Academic Journal
Approximate controllability results for second-order non-local neutral impulsive differential inclusions with damping.
| Τίτλος: | Approximate controllability results for second-order non-local neutral impulsive differential inclusions with damping. |
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| Συγγραφείς: | Shanmugapriya, R. S., Kavitha Williams, W., Panda, Sumati Kumari, Vijayakumar, V., Thilagavathi, K. |
| Πηγή: | Journal of Control & Decision; May2026, Vol. 13 Issue 3, p601-616, 16p |
| Θεματικοί όροι: | Differential inclusions, Controllability in systems engineering, Fixed point theory, Damping (Mechanics), Banach spaces, Operator theory, Impulsive differential equations, Boundary value problems |
| Περίληψη: | This paper is mainly concerned with the approximate controllability of damped second-order neutral impulsive differential inclusions with non-local conditions in Banach spaces. We study our primary outcomes by using the theoretical concepts about cosine and sine functions of operators, Bohnenblust and Karlin's fixed point theorem. Using principles and ideas from the theory of the cosine family of operators and the fixed-point approach, we verify the existence of mild solutions for the given system. A new set of sufficient conditions is formulated and proved for the approximate controllability of second-order differential inclusions under the assumption that the associated linear part of the system is approximately controllable. Finally, an application is presented to illustrate our theoretical results. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Control & Decision is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Βάση Δεδομένων: | Complementary Index |
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| Items | – Name: Title Label: Title Group: Ti Data: Approximate controllability results for second-order non-local neutral impulsive differential inclusions with damping. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Shanmugapriya%2C+R%2E+S%2E%22">Shanmugapriya, R. S.</searchLink><br /><searchLink fieldCode="AR" term="%22Kavitha+Williams%2C+W%2E%22">Kavitha Williams, W.</searchLink><br /><searchLink fieldCode="AR" term="%22Panda%2C+Sumati+Kumari%22">Panda, Sumati Kumari</searchLink><br /><searchLink fieldCode="AR" term="%22Vijayakumar%2C+V%2E%22">Vijayakumar, V.</searchLink><br /><searchLink fieldCode="AR" term="%22Thilagavathi%2C+K%2E%22">Thilagavathi, K.</searchLink> – Name: TitleSource Label: Source Group: Src Data: Journal of Control & Decision; May2026, Vol. 13 Issue 3, p601-616, 16p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Differential+inclusions%22">Differential inclusions</searchLink><br /><searchLink fieldCode="DE" term="%22Controllability+in+systems+engineering%22">Controllability in systems engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Fixed+point+theory%22">Fixed point theory</searchLink><br /><searchLink fieldCode="DE" term="%22Damping+%28Mechanics%29%22">Damping (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Banach+spaces%22">Banach spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Operator+theory%22">Operator theory</searchLink><br /><searchLink fieldCode="DE" term="%22Impulsive+differential+equations%22">Impulsive differential equations</searchLink><br /><searchLink fieldCode="DE" term="%22Boundary+value+problems%22">Boundary value problems</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: This paper is mainly concerned with the approximate controllability of damped second-order neutral impulsive differential inclusions with non-local conditions in Banach spaces. We study our primary outcomes by using the theoretical concepts about cosine and sine functions of operators, Bohnenblust and Karlin's fixed point theorem. Using principles and ideas from the theory of the cosine family of operators and the fixed-point approach, we verify the existence of mild solutions for the given system. A new set of sufficient conditions is formulated and proved for the approximate controllability of second-order differential inclusions under the assumption that the associated linear part of the system is approximately controllable. Finally, an application is presented to illustrate our theoretical results. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Journal of Control & Decision is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/23307706.2024.2370877 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 601 Subjects: – SubjectFull: Differential inclusions Type: general – SubjectFull: Controllability in systems engineering Type: general – SubjectFull: Fixed point theory Type: general – SubjectFull: Damping (Mechanics) Type: general – SubjectFull: Banach spaces Type: general – SubjectFull: Operator theory Type: general – SubjectFull: Impulsive differential equations Type: general – SubjectFull: Boundary value problems Type: general Titles: – TitleFull: Approximate controllability results for second-order non-local neutral impulsive differential inclusions with damping. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Shanmugapriya, R. S. – PersonEntity: Name: NameFull: Kavitha Williams, W. – PersonEntity: Name: NameFull: Panda, Sumati Kumari – PersonEntity: Name: NameFull: Vijayakumar, V. – PersonEntity: Name: NameFull: Thilagavathi, K. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 23307706 Numbering: – Type: volume Value: 13 – Type: issue Value: 3 Titles: – TitleFull: Journal of Control & Decision Type: main |
| ResultId | 1 |