New Fundamental Results on the Continuous and Discrete Integro-Differential Equations
| dc.authorid | Tunc, Osman/0000-0003-2965-4561 | |
| dc.authorid | Tunc, Cemil/0000-0003-2909-8753 | |
| dc.authorscopusid | 56638410400 | |
| dc.authorscopusid | 6603328862 | |
| dc.authorscopusid | 55508684300 | |
| dc.authorscopusid | 23974662700 | |
| dc.authorwosid | Tunç, Osman/Gre-9544-2022 | |
| dc.authorwosid | Tunç, Cemil/Afh-0945-2022 | |
| dc.authorwosid | Yao, Jen-Chih/A-9636-2013 | |
| dc.authorwosid | Wen, Ching-Feng/C-1215-2010 | |
| dc.contributor.author | Tunc, Osman | |
| dc.contributor.author | Tunc, Cemil | |
| dc.contributor.author | Yao, Jen-Chih | |
| dc.contributor.author | Wen, Ching-Feng | |
| dc.date.accessioned | 2025-05-10T17:36:23Z | |
| dc.date.available | 2025-05-10T17:36:23Z | |
| dc.date.issued | 2022 | |
| dc.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| dc.department-temp | [Tunc, Osman] Yuzuncu Yil Univ, Baskale Vocat Sch, Dept Comp Programing, TR-65080 Van, Turkey; [Tunc, Cemil] Yuzuncu Yil Univ, Dept Math, Fac Sci, TR-65080 Van, Turkey; [Yao, Jen-Chih] China Med Univ, China Med Univ Hosp, Res Ctr Interneural Comp, Taichung 404332, Taiwan; [Wen, Ching-Feng] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80708, Taiwan; [Wen, Ching-Feng] Kaohsiung Med Univ Hosp, Dept Med Res, Kaohsiung 80708, Taiwan | en_US |
| dc.description | Tunc, Osman/0000-0003-2965-4561; Tunc, Cemil/0000-0003-2909-8753 | en_US |
| dc.description.abstract | This work studies certain perturbed and un-perturbed nonlinear systems of continuous and discrete integro-delay differential equations (IDDEs). Using the Lyapunov-Krasovskii functional (LKF) method and the Lyapunov-Razumikhin method (LRM), uniform asymptotic stability (UAS), uniform stability (US), integrability and boundedness of solutions as well as exponential stability (ES) and instability of solutions are discussed. In this paper, five new theorems and a corollary are given and three numerical applications are provided with their simulations. With this work, we aim to make new contributions to the theory of the continuous and discrete integro-differential equations. | en_US |
| dc.description.sponsorship | [MOST 108-2115-M-039-005-MY3]; [MOST 110-2115-M-037-001] | en_US |
| dc.description.sponsorship | The authors would like to thank reviewers of this paper for their careful reading and pertinent correction suggestions, which improved the paper. The research of Jen-Chih Yao was supported by the grant MOST 108-2115-M-039-005-MY3. Ching-Feng Wen was supported by the the grant MOST 110-2115-M-037-001. | en_US |
| dc.description.woscitationindex | Science Citation Index Expanded | |
| dc.identifier.doi | 10.3390/math10091377 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.issue | 9 | en_US |
| dc.identifier.scopus | 2-s2.0-85128870674 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.3390/math10091377 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/14074 | |
| dc.identifier.volume | 10 | en_US |
| dc.identifier.wos | WOS:000794583300001 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Nonlinear System Of Ides | en_US |
| dc.subject | Stability | en_US |
| dc.subject | Instability | en_US |
| dc.subject | Integrability | en_US |
| dc.subject | Boundedness At Infinity | en_US |
| dc.subject | Lkf | en_US |
| dc.title | New Fundamental Results on the Continuous and Discrete Integro-Differential Equations | en_US |
| dc.type | Article | en_US |