On the Fourier-Laplace convolution transforms

被引：3

作者：

Nguyen Xuan Thao ^{[1
]}

Vu Kim Tuan ^{[2
]}

Le Xuan Huy ^{[3
]}

Nguyen Thanh Hong ^{[4
]}

机构：

[1] Hanoi Univ Sci & Technol, Sch Appl Math & Informat, Hanoi, Vietnam

[2] Univ West Georgia, Dept Math, Carrollton, GA 30118 USA

[3] Univ Econ & Tech Ind, Fac Basic Sci, Hanoi, Vietnam

[4] Hanoi Natl Univ Educ, Sch Gifted Students, Hanoi, Vietnam

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2015年 / 26卷 / 04期

关键词：

integro-differential equation; integral equation; Laplace transform; Fourier sine transform; Fourier cosine transform; convolution; 47A30; 44A35; 47B15; 45J05; 45E10; 33C10; INTEGRAL-TRANSFORMS; COSINE CONVOLUTION;

D O I：

10.1080/10652469.2014.1002781

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce two classes of integral transforms related to two generalized convolutions for the Fourier cosine, Fourier sine and Laplace transforms. The Watson type theorem for these transforms is also obtained. As applications we apply these convolutions to solve some classes of integral and integro-differential equations.

引用

页码：303 / 313

页数：11

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