Existence of Nonoscillatory Solutions of Higher-Order Neutral Differential Equations with Distributed Coefficients and Delays

Neutral Differential Equations

We consider the existence of nonoscillatory solutions of higher-order neutral differential equations with distributed coefficients. We use theBanachcontraction principle to obtain new sufficient condition for the existence of nonoscillatory solutions.

Existence of Nonoscillatory Solutions for System of Higher-Order Neutral Differential Equations with Distributed Deviating Arguments

Discrete Dynamics in Nature and Society ◽

10.1155/2013/391973 ◽

2013 ◽

Vol 2013 ◽

pp. 1-8 ◽

Cited By ~ 1

Author(s):

Youjun Liu ◽

Jianwen Zhang ◽

Jurang Yan

Keyword(s):

Differential Equations ◽

Sufficient Conditions ◽

Variable Coefficients ◽

Higher Order ◽

Contraction Principle ◽

Deviating Arguments ◽

Distributed Deviating Arguments

In this paper, we consider the existence of nonoscillatory solutions for system of variable coefficients higher-order neutral differential equations with distributed deviating arguments. We use theBanachcontraction principle to obtain new sufficient conditions for the existence of nonoscillatory solutions.

Existence for nonoscillatory solutions of higher order nonlinear neutral differential equations

Czechoslovak Mathematical Journal ◽

10.1007/s10587-005-0018-9 ◽

2005 ◽

Vol 55 (1) ◽

pp. 237-253 ◽

Cited By ~ 4

Author(s):

Yong Zhou ◽

B. G. Zhang ◽

Y. Q. Huang

Keyword(s):

Differential Equations ◽

Higher Order ◽

Neutral Differential Equations

EXISTENCE OF NONOSCILLATORY SOLUTIONS OF HIGHER ORDER NONLINEAR MIXED NEUTRAL DIFFERENTIAL EQUATIONS

Dynamic Systems and Applications ◽

10.12732/dsa.v27i4.4 ◽

2018 ◽

Vol 27 (4) ◽

Author(s):

T. CANDAN

Keyword(s):

Differential Equations ◽

Higher Order ◽

Neutral Differential Equations

Existence of nonoscillatory solutions of higher order neutral differential equations

Filomat ◽

10.2298/fil1608147c ◽

2016 ◽

Vol 30 (8) ◽

pp. 2147-2153 ◽

Cited By ~ 1

Author(s):

T. Candan

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Differential Equations ◽

Point Theorem ◽

Sufficient Conditions ◽

Higher Order ◽

Deviating Arguments ◽

Distributed Deviating Arguments

This article is concerned with nonoscillatory solutions of higher order nonlinear neutral differential equations with deviating and distributed deviating arguments. By using Knaster-Tarski fixed point theorem, new sufficient conditions are established. Illustrative example is given to show applicability of results.

Existence of nonoscillatory solutions of higher-order neutral differential equations with positive and negative coefficients

Applied Mathematics Letters ◽

10.1016/s0893-9659(02)00055-1 ◽

2002 ◽

Vol 15 (7) ◽

pp. 867-874 ◽

Cited By ~ 26

Author(s):

Yong Zhou ◽

B.G. Zhang

Keyword(s):

Differential Equations ◽

Higher Order ◽

Positive And Negative Coefficients

Existence of nonoscillatory solutions of higher order neutral differential equations with distributed deviating arguments

Mathematica Slovaca ◽

10.2478/s12175-012-0091-0 ◽

2013 ◽

Vol 63 (1) ◽

Cited By ~ 6

Author(s):

T. Candan ◽

R. Dahiya

Keyword(s):

Differential Equations ◽

Variable Coefficient ◽

Sufficient Conditions ◽

Higher Order ◽

Deviating Arguments ◽

Distributed Deviating Arguments ◽

Banach Contraction ◽

The Banach Contraction Principle

AbstractIn this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order linear neutral differential equations with distributed deviating arguments. We use the Banach contraction principle to obtain new sufficient conditions, which are weaker than those known, for the existence of nonoscillatory solutions.