On some relations among the solutions of the linear volterra integral equations with convolution kernel
| dc.authorscopusid | 7005334944 | |
| dc.authorscopusid | 22986799300 | |
| dc.contributor.author | Özdemir I. | |
| dc.contributor.author | Temizer Ö.F. | |
| dc.date.accessioned | 2024-08-04T20:02:24Z | |
| dc.date.available | 2024-08-04T20:02:24Z | |
| dc.date.issued | 2012 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | The sufficient conditions for y1(x) ? y2(x) were given in [1] such that ym(x) = CMEX10.-1.integraltext fm(x) + ? x a Km(x, t)ym(t)dt, (m = 1, 2) and x ? [a, b]. Some properties such as positivity, boundedness and monotonicity of the solution of the linear Volterra integral equation of the form CMEX10.-1.integraltext t - f(t) = 1 - ? t 0 K(t - ?)f(?)d? = 1 - K f, (0 ? t < ?) were obtained, without solving this equation, in [3, 4, 5, 6]. Also, the boundaries for functions f', f'',.., f(n), (n ? N) defined on the infinite interval [0, ?) were found in [7, 8]. In this work, for the given equation f(t) = 1 - K * f and n ? 2, it is derived that there exist the functions L2, L3,.., Ln which can be obtained by means of K and some inequalities among the functions f, h2, h3,.., hi for i = 2, 3,.., n are satisfied on the infinite interval [0, ?), where hi is the solution of the equation hi(t) = 1 - Li * hi and n is a natural number. © 2012 Austral Internet Publishing. | en_US |
| dc.identifier.endpage | 23 | en_US |
| dc.identifier.issn | 1449-5910 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-84869754205 | en_US |
| dc.identifier.scopusquality | Q4 | en_US |
| dc.identifier.startpage | 1 | en_US |
| dc.identifier.uri | https://hdl.handle.net/11616/91650 | |
| dc.identifier.volume | 9 | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Australian Journal of Mathematical Analysis and Applications | 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 | Convolution theorem | en_US |
| dc.subject | Equivalence theorem | en_US |
| dc.subject | Linear Volterra integral equations with convolution kernel | en_US |
| dc.title | On some relations among the solutions of the linear volterra integral equations with convolution kernel | en_US |
| dc.type | Article | en_US |
