A VARIATIONAL APPROACH TO IMPULSIVE STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE

Abstract

We study the existence and multiplicity of solutions for a class of impulsive Sturm-Liouville differential equations with nonlinear derivative dependence. By applying a critical point theory, we give some criteria to guarantee that our impulsive problem has at least three solutions under rather different assumptions and an exact interval of parameter λ. AMS Subject Classification: 34B15, 34B18, 34B24, 34B37, 58E30