On the solutions of the linear integral equations of Volterra type
| dc.authorid | Temizer, Ö. Faruk/0000-0002-3843-5945 | |
| dc.authorwosid | Temizer, Ö. Faruk/ABH-1108-2020 | |
| dc.contributor.author | Odemir, Ismet | |
| dc.contributor.author | Temizer, O. Faruk | |
| dc.date.accessioned | 2024-08-04T20:30:38Z | |
| dc.date.available | 2024-08-04T20:30:38Z | |
| dc.date.issued | 2007 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | Some boundaries about the solution of the linear Volterra integral equations of the form f (t) = 1-K * f were obtained as vertical bar f (t)vertical bar <= 1, vertical bar f (t)vertical bar <= 2 and vertical bar f (t)vertical bar <= 4 in (J. Math. Anal. Appl. 1978; 64:381-397; Int. J. Math. Math. Sci. 1982; 5(1):123-131). The boundary of the solution function of an equation in this type was found as vertical bar f (t)vertical bar <= 2(n) in (Integr Equ. Oper Theory 2002; 43:466-479), where t is an element of [0, infinity) and n is a natural number such that n >= 2. In (Math. Comp. 2006; 75:1175-1199), it is shown that the boundary of the solution function of an equation in the same form can also be derived as that of (Integr Equ. Oper Theory 2002; 43:466-479) under different conditions than those of (Integr Equ. Oper Theory 2002; 43:466-479). In the present paper, the sufficient conditions for the boundedness of functions f, f', f '',..., f((n+3)), (n is an element of N) defined on the infinite interval [0, infinity) are given by our method, where f is the solution of the equation f (t) = 1 - K * f. Copyright (C) 2007 John Wiley & Sons, Ltd. | en_US |
| dc.identifier.doi | 10.1002/mma.888 | |
| dc.identifier.endpage | 2369 | en_US |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.issue | 18 | en_US |
| dc.identifier.scopus | 2-s2.0-36148991093 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.startpage | 2329 | en_US |
| dc.identifier.uri | https://doi.org/10.1002/mma.888 | |
| dc.identifier.uri | https://hdl.handle.net/11616/94397 | |
| dc.identifier.volume | 30 | en_US |
| dc.identifier.wos | WOS:000251468600003 | en_US |
| dc.identifier.wosquality | Q3 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | 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 | linear Volterra integral equations with convolution kernel | en_US |
| dc.subject | equivalence theorem | en_US |
| dc.subject | convolution theorem | en_US |
| dc.title | On the solutions of the linear integral equations of Volterra type | en_US |
| dc.type | Article | en_US |
