A three-point boundary value problem with an integral condition for a third-order
partial differential equation

C.  Latrous; A.  Memou

doi:10.1155/AAA.2005.33

Abstract and Applied Analysis (Jan 2005)

A three-point boundary value problem with an integral condition for a third-order partial differential equation

C. Latrous,
A. Memou

Affiliations

C. Latrous: Laboratoire Equations Differentielles, Département de Mathematiques, Université Mentouri Constantine, Constantine 25000, Algeria
A. Memou: Laboratoire Equations Differentielles, Département de Mathematiques, Université Mentouri Constantine, Constantine 25000, Algeria

DOI: https://doi.org/10.1155/AAA.2005.33
Journal volume & issue: Vol. 2005, no. 1
pp. 33 – 43

Abstract

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We prove the existence and uniqueness of a strong solution for a linear third-order equation with integral boundary conditions. The proof uses energy inequalities and the density of the range of the operator generated.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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