MULTIPLE SOLUTIONS FOR THE NONLINEAR PARABOLIC PROBLEM

Abstract

We investigate the multiple solutions for the nonlinear parabolic boundary value problem with jumping nonlinearity crossing two eigenvalues. We show the existence of at least four nontrivial periodic solutions for the parabolic boundary value problem. We restrict ourselves to the real Hilbert space and obtain this result by the geometry of the mapping.

This article was migrated from the previous system via automation. The abstract may not be written correctly. Please view the PDF file.