Infinitely many solutions for second-order impulsive differential inclusions with relativistic operator (Q2037349)
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scientific article; zbMATH DE number 7365497
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitely many solutions for second-order impulsive differential inclusions with relativistic operator |
scientific article; zbMATH DE number 7365497 |
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Infinitely many solutions for second-order impulsive differential inclusions with relativistic operator (English)
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30 June 2021
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Impulsive differential inclusions are widely applied to physics, population dynamics, ecology, industrial robotics, biotechnology and economics and so forth. In this paper, a boundary value problem of a second-order impulsive differential inclusion involving a relativistic operator is studied. Infinitely many nonnegative solutions are obtained by using non-smooth critical point theorem for locally Lipschitz functionals. Examples are presented to illustrate the theoretical results.
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impulsive differential inclusion
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relativistic operator
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infinitely many solutions
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non-smooth critical point theory
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locally Lipschitz functionals
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