Existence of the solutions to convolution equations with distributional kernels
DOI:
https://doi.org/10.14419/gjma.v6i1.8632الكلمات المفتاحية:
Volterra equations، distributional kernelsالملخص
It is proved that a class of convolution integral equations of the Volterra type has a globalsolution, that is, solutions defined for all \(t\ge 0\). Smoothness of the solution is studied.المراجع
[1] I.Gelfand, G. Shilov, Generalized functions, Vol.1, AMS Chelsea Publ., 1964.
[2] P. Zabreiko, A.Koshelev, M. Krasnoselskii, S.Mikhlin, L. Rakovshchik, V Stecenko, Integral equations: a reference text, Leyden, Noordhoff International Publ., 1975.
التنزيلات
منشور
14-12-2017
إصدار
القسم
Articles
الرخصة
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كيفية الاقتباس
Ramm, A. G. (2017). Existence of the solutions to convolution equations with distributional kernels. Global Journal of Mathematical Analysis, 6(1), 1-1. https://doi.org/10.14419/gjma.v6i1.8632