CRITICAL POINT APPROACHES TO SECOND-ORDER DIFFERENTIAL SYSTEMS GENERATED BY IMPULSES

CRITICAL POINT APPROACHES TO SECOND-ORDER DIFFERENTIAL SYSTEMS GENERATED BY IMPULSES

M. Omidi, A. Salari

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Abstract

Usingvariationalmethodsandcriticalpointtheory,weestablishmultiplicity results of solutions for second-order differential systems generated by impulses. Indeed, employing two sorts of three critical points theorems, we establish the multiplicity re- sults for weak solutions of the problem and verify that these solutions are generated by impulses.

Keywords

Multiple solutions; second-order impulsive differential equation; Critical point theory; Variational methods