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Kamsing Nonlaopon - One of the best experts on this subject based on the ideXlab platform.

  • on the convolution equation related to the diamond klein gordon operator
    Abstract and Applied Analysis, 2011
    Co-Authors: Amphon Liangprom, Kamsing Nonlaopon
    Abstract:

    We study the Distribution

  • on the convolution equation related to the klein gordon operator
    International journal of pure and applied mathematics, 2011
    Co-Authors: Amphon Liangprom, Kamsing Nonlaopon
    Abstract:

    In this paper, we study the Distribution ex (� + m 2 ) k �, where (� + m 2 ) k is the Klein-Gordon operator iterated k times defined by (1.14), k is a non-negative integer, � is the Dirac-delta Distribution, m is a non-negative real number, x = (x1,x2,...,xn) is a variable and � = (�1,�2,...,�n) is a constant and both are the points in the n-dimensional Euclidean spaces R n . At first, the properties of ex (�+m 2 ) kare studied and after that we study the application of ex (� + m 2 ) kfor solving the solution of the convolution equation ex (� + m 2 ) k � � u(x) = ex M X r=0 Cr(� + m 2 ) r �, where u(x) is the generalized function and Cr is a constant. It found that the type of solutions of this convolution equation, such as the ordinary function and the Singular Distribution depend on the relationship between the values of k and M.

Amphon Liangprom - One of the best experts on this subject based on the ideXlab platform.

  • on the convolution equation related to the diamond klein gordon operator
    Abstract and Applied Analysis, 2011
    Co-Authors: Amphon Liangprom, Kamsing Nonlaopon
    Abstract:

    We study the Distribution

  • on the convolution equation related to the klein gordon operator
    International journal of pure and applied mathematics, 2011
    Co-Authors: Amphon Liangprom, Kamsing Nonlaopon
    Abstract:

    In this paper, we study the Distribution ex (� + m 2 ) k �, where (� + m 2 ) k is the Klein-Gordon operator iterated k times defined by (1.14), k is a non-negative integer, � is the Dirac-delta Distribution, m is a non-negative real number, x = (x1,x2,...,xn) is a variable and � = (�1,�2,...,�n) is a constant and both are the points in the n-dimensional Euclidean spaces R n . At first, the properties of ex (�+m 2 ) kare studied and after that we study the application of ex (� + m 2 ) kfor solving the solution of the convolution equation ex (� + m 2 ) k � � u(x) = ex M X r=0 Cr(� + m 2 ) r �, where u(x) is the generalized function and Cr is a constant. It found that the type of solutions of this convolution equation, such as the ordinary function and the Singular Distribution depend on the relationship between the values of k and M.

Kundudebasis - One of the best experts on this subject based on the ideXlab platform.

Deyarabin Kumar - One of the best experts on this subject based on the ideXlab platform.

K Guptaarjun - One of the best experts on this subject based on the ideXlab platform.