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Spectral asymptotics of self-adjoint fourth order boundary value problems with eigenvalue parameter dependent boundary conditions

✍ Scribed by Manfred Möller, Bertin Zinsou

Book ID
119906810
Publisher
Springer International Publishing AG
Year
2012
Tongue
English
Weight
263 KB
Volume
2012
Category
Article
ISSN
1687-2762

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This paper deals with the existence of positive solutions for the fourth-order nonlinear ordinary differential equation subject to the boundary conditions: where α, β, γ , δ ≥ 0 are constants such that ρ = αδ + αγ + βδ > 0, and ξ i ∈ (0, 1), By means of a fixed-point theorem due to Krasnaselskii,