Existence and uniqueness of periodic solutions for a kind of Rayleigh equation with finitely many deviating arguments

2010 ◽  
Vol 73 (2) ◽  
pp. 358-366 ◽  
Author(s):  
Ali Sırma ◽  
Cemil Tunç ◽  
Semih Özlem
Keyword(s):  
Periodic Solutions ◽  
Existence And Uniqueness ◽  
Rayleigh Equation ◽  
Deviating Arguments

scholarly journals Periodic Solutions and Nontrivial Periodic Solutions for a Class of Rayleigh-Type Equation with Two Deviating Arguments

2013 ◽  
Vol 2013 ◽  
pp. 1-7
Author(s):  
Meiqiang Feng
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Periodic Solutions ◽  
Point Theorem ◽  
Type Equation ◽  
Index Theorem ◽  
Rayleigh Equation ◽  
Deviating Arguments ◽  
Nontrivial Periodic Solutions ◽  
Existence Of Periodic Solutions

The Rayleigh equation with two deviating argumentsx′′(t)+f(x'(t))+g1(t,x(t-τ1(t)))+g2(t,x(t-τ2(t)))=e(t)is studied. By using Leray-Schauder index theorem and Leray-Schauder fixed point theorem, we obtain some new results on the existence of periodic solutions, especially for the existence of nontrivial periodic solutions to this equation. The results are illustrated with two examples, which cannot be handled using the existing results.

scholarly journals Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays

2017 ◽  
Vol 2017 ◽  
pp. 1-7
Author(s):  
Na Wang
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Functional Differential Equation ◽  
Existence And Uniqueness ◽  
Coincidence Degree ◽  
Second Order ◽  
Neutral Functional Differential Equation ◽  
Deviating Arguments ◽  
Functional Differential

We consider a kind of second-order neutral functional differential equation. On the basis of Mawhin’s coincidence degree, the existence and uniqueness of periodic solutions are proved. It is indicated that the result is related to the deviating arguments. Moreover, we present two simulations to demonstrate the validity of analytical conclusion.

scholarly journals New results on the periodic solutions for a kind of Rayleigh equation with two deviating arguments

2007 ◽  
Vol 46 (5-6) ◽  
pp. 604-611 ◽  
Author(s):  
Chuangxia Huang ◽  
Yigang He ◽  
Lihong Huang ◽  
Wen Tan
Keyword(s):  
Periodic Solutions ◽  
Rayleigh Equation ◽  
Deviating Arguments

Periodic solutions for a kind of Rayleigh equation with two deviating arguments

2006 ◽  
Vol 343 (7) ◽  
pp. 676-687 ◽  
Author(s):  
Lequn Peng ◽  
Bingwen Liu ◽  
Qiyuan Zhou ◽  
Lihong Huang
Keyword(s):  
Periodic Solutions ◽  
Rayleigh Equation ◽  
Deviating Arguments
Sign in / Sign up

Export Citation Format

Share Document