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Multiple solutions of some boundary value problems with parameters

✍ Scribed by Xiaojing Feng; Pengcheng Niu; Qianqiao Guo


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
285 KB
Volume
74
Category
Article
ISSN
0362-546X

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Existence of solutions for some fourth-o
✍ Yang Yang; Jihui Zhang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 285 KB

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