Abstract

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

DOI: 10.57016/MV-evjm3519

Pages:  1$-$18     

Volume  75 ,  Issue  1 ,  2023