Affiliation:
1. Department of Mathematics, Faculty of Science, Anadolu University, Eskisehir, Turkey
2. Department of Mathematics, Ege University, Bornova, Izmir, Turkey
Abstract
This paper deal with the following second-order three-point boundary value
problem with integral boundary condition on a half-line u''(x) + q(x) f(x,
u(x), u'(x)) = 0, x ? (0,+?), u(0) = ? ??0 u(s)ds, u'(+1)=C, where ? >
0, 0 < ?? < 1 and f : [0,+?)x R2 ? R satisfies a Nagumo?s condition which
plays an important role in the nonlinear term depend on the first-order
derivative explicitly. By using Schauder?s fixed point theorem, the upper
and lower solution method and topological degree theory, first we give
sufficient conditions for the existence of at least one solution and next at
least three solutions of the above problem. Moreover, an example is included
to demonstrate the efficiency of the main results.
Publisher
National Library of Serbia
Cited by
7 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献