In this paper, we look for local minima for the Euler functional corresponding to a dynamic Sturm–Liouville boundary value problem on time scales which turns out as an optimization problem. In fact, applying variational methods we obtain the existence of infinitely many solutions for our dynamic problem. An example is also given to illustrate the main results.

Existence results for a dynamic Sturm–Liouville boundary value problem on time scales

Heidarkhani, Shapour
Primo
;
Caristi, Giuseppe
Ultimo
2020

Abstract

In this paper, we look for local minima for the Euler functional corresponding to a dynamic Sturm–Liouville boundary value problem on time scales which turns out as an optimization problem. In fact, applying variational methods we obtain the existence of infinitely many solutions for our dynamic problem. An example is also given to illustrate the main results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3175845
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