scholarly journals Existence and uniqueness of positive periodic solution for ϕ-Laplacian Liénard equation

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Yun Xin ◽  
Xuefeng Han ◽  
Zhibo Cheng
Keyword(s):  
Periodic Solution ◽  
Existence And Uniqueness ◽  
Positive Periodic Solution ◽  
Liénard Equation ◽  
Lienard Equation

scholarly journals A Periodic Solution of the Generalized Forced Liénard Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Zahra Goodarzi ◽  
Abdolrahman Razani
Keyword(s):  
Periodic Solution ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Liénard Equation ◽  
Schauder’S Fixed Point Theorem ◽  
Schauder's Fixed Point Theorem ◽  
Lienard Equation

We consider the generalized forced Liénard equation as follows:(ϕp(x′))′+(f(x)+k(x)x′)x′+g(x)=p(t)+s. By applying Schauder's fixed point theorem, the existence of at least one periodic solution of this equation is proved.

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