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Existence and uniqueness of solutions for a fourth-order boundary value problem

✍ Scribed by Hanying Feng; Dehong Ji; Weigao Ge

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
446 KB
Volume
70
Category
Article
ISSN
0362-546X

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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