Solvability of a fourth-order boundary value problem with periodic boundary conditions II

Let f:[0,1]×R4→R be a function satisfying Caratheodory's conditions and e(x)∈L1[0,1]. This paper is concerned with the solvability of the fourth-order fully quasilinear boundary value problem d4udx4+f(x,u(x),u′(x),u″(x),u‴(x))=e(x),   0<x<1, with u(0)−u(1)=u′(0)−u′(1)=u″(0)-u″(1)=u‴(0)-u‴...

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Bibliographic Details
Main Author: Chaitan P. Gupta
Format: Article
Language:English
Published: Wiley 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171291000121
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