SOLVABILITY OF A SEMILINEAR BOUNDARY-VALUE PROBLEM AROUND THE FIRST EIGENVALUE

Citation
Ar. Elamrouss et M. Moussaoui, SOLVABILITY OF A SEMILINEAR BOUNDARY-VALUE PROBLEM AROUND THE FIRST EIGENVALUE, Bulletin of the Belgian Mathematical Society Simon Stevin, 4(4), 1997, pp. 461-471
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
13701444
Volume
4
Issue
4
Year of publication
1997
Pages
461 - 471
Database
ISI
SICI code
1370-1444(1997)4:4<461:SOASBP>2.0.ZU;2-O
Abstract
This paper deals with the existence of solutions for a semilinear seco nd order differential equation in some new conditions of nonresonance with respect to the first eigenvalue of the associated linear differen tiel operator x right bar arrow x ''.