Existence and Stabilization for Impulsive Integro-Differential Equations of Second-Order With Multiple Kernels and Delays
| dc.authorscopusid | 14830463700 | |
| dc.authorscopusid | 56638410400 | |
| dc.authorscopusid | 6603328862 | |
| dc.contributor.author | Pinelas, S. | |
| dc.contributor.author | Tunç, Osman | |
| dc.contributor.author | Tunç, Cemil | |
| dc.date.accessioned | 2025-09-30T16:36:04Z | |
| dc.date.available | 2025-09-30T16:36:04Z | |
| dc.date.issued | 2025 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Pinelas] S., Departamento de Ciências Exatas e Engenharia, Amadora, Portugal, Department of Mathematics, Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Aveiro, Portugal; [Tunç] Osman, Department of Computer Programing, Van Yüzüncü Yıl Üniversitesi, Van, Turkey; [Tunç] Cemil, School of Engineering and Natural Sciences, İstanbul Medipol Üniversitesi, Istanbul, Turkey | en_US |
| dc.description.abstract | The mathematical formulation of many dynamic systems naturally culminates in the second-order impulsive delay integro-differential equations (IPDIDEs). This study focuses on existence and stabilization results for the second-order IPDIDEs containing multiple time delays. Initially, the existence of a solution is established using Schaefer's fixed point theorem. Following this, the stabilization result is derived through the method of Lyapunov–Krasovskii functionals. The findings of this study improve upon and extend several well-known results in the existing literature. In a specific case, we present an example that demonstrates the applicability of our results. © 2025 Elsevier B.V., All rights reserved. | en_US |
| dc.identifier.doi | 10.1002/mma.70043 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-105014614585 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.70043 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/28588 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | John Wiley and Sons Ltd | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Existence of Solutions | en_US |
| dc.subject | Exponential Stabilization | en_US |
| dc.subject | Functional Perturbation Theory (FPT) | en_US |
| dc.subject | Impulsive Delay Integro-Differential Equation (IDIDE) | en_US |
| dc.subject | Multiple Delays | en_US |
| dc.subject | Schaefer LKF | en_US |
| dc.subject | Integro-Differential Equations | en_US |
| dc.subject | Lyapunov Functions | en_US |
| dc.subject | Lyapunov Methods | en_US |
| dc.subject | Nonlinear Analysis | en_US |
| dc.title | Existence and Stabilization for Impulsive Integro-Differential Equations of Second-Order With Multiple Kernels and Delays | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |