Prescribed Asymptotic Behavior of Nonlinear Dynamic Equations Under Impulsive Perturbations

dc.authorid Dogru Akgol, Sibel/0000-0003-3513-1046
dc.authorscopusid 56550216700
dc.authorscopusid 57195267165
dc.authorwosid Dogru Akgol, Sibel/AAL-5957-2020
dc.contributor.author Zafer, Agacik
dc.contributor.author Dogru Akgol, Sibel
dc.contributor.other Mathematics
dc.date.accessioned 2024-07-05T15:23:09Z
dc.date.available 2024-07-05T15:23:09Z
dc.date.issued 2024
dc.department Atılım University en_US
dc.department-temp [Zafer, Agacik] Amer Univ Middle East, Coll Engn & Technol, Egaila 54200, Kuwait; [Dogru Akgol, Sibel] Atilim Univ, Dept Math, TR-06830 Ankara, Turkiye en_US
dc.description Dogru Akgol, Sibel/0000-0003-3513-1046 en_US
dc.description.abstract The asymptotic integration problem has a rich historical background and has been extensively studied in the context of ordinary differential equations, delay differential equations, dynamic equations, and impulsive differential equations. However, the problem has not been explored for impulsive dynamic equations due to the lack of essential tools such as principal and nonprincipal solutions, as well as certain compactness results. In this work, by making use of the principal and nonprincipal solutions of the associated linear dynamic equation, recently obtained in [Acta Appl. Math. 188, 2 (2023)], we investigate the asymptotic integration problem for a specific class of nonlinear impulsive dynamic equations. Under certain conditions, we prove that the given impulsive dynamic equation possesses solutions with a prescribed asymptotic behavior at infinity. These solutions can be expressed in terms of principal and nonprincipal solutions as in differential equations. In addition, the necessary compactness results are also established. Our findings are particularly valuable for better understanding the long-time behavior of solutions, modeling real-world problems, and analyzing the solutions of boundary value problems on semi-infinite intervals. en_US
dc.identifier.citationcount 0
dc.identifier.doi 10.1007/s12346-024-01058-0
dc.identifier.issn 1575-5460
dc.identifier.issn 1662-3592
dc.identifier.issue 5 en_US
dc.identifier.scopus 2-s2.0-85194185696
dc.identifier.scopusquality Q2
dc.identifier.uri https://doi.org/10.1007/s12346-024-01058-0
dc.identifier.uri https://hdl.handle.net/20.500.14411/2266
dc.identifier.volume 23 en_US
dc.identifier.wos WOS:001230268000001
dc.identifier.wosquality Q1
dc.institutionauthor Doğru Akgöl, Sibel
dc.language.iso en en_US
dc.publisher Springer Basel Ag en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.scopus.citedbyCount 0
dc.subject Impulsive en_US
dc.subject Dynamic equation en_US
dc.subject Time scale en_US
dc.subject Discontinuous en_US
dc.subject Principal en_US
dc.subject Nonprincipal en_US
dc.subject Compactness criteria en_US
dc.title Prescribed Asymptotic Behavior of Nonlinear Dynamic Equations Under Impulsive Perturbations en_US
dc.type Article en_US
dc.wos.citedbyCount 0
dspace.entity.type Publication
relation.isAuthorOfPublication 28f51739-3ac6-42ea-8c4b-4d2d9e7e81e1
relation.isAuthorOfPublication.latestForDiscovery 28f51739-3ac6-42ea-8c4b-4d2d9e7e81e1
relation.isOrgUnitOfPublication 31ddeb89-24da-4427-917a-250e710b969c
relation.isOrgUnitOfPublication.latestForDiscovery 31ddeb89-24da-4427-917a-250e710b969c

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