On the solution of the convolution equation with two kernels

On the solution of the convolution equation with two kernels

We suggest a constructive method for solving a nonsingular convolution equation with two kernels whose kernel functions are integrable on the entire line. The right-hand side is assumed to be integrable with power p ⩾ 1.

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Veröffentlicht in:Differential equations 2012-05, Vol.48 (5), p.756-759
1. Verfasser: Barsegyan, A. G.
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Difference and Functional Equations
Differential equations
Fourier transforms
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Short Communications
Studies
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Beschreibung
Zusammenfassung:We suggest a constructive method for solving a nonsingular convolution equation with two kernels whose kernel functions are integrable on the entire line. The right-hand side is assumed to be integrable with power p ⩾ 1.
ISSN:0012-2661
1608-3083
DOI:10.1134/S001226611205014X