Electron. J. Diff. Equ., Vol. 2014 (2014), No. 110, pp. 1-14.

Polyconvolution and the Toeplitz plus Hankel integral equation

Nguyen Xuan Thao, Nguyen Minh Khoa, Phi Thi Van Anh

In this article we introduce a polyconvolution which related to the Hartley and Fourier cosine transforms. We prove some properties of this polyconvolution, and then solve a class of Toeplitz plus Hankel integral equations and systems of two Toeplitz plus Hankel integral equations.

Submitted November 23, 2013. Published April 16, 2014.
Math Subject Classifications: 44A05, 44A15, 44A20, 44A35, 45E10.
Key Words: Convolution; polyconvolution; integral equation; integral transform; Toeplitz plus Hankel.

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Nguyen Xuan Thao
School of Applied Mathematics and Informatics
Hanoi University of Science and Technology
No. 1, Dai Co Viet, Hanoi, Vietnam
email: thaonxbmai@yahoo.com
Nguyen Minh Khoa
Department of Mathematics, Electric Power University
235 Hoang Quoc Viet, Cau Giay, Hanoi, Vietnam
email: khoanm@epu.edu.vn
Phi Thi Van Anh
Department of Mathematics
University of Transport and Communications
Lang Thuong, Dong Da, Hanoi, Vietnam
email: vananh.utcmath@gmail.com

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