ArticleOriginal scientific text
Title
On a nonlinear second order periodic boundaryvalue problem with Carathéodory functions
Authors 1, 1
Affiliations
- Department of Mathematics, Jilin University, Changchun 130023, P.R. China
Abstract
The periodic boundary value problem u''(t) = f(t,u(t),u'(t)) with u(0) = u(2π) and u'(0) = u'(2π) is studied using the generalized method of upper and lower solutions, where f is a Carathéodory function satisfying a Nagumo condition. The existence of solutions is obtained under suitable conditions on f. The results improve and generalize the work of M.-X. Wang et al. [5].
Keywords
two-point boundary value problems, upper and lower solutions, Nagumo condition, existence, Carathéodory functions
Bibliography
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- M.-X. Wang, A. Cabada and J. J. Nieto, Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions, Ann. Polon. Math. 58 (1993), 221-235.
Pages:
283-291
Main language of publication
English
Received
1994-11-20
Published
1995
Exact and natural sciences