TITLE

PERIODIC BOUNDARY VALUE PROBLEMS FOR nTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN

AUTHOR(S)
YUJI LIU; WEIGAO GE
PUB. DATE
January 2009
SOURCE
Journal of Applied Mathematics;2009, Special section p1
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
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,x,1, . . . ,xn-1 in the function f (t,x0,x,1, . . . ,xn-1) is allowed to be greater than 1.
ACCESSION #
47599731

 

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