Periodic solutions of second-order Liénard equations with p-Laplacian-like operators
نویسندگان
چکیده
منابع مشابه
Existence of Periodic and Subharmonic Solutions for Second-Order p-Laplacian Difference Equations
where Δ is the forward difference operator Δxn = xn+1 − xn, Δxn = Δ(Δxn), φp(s) is p-Laplacian operator φp(s) = |s|p−2s (1 < p < ∞), and f : Z×R3 → R is a continuous functional in the second, the third, and fourth variables and satisfies f (t +m,u,v,w) = f (t,u,v,w) for a given positive integerm. We may think of (1.1) as being a discrete analogue of the second-order functional differential equa...
متن کاملExistence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like Operators
We investigate the following nonlinear equations with p-Laplacian-like operators φ x′ t ′ f x t x′ t g x t e t : some criteria to guarantee the existence and uniqueness of periodic solutions of the above equation are given by using Mawhin’s continuation theorem. Our results are new and extend some recent results due to Liu B. Liu, Existence and uniqueness of periodic solutions for a kind of Lie...
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The existence of periodic solutions of a higher order nonlinear functional difference equation with p-Laplacian is studied. Sufficient conditions for the existence of periodic solutions of such equation are established. The result is based on Mawhin′s continuation theorem. The methods used to estimate the priori bound on periodic solutions are very technical.
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2006
ISSN: 1025-5834,1029-242X
DOI: 10.1155/jia/2006/98685