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
Pages
12
From page
69
To page
80
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
Serial Year
2020
Record number
2587449
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