\`x^2+y_1+z_12^34\`
Advanced Search
Advanced Search
Advanced Search
This issue Previous Article Next Article
Article Contents
Article Contents
2009, Volume 2009: 564-573. Doi: 10.3934/proc.2009.2009.564 open access
This issue Previous Article A nonstandard finite difference scheme for the drift-diffusion system Next Article A Sobolev space approach for global solutions to certain semi-linear heat equations in bounded domains

On the solvability of some fourth-order equations with functional boundary conditions

  • 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.

    Centro de Investigação em Matemática e Aplicações da U.E. (CIMA-CE), Rua Romão Ramalho 59, 7000-671 Évora

Received:  June 30, 2008
Revised:  January 31, 2009
Published:  August 2009
Abstract Related Papers Cited by
    Abstract
  • In this paper it is considered a fourth order problem composed of a fully nonlinear differential equation and functional boundary conditions satisfying some monotone conditions.This functional dependence on $u,u^' $ and $u^{''}$and generalizes several types of boundary conditions such as Sturm-Liouville, multipoint, maximum and/or minimum arguments, or nonlocal. The main theorem is an existence and location result as it provides not only the existence, but also some qualitative information about the solution.
    Mathematics Subject Classification: Primary: 34B10, 34B15 ; Secondary: 34L30.

    Citation:
    shu

    \begin{equation} \\ \end{equation}
    • Related Papers
  • Cited by
  • Access History
  • 加载中
Open Access Under a Creative Commons license
PDF
XML
Export Citation
SHARE
Email to a Friend

Article Metrics

HTML views() PDF downloads(69) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return
    Site map Copyright © 2023 American Institute of Mathematical Sciences