A Periodic Solution of the Generalized Forced Liénard Equation

A Periodic Solution of the Generalized Forced Liénard Equation

We consider the generalized forced Liénard equation as follows: ( ϕ p ( 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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Veröffentlicht in:Abstract and Applied Analysis 2014-01, Vol.2014 (2014), p.491-495
Hauptverfasser: Goodarzi, Zahra, Razani, Abdolrahman
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Fixed point theory
Mathematical research
Periodic functions
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Zusammenfassung:We consider the generalized forced Liénard equation as follows: ( ϕ p ( 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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/132450