American Institute of Mathematical Sciences

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2005, 2005(Special): 662-671. doi: 10.3934/proc.2005.2005.662

Existence and location result for a fourth order boundary value problem

Feliz Minhós 1, , T. Gyulov 2, and  A. I. Santos 1,

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, Portugal, Portugal
2. 

C.A.M.I., University of Rousse, 8, "Studenska" Str., 7017 Rousse, Bulgaria

Received  August 2004 Revised  March 2005 Published  September 2005

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
Keywords: a priori estimate, degree theory., Fourth order boundary value problem, a pair of lower and upper solutions, Nagumo condition.
Mathematics Subject Classification: 34B1.
Citation: Feliz Minhós, T. Gyulov, A. I. Santos. Existence and location result for a fourth order boundary value problem. Conference Publications, 2005, 2005 (Special) : 662-671. doi: 10.3934/proc.2005.2005.662
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