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
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 ''.