The solvability and properties of solutions of an integral convolutional equation
Închide
Conţinutul numărului revistei
Articolul precedent
Articolul urmator
724 7
Ultima descărcare din IBN:
2023-06-05 18:53
SM ISO690:2012
SCHERBAKOVA, Alexandra. The solvability and properties of solutions of an integral convolutional equation. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 2(51), pp. 87-94. ISSN 1024-7696.
EXPORT metadate:
Google Scholar
Crossref
CERIF

DataCite
Dublin Core
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 2(51) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322

The solvability and properties of solutions of an integral convolutional equation

Pag. 87-94

Scherbakova Alexandra
 
Tiraspol State University
 
Disponibil în IBN: 18 decembrie 2015


Rezumat

The work defines the conditions of solvability of one integral convolutional equation with degreely difference kernels. This type of integral convolutional equations was not studied earlier, and it turned out that all methods used for the investigation of such equations with the help of Riemann boundary problem at the real axis are not applied there. The investigation of such type equations is based on the investigation of the equivalent singular integral equation with the Cauchy type kernel at the real axis. It is determined that the equation is not a Noetherian one. Besides, there shown the number of the linear independent solutions of the homogeneous equation and the number of conditions of solvability for the heterogeneous equation. The general form of these conditions is also shown and there determined the spaces of solutions of that equation. Thus the convolutional equation that wasn’t studied earlier is presented at that work and the theory of its solvability is built there. So some new and interesting theoretical results are got at that paper.

Cuvinte-cheie
Integral convolutional equation, Cauchy type kernel, a Noetherian equation, conditions of solvability, the number of the linear independent solutions, spaces of solutions.,

singular integral equation, Index