Title of article :
Generalized Solutions of Volterra Integral Equations of the First Kind
Author/Authors :
Sidorov, Nikolai A. Irkutsk State University - Faculty of Mathematics, Russia , Falaleev, Michail V. Irkutsk State University - Faculty of Mathematics, Russia , Sidorov, Denis N. Siberian Branch of Russian Academy of Sciences - Institute of Energy Systems, Russia
Abstract :
Volterra integral equations of the first kind are studied in terms of generalized functions. The solutions consist of singular and regular components which can be constructed separately. The singular component is constructed as solution of the special linear algebraic system. The regular component is constructed as solution of the special Volterra integral equation of the third kind.
Keywords :
Distribution space , Volterra integral equations , Dirac function , impulses theory.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
