## Higher order boundary value problems with phi-Laplacian and functional boundary conditions

- John R. Graef, Lingju Kong, Feliz M. Minhós
- Computers & Mathematics with Applications
- 2011

Highly Influenced

@article{Eloe2005PositiveSO, title={Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions}, author={Paul W. Eloe and Bashir Ahmad}, journal={Appl. Math. Lett.}, year={2005}, volume={18}, pages={521-527} }

- Published 2005 in Appl. Math. Lett.
DOI:10.1016/j.aml.2004.05.009

We discuss the existence of positive solutions of a nonlinear nth order boundary value problem u(n) + a(t) f (u) = 0, t ∈ (0, 1) u(0) = 0, u′(0) = 0, . . . , u(n−2)(0) = 0, αu(η) = u(1), where 0 < η < 1, 0 < αηn−1 < 1. In particular, we establish the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones due to Krasnoselkiı̌ and Guo. © 2005 Elsevier Ltd. All rights reserved. MSC: 34B15

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