|CRITICAL POINT APPROACHES FOR IMPULSIVE STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE|
|Z. Mehraban, S. Heidarkhani|
We guarantee the existence of multiple
solutions for a class of impulsive Sturm-Liouville differential
equations by considering a consequence of Bonanno's local minimum
theorem on the nonlinear term and as well as, via critical point
theorems due to Bonanno and another one due to
Averna and Bonanno in a special case.
Keywords: Multiple solutions; Sturm-Liouville differential equation; impulsive condition; critical point theory; variational methods.
MSC: 34B15, 34B18, 34B24, 34B37, 58E30
, Issue 1