Multiple solutions for a dynamic Sturm-Liouville boundary value problem on time scales with impulsive effects
Abstract
In this study, we explore the existence of multiple solutions for a dynamic Sturm-Liouville boundary value problem on
time scales that incorporate impulsive effects. Utilizing variational methods and applying certain critical point theorems from Ricceri
for smooth functionals, we demonstrate the existence of at least three solutions to the problem. To illustrate the practical relevance
of our findings, we provide an example at the end.
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Copyright (c) 2025 M. Ferrara, S. Heidarkhani, S. Moradi, A.L.A. de Araujo
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