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Second order nonlocal boundary value problems at resonance

✍ Scribed by Daniel Franco; Gennaro Infante; Mirosława Zima

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
110 KB
Volume
284
Category
Article
ISSN
0025-584X

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✦ Synopsis

We present sufficient conditions for the existence of positive solutions for some second order boundary value problems at resonance. The boundary conditions that we study are quite general, involve a Stieltjes integral and include, as particular cases, multi-point and integral boundary conditions. Our results are based on a Leggett-Williams norm-type theorem due to O'Regan and Zima. We employ a general abstract approach which allows us to improve and complement recent results in the literature.

📜 SIMILAR VOLUMES

On a Nonlocal Boundary Value Problem at
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In this article, we prove an existence result for a nonlocal boundary value problem at resonance concerning a second order differential equation. Our method is based upon the coincidence degree theory of Mawhin.

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✍ Lingju Kong; Qingkai Kong 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 250 KB

## Abstract We study the nonlinear boundary value problem with nonhomogeneous multi‐point boundary condition Sufficient conditions are found for the existence of solutions of the problem based on the existence of lower and upper solutions with certain relation. Using this existence result, under s