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Existence of solutions for some fourth-order boundary value problems with parameters

✍ Scribed by Yang Yang; Jihui Zhang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
285 KB
Volume
69
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper, existence and multiplicity results for solutions are obtained for the fourth-order boundary value problem

and Ξ» ∈ R + are parameters. By using the critical point theory and Morse theory, we obtain that if ΞΎ , Ξ· satisfy ΞΎ Ο€ 4 + Ξ· Ο€ 2 < 1, then the above BVP has solutions where Ξ» is in some different intervals.

πŸ“œ SIMILAR VOLUMES

Existence and multiplicity of solutions
Existence and multiplicity of solutions for fourth-order boundary value problems with three parameters
✍ Xi-Lan Liu; Wan-Tong Li πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 267 KB

This paper is concerned with the existence and multiplicity of the solutions for the fourth-order boundary value problem η and λ ∈ R are parameters. Using the variational structure of the above boundary value problem and critical point theory, it is shown that the different locations of the pair (η