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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2021, Volume 24, Number 1, Pages 35–45
DOI: https://doi.org/10.15372/SJNM20210103 (Mi sjvm763) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Existence results for second-order nonlinear differential inclusion with nonlocal boundary conditions

N. Bouteraa, S. Benaicha

Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran1, Ahmed Benbella, Algeria
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DOI: https://doi.org/10.15372/SJNM20210103
Abstract: In this paper, we investigate the existence of solutions for a second-order differential inclusion with nonlocal boundary conditions. To establish the existence results for the given problem, first we apply Schaefer's fixed point theorem combined with a selection theorem due to Bressan and Colombo. Second, our result is based on the fixed point theorem for multivalued maps due to Covitz and Nadler. An example is given to illustrate the obtained results.
Key words: second-order, differential inclusion, multi-valued, selection theorem.
Received: 11.03.2019
Revised: 19.11.2019
Accepted: 21.10.2020
English version:
Numerical Analysis and Applications, 2021, Volume 14, Issue 1, Pages 30–39
DOI: https://doi.org/10.1134/S1995423921010031
Bibliographic databases:
Document Type: Article
MSC: 34B10, 34B15, 47H11
Language: Russian
Citation: N. Bouteraa, S. Benaicha, “Existence results for second-order nonlinear differential inclusion with nonlocal boundary conditions”, Sib. Zh. Vychisl. Mat., 24:1 (2021), 35–45; Num. Anal. Appl., 14:1 (2021), 30–39
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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