A class of nonlinear boundary value problems without Landesman-Lazer condition
type: Item
instance of: scholarly article
title: A class of nonlinear boundary value problems without Landesman-Lazer condition
zbMATH Open document ID: 0589.34013
DOI: 10.1016/0022-247X(85)90093-9
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: This paper uses an abstract existence theorem of \textit{L. Cesari} and the first author [Proc. Am. Math. Soc. 63, 221-225 (1977; Zbl 0361.47021)] and upper and lower solutions arguments to prove existence results for nonlinear boundary value problems of the type \(-u''-u+g(u)=\cos t\), \(u(0)=u(\pi)=0\) when g is bounded, nondecreasing and continuous. More general results in this direction can be found in he reviewer's monograph ''Points fixes, points critique et problèmes aux limites'' (1985; Zbl 0561.34001).
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 3946651
zbMATH Keywords: two-point boundary value problems
zbMATH Keywords: upper solutions
zbMATH Keywords: second order
zbMATH Keywords: differential equation
zbMATH Keywords: lower solutions
Wikidata QID: Q60199500
author: R. Kannan
author: Juan J. Nieto
author: Michael B. Ray
reviewed by: Jean Mawhin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3946651