Existence of solution, Filippov's theorem and compactness of the set of solutions for a third-order differential inclusion with three-point boundary conditions (Q1649110)
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scientific article; zbMATH DE number 6898732
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of solution, Filippov's theorem and compactness of the set of solutions for a third-order differential inclusion with three-point boundary conditions |
scientific article; zbMATH DE number 6898732 |
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Existence of solution, Filippov's theorem and compactness of the set of solutions for a third-order differential inclusion with three-point boundary conditions (English)
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5 July 2018
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Summary: In this paper, we study a third-order differential inclusion with three-point boundary conditions. We prove the existence of a solution under convexity conditions on the multi-valued right-hand side; the proof is based on a nonlinear alternative of Leray-Schauder type. We also study the compactness of the set of solutions and establish some Filippov's-type results for this problem.
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differential inclusion
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boundary value problem
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fixed point theorem
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selection theory
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Filippov's theorem
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