CRITICAL POINT APPROACHES FOR IMPULSIVE STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE

Authors

  • Z. Mehraban Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran Author
  • S. Heidarkhani Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, Iran Author

DOI:

https://doi.org/10.57016/MV-evjm3519

Keywords:

Multiple solutions, Sturm-Liouville differential equation, impulsive condition, critical point theory, variational methods

Subjects:

34B15, 34B18, 34B24, 34B37, 58E30

Abstract

We guarantee the existence of multiplesolutions for a class of impulsive Sturm-Liouville differentialequations by considering a consequence of Bonanno's local minimumtheorem on the nonlinear term and as well as, via critical pointtheorems due to Bonanno and another one due to Averna and Bonanno in a special case.

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Published

2023-01-15

Issue

Vol. 75 No. 1 (2023): Vol. 75, Issue 1

Section

Articles

License

Copyright (c) 2023 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.