scholarly journals Periodic solutions for Rayleigh type p-Laplacian equation with deviating arguments

2007 ◽  
Vol 20 (1) ◽  
pp. 43-47 ◽  
Author(s):  
Minggang Zong ◽  
Hongzhen Liang
Keyword(s):  
Periodic Solutions ◽  
Deviating Arguments ◽  
Laplacian Equation

scholarly journals Periodic solutions for Liénard type p-Laplacian equation with two deviating arguments

2009 ◽  
Vol 224 (2) ◽  
pp. 751-758 ◽  
Author(s):  
Lijuan Wang ◽  
Jianying Shao ◽  
Hua Meng ◽  
Bing Xiao ◽  
Fei Long
Keyword(s):  
Periodic Solutions ◽  
Deviating Arguments ◽  
Laplacian Equation

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.

Sign in / Sign up

Export Citation Format

Share Document