Solvability of Periodic Boundary Value Problems for nth-Order Ordinary Differential Equations

Authors:
Yuji Liu
Affiliations:
Department of Mathematics, Guangdong University of Business Studies, Guangzhou, P.R. China and Department of Mathematics, Hunan Institute of Sciences and Technology Yueyang 414000, P.R. China and ...
Venue:
Computers & Mathematics with Applications
Year:
2006

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Abstract

In this paper, we prove existence results for periodic boundary value problems concerning the n^t^h -order differential equationx^(^n^)(t)=f(t,x(t),x^'(t),...,x^(^n^-^1^)(t)),t@?[0,1]. Our method is based upon the coincidence degree theory of Mawhin. The results obtained are new. Examples are given to illustrate the main results.