymptotic properties of the solutions to the second-order difference equation
cites work: ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF DIFFERENCE EQUATIONS OF SECOND ORDER
cites work: Solutions of systems of nonlinear difference equations that are continuous and bounded on the entire real axis and their properties
cites work: On the existence and uniqueness of solutions continuous and bounded on the real axis for nonlinear functional equations
cites work: On stability results for a new approximating fixed points iteration process
cites work: Q4822564
cites work: Approximating fixed points of strongly pseudocontractive mappings by a new iteration method
cites work: Q3410088
cites work: Existence of nontrivial solutions of a rational difference equation
cites work: On the recursive sequence \(x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}\)
cites work: On a nonlinear generalized max-type difference equation
cites work: On a system of difference equations
cites work: On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\)
cites work: Periodicity of a class of nonautonomous max-type difference equations
cites work: On some solvable systems of difference equations
cites work: Unique existence of bounded continuous solutions on the real line of a class of nonlinear functional equations with complicated deviations
cites work: Q5574895
DOI: 10.1016/J.AMC.2012.03.103
description: scientific article; zbMATH DE number 6081841