Solvability of periodic boundary value problems for n(th)-order ordinary differential equations
In this paper, we prove existence results for periodic boundary value problems concerning the nth-order differential equation x((n)) (t) = f (t, x(t), x'(t),..., x((n-1)) (t)) t is an element of [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. (c) 2006 Elsevier Ltd. All rights reserved.
solvability periodic boundary value problem coincidence degree theory n(th)-order differential equation fredholm operator