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Your search keyword '"Nonlinear neutral differential equations"' showing total 7 results
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7 results on '"Nonlinear neutral differential equations"'

1. Existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable delay

Author

Ardjouni Abdelouaheb, Rezaiguia Ali, and Djoudi Ahcene

Subjects
positive periodic solutions, nonlinear neutral differential equations, fixed point theorem, 34k13, 34a34, 34k30, 34l30, Analysis, QA299.6-433
Abstract

In this article we study the existence of positive periodic solutions for a fourth-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 one is completely continuous.

Published
2014
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3. Existence of periodic solutions for two types of second-order nonlinear neutral integro-differential equations with infinite distributed mixed-delays

Author

Abdelouaheb Ardjouni, Ahcene Djoudi, and Hocine Gabsi

Subjects
Matematik, Differential equation, Nonlinear neutral differential equations, Periodic solutions, Fixed point theorem, Applied Mathematics, lcsh:Mathematics, Fixed-point theorem, Second order,Nonlinear neutral differential equations,Periodic solutions,Fixed point theorem,Distributed delays, Fixed point, lcsh:QA1-939, Integral equation, Nonlinear system, Applied mathematics, Order (group theory), Distributed delays, Analysis, Mathematics, Second order
Abstract

We consider two types of second-order neutral functional differential equations with infinite distributed delays and offer existence criteria for periodic solutions. During the process we invert the integro-differential equations into equivalent integral equations and derive suitable fixed point mappings. We show that these mappings fit into the framework of Schauder's fixed point theorem so that periodic solutions are readily obtained.

Published
2018

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. Existence of positive periodic solutions for fourth-order nonlinear neutral differential equations with variable delay

Author

Ali Rezaiguia, Abdelouaheb Ardjouni, and Ahcene Djoudi

Subjects
QA299.6-433, Mathematical analysis, nonlinear neutral differential equations, fixed point theorem, 34k30, 34l30, positive periodic solutions, 34a34, Nonlinear system, Fourth order, 34k13, Neutral differential equations, Differential algebraic equation, Analysis, Variable (mathematics), Mathematics
Abstract

In this article we study the existence of positive periodic solutions for a fourth-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 one is completely continuous.

Published
2014

6. 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

7. Existence of positive periodic solutions for a second-order nonlinear neutral differential equation with variable delay

Author

Ahcene Djoudi and Abdelouaheb Ardjouni

Subjects
QA299.6-433, Differential equation, nonlinear neutral differential equations, Mathematical analysis, Characteristic equation, fixed point theorem, Fixed-point theorem, positive periodic solutions, Nonlinear system, Order (group theory), Universal differential equation, Analysis, Mathematics, Variable (mathematics)
Abstract

In this article we study the existence of positive periodic solutions of the second-order nonlinear neutral differential equation with variable delay

Published
2013
Full Text
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