Some classes of integral equations of convolutions-pair generated by the Kontorovic-Lebedev, Laplace and Fourier transforms
Commun. Korean Math. Soc.
Published online May 21, 2021
Trinh Tuan
Department of Mathematics, Electric Power University, 235 Hoang Quoc Viet, Hanoi, Vietnam
Abstract : n this article, we prove the existence of a solution to some classes of integral equations of generalized convolution type generated by the Kontorovic-Lebedev ($K$) transform, the Laplace $(\mathcal{L})$ transform and the Fourier (F) transform in some appropriate function spaces and represent it in a closed form.
Keywords : Convolution, Fourier sine, Fourier cosine, Kontorovich-Lebedev, transform
MSC numbers : 33C10, 44A35, 45E10, 45J05
Full-Text :

   

Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd