Investigation on continuous dependence and regularity solutions of functional integrodifferential equations
In this work, to show the existence and continuous dependence of integral solution for neutral integro-differential equation with finite delay situation. This result established by using integrated resolvent operator with support of Lipschitz continuous and uniqueness part using Banach contraction m...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Results in Control and Optimization |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666720724000067 |
| _version_ | 1797259649575026688 |
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| author | K. Munusamy C. Ravichandran Kottakkaran Sooppy Nisar Shankar Rao Munjam |
| author_facet | K. Munusamy C. Ravichandran Kottakkaran Sooppy Nisar Shankar Rao Munjam |
| author_sort | K. Munusamy |
| collection | DOAJ |
| description | In this work, to show the existence and continuous dependence of integral solution for neutral integro-differential equation with finite delay situation. This result established by using integrated resolvent operator with support of Lipschitz continuous and uniqueness part using Banach contraction mapping. Also study the existence of strict solution on reflexive and general Banach spaces. In the last section, an example is provided related to this theory. |
| first_indexed | 2024-03-08T13:19:50Z |
| format | Article |
| id | doaj.art-94367e01d5c44d05b8da66c3af337850 |
| institution | Directory Open Access Journal |
| issn | 2666-7207 |
| language | English |
| last_indexed | 2024-04-24T23:12:47Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Control and Optimization |
| spelling | doaj.art-94367e01d5c44d05b8da66c3af3378502024-03-17T07:59:00ZengElsevierResults in Control and Optimization2666-72072024-03-0114100376Investigation on continuous dependence and regularity solutions of functional integrodifferential equationsK. Munusamy0C. Ravichandran1Kottakkaran Sooppy Nisar2Shankar Rao Munjam3Department of Mathematics, Hindusthan College of Engineering and Technology, Coimbatore 641 032, IndiaDepartment of Mathematics, Kongunadu Arts and Science College, Coimbatore 641 029, IndiaDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia; School of Technology, Woxsen University, Hyderabad 502345, Telangana State, India; Corresponding author at: Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia.School of Technology, Woxsen University, Hyderabad 502345, Telangana State, IndiaIn this work, to show the existence and continuous dependence of integral solution for neutral integro-differential equation with finite delay situation. This result established by using integrated resolvent operator with support of Lipschitz continuous and uniqueness part using Banach contraction mapping. Also study the existence of strict solution on reflexive and general Banach spaces. In the last section, an example is provided related to this theory.http://www.sciencedirect.com/science/article/pii/S2666720724000067Neutral integro-differential equationsIntegrated resolvent operatorIntegral solutionStrict solutionContinuous dependence |
| spellingShingle | K. Munusamy C. Ravichandran Kottakkaran Sooppy Nisar Shankar Rao Munjam Investigation on continuous dependence and regularity solutions of functional integrodifferential equations Results in Control and Optimization Neutral integro-differential equations Integrated resolvent operator Integral solution Strict solution Continuous dependence |
| title | Investigation on continuous dependence and regularity solutions of functional integrodifferential equations |
| title_full | Investigation on continuous dependence and regularity solutions of functional integrodifferential equations |
| title_fullStr | Investigation on continuous dependence and regularity solutions of functional integrodifferential equations |
| title_full_unstemmed | Investigation on continuous dependence and regularity solutions of functional integrodifferential equations |
| title_short | Investigation on continuous dependence and regularity solutions of functional integrodifferential equations |
| title_sort | investigation on continuous dependence and regularity solutions of functional integrodifferential equations |
| topic | Neutral integro-differential equations Integrated resolvent operator Integral solution Strict solution Continuous dependence |
| url | http://www.sciencedirect.com/science/article/pii/S2666720724000067 |
| work_keys_str_mv | AT kmunusamy investigationoncontinuousdependenceandregularitysolutionsoffunctionalintegrodifferentialequations AT cravichandran investigationoncontinuousdependenceandregularitysolutionsoffunctionalintegrodifferentialequations AT kottakkaransooppynisar investigationoncontinuousdependenceandregularitysolutionsoffunctionalintegrodifferentialequations AT shankarraomunjam investigationoncontinuousdependenceandregularitysolutionsoffunctionalintegrodifferentialequations |