Periodic boundary value problems for nth‐order ordinary differential equations with p‐laplacian

Yuji Liu and Weigao Ge

Journal of Applied Mathematics, 2005, vol. 2005, issue 1, 1-21

Abstract: We prove existence results for solutions of periodic boundary value problems concerning the nth‐order differential equation with p‐Laplacian [φ(x(n−1)(t))] ′=f(t,x(t),x′(t),…,x(n−1)(t)) and the boundary value conditions x(i)(0) = x(i)(T), i = 0, …, n − 1. Our method is based upon the coincidence degree theory of Mawhin. It is interesting that f may be a polynomial and the degree of some variables among x0, x1, …, xn−1 in the function f(t, x0, x1, …, xn−1) is allowed to be greater than 1.

Date: 2005
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https://doi.org/10.1155/JAM.2005.1

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2005:y:2005:i:1:p:1-21

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