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Multiplicity results for a three-point boundary value problem at resonance

✍ Scribed by Ruyun Ma

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
146 KB
Volume
53
Category
Article
ISSN
0362-546X

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✦ Synopsis

This paper deals with second-order three-point boundary value problem

where f : [0; 1] Γ— R β†’ R is continuous, ∈ (0; ∞) and Á ∈ (0; 1) are given constants such that Á = 1. We develop the methods of lower and upper solutions by the connectivity properties of the solution set of parameterized families of compact vector ΓΏelds. As applications of these methods, we get several multiplicity results for the problems under consideration.

πŸ“œ SIMILAR VOLUMES

Existence and multiplicity results for s
Existence and multiplicity results for some three-point boundary value problems
✍ Rahmat Ali Khan; M. Rafique πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 184 KB

Using the method of upper and lower solutions and some degree theory arguments, we establish the existence of at least three solutions of some second-order nonlinear differential equations of the type subject to nonlinear three-point boundary conditions The growth of f with respect to x is allowed