Integral equation of Toeplitz plus Hankel's type and parabolic equation related to the Kontorovich‐Lebedev‐Fourier generalized convolutions.

Autor:	Tuan, Trinh, Van Hoang, Pham, Hong, Nguyen Thanh
Předmět:	NUMERICAL solutions to integral equations TOEPLITZ matrices DEGENERATE parabolic equations MATHEMATICAL convolutions GENERALIZATION
Zdroj:	Mathematical Methods in the Applied Sciences; 11/30/2018, Vol. 41 Issue 17, p8171-8181, 11p
Abstrakt:	In this paper, we consider a class of integral equations with two Toeplitz plus Hankel's type kernels, and a class of parabolic equations. Using the Kontorovich‐Lebedev transform method, we obtain the closed form of solutions related to the Kontorovich‐Lebedev‐Fourier generalized convolutions. Furthermore, the estimate of solution in Lp with weight is established. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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