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Your search keyword '"Nonlinear neutral differential equations"' showing total 5 results
Start Over Descriptor "Nonlinear neutral differential equations" Topic fixed point theory
5 results on '"Nonlinear neutral differential equations"'

1. Stability of nonlinear neutral delay differential equations with variable delays

Author

Guiling Chen, Dingshi Li, Onno van Gaans, and Sjoerd Verduyn Lunel

Subjects
Asymptotic stability, fixed point theory, variable delay, nonlinear neutral differential equations, Mathematics, QA1-939
Abstract

We present new criteria for asymptotic stability of two classes of nonlinear neutral delay differential equations. By using two auxiliary functions on a contraction condition, we extend the results in [12]. Also we give two examples that illustrate our results.

Published
2017

2. Existence of positive periodic solutions for two types of second-order nonlinear neutral di?erential equations with variable delay.

Author

Ardjouni, Abdelouaheb and Djoudi, Ahcene

Subjects
*EXISTENCE theorems, *NONLINEAR theories, *NUMERICAL solutions to differential equations, *MATHEMATICAL variables, *MATHEMATICAL mappings, *FIXED point theory
Abstract

In this article we study the existence of positive periodic solutions for two types of second-order nonlinear neutral differential equation with variable delay. The main tool employed here is the Krasnoselskii's fixed point theorem dealing with a sum of two mappings, one is a contraction and the other is completely continuous. The results obtained here generalize the work of Cheung, Ren and Han [7]. [ABSTRACT FROM AUTHOR]

Published
2013
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3. EXISTENCE OF PERIODIC SOLUTIONS FOR A SECOND ORDER NONLINEAR NEUTRAL DIFFERENTIAL EQUATION WITH FUNCTIONAL DELAY.

Author

ABDELOUAHEB ARDJOUNI and AHCENE DJOUDI

Subjects
*EXISTENCE theorems, *PERIODIC functions, *NONLINEAR difference equations, *DELAY differential equations, *FIXED point theory, *MATHEMATICAL mappings
Abstract

In this article we study the existence of periodic solutions of the second order nonlinear neutral differential equation with functional delay ... x(t) + p(t) ... x(t) + q(t)x³ = ... g(t, x(t - τ (t))) + f(t, x³ (t), x³ (t - τ (t))). The main tool employed here is the Burton-Krasnoselskii's hybrid fixed point theorem dealing with a sum of two mappings, one is a large contraction and the other is compact. [ABSTRACT FROM AUTHOR]

Published
2012

4. Stability of nonlinear neutral delay differential equations with variable delays

Author

Chen, Guiling, Li, Dingshi, Van Gaans, Onno, Verduyn Lunel, Sjoerd, Sub Mathematical Modeling, and Mathematical Modeling

Subjects
Variable delay, Nonlinear neutral differential equations, Asymptotic stability, fixed point theory, lcsh:Mathematics, nonlinear neutral differential equations, Fixed point theory, variable delay, lcsh:QA1-939, Analysis
Abstract

We present new criteria for asymptotic stability of two classes of nonlinear neutral delay differential equations. By using two auxiliary functions on a contraction condition, we extend the results in [12]. Also we give two examples that illustrate our results.

Published
2017

5. Stability of nonlinear neutral delay differential equations with variable delays

Subjects
Variable delay, Asymptotic stability, Nonlinear neutral differential equations, Fixed point theory, Analysis
Abstract

We present new criteria for asymptotic stability of two classes of nonlinear neutral delay differential equations. By using two auxiliary functions on a contraction condition, we extend the results in [12]. Also we give two examples that illustrate our results.

Published
2017

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