International Journal of Mathematics and Mathematical Sciences
Volume 10 (1987), Issue 2, Pages 361-371
doi:10.1155/S0161171287000425

Two-point boundary value problems involving reflection of the argument

Chaitan P. Gupta

Department of Mathematical Sciences, Northern Illinois University, DeKalb, Illinois 60115, USA

Abstract

Two point boundary value problems involving reflection of the argument are studied. The nonlinearity involved is allowed to cross asymptotically any number of eigenvalues of the associated linear eigenvalue problem as long as those crossings take place in subsets of sufficiently small measure.