Existence and location result for a fourth order boundary value problem

Feliz Minhós; T. Gyulov; A. I. Santos

doi:10.3934/proc.2005.2005.662

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2005, Volume 2005: 662-671. Doi: 10.3934/proc.2005.2005.662 open access

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Existence and location result for a fourth order boundary value problem

1.
Departamento de Matemática. Universidade de Évora, Centro de Investigação em Matemática e Aplicaçoes da U.E. (CIMA-UE), Rua Romão Ramalho, 59. 7000-671 Évora
2.
C.A.M.I., University of Rousse, 8, "Studenska" Str., 7017 Rousse

Received: July 31, 2004

Revised: February 28, 2005

Published: August 2005

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Abstract

In the present work we prove an existence and location result for the fourth order fully nonlinear equation% \begin{equation*} u^{(iv)}=f\left( t,u,u^{\prime },u^{\prime \prime },u^{\prime \prime \prime }\right) ,\quad 0

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Mathematics Subject Classification: 34B15.

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