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Nontrivial solutions of a nonlinear heat flow problem via Sperner’s Lemma

✍ Scribed by P.K. Palamides; G. Infante; P. Pietramala

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
499 KB
Volume
22
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this paper we investigate the existence of multiple nontrivial solutions of a nonlinear heat flow problem with nonlocal boundary conditions. Our approach relies on the properties of a vector field on the phase plane and utilizes Sperner's Lemma, combined with the continuum property of the solutions funnel.

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✍ Moustafa El-Shahed; Juan J. Nieto 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 267 KB

solution a b s t r a c t We investigate the existence of nontrivial solutions for a multi-point boundary value problem for fractional differential equations. Under certain growth conditions on the nonlinearity, several sufficient conditions for the existence of nontrivial solution are obtained by u