Existence of solutions of n-point boundary value problems on the half-line in Banach spaces
Henan University of Science and Technology Department of Mathematics and Physics Luoyang 471003 People’s Republic of China Acta Applicandae Mathematicae
(Impact Factor: 1.05).
05/2010; 110(2):785-795. DOI: 10.1007/s10440-009-9475-8
In this paper, the Mönch fixed point theorem is used to investigate the existence of solutions of a n-point boundary value problem on the half-line in a Banach space. As an application, we give an example in an infinite dimensional
space to demonstrate our results.
KeywordsBoundary value problem-Half-line-Banach spaces-Existence of solution
Available from: Smail Djebali
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ABSTRACT: In this paper, the Krasnosels’kii ﬁxed point theorem in cones for
strict set-contraction is used to investigate the existence of single and twin positive
solutions for a class of a two-point boundary value problem of second-order
nonlinear diﬀerential equations posed on an inﬁnite interval. The nonlinearity,
which may have time-singularity, takes values in a general Banach space and have
at most polynomial growth with respect to the unknown.
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