Title of article :
MULTIPLICITY RESULTS TO A FOURTH-ORDER BOUNDARY VALUE PROBLEM FOR A STURM-LIOUVILLE TYPE EQUATION
Author/Authors :
GHAZVEHI, AHMAD Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran - Babolsar, Iran , AFROUZI, GHASEM A Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran - Babolsar, Iran
Abstract :
We establish the existence of at least three distinct weak solutions for a
fourth-order Sturm-Liouville type problem under appropriate hypotheses. Our main
tools are based on variational methods and some critical points theorems. Moreover,
when the energy functional is not coercive, an existence result of two distinct solutions
is given. We give some examples to illustrate the obtained results.
Keywords :
Fourth-order boundary value problem , Sturm-Liouville type problem , three solutions , variational methods
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
