On the general solution of the ultrahyperbolic Bessel operator

DOI10.1155/2011/579645zbMath1235.35200OpenAlexW2087245853WikidataQ58693245 ScholiaQ58693245MaRDI QIDQ410454

Rattapan Damkengpan, Kamsing Nonlaopon

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/579645

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) General theory of partial differential operators (47F05) Pseudohyperbolic equations (35L82)

Related Items (2)

On the inversion of Bessel ultrahyperbolic kernel of Marcel Riesz ⋮ On the inverse Bessel diamond kernel of Marcel Riesz

Cites Work

• On the solutions of the \(n\)-dimensional diamond operator
• On the convolution equation related to the diamond kernel of Marcel Riesz
• The solutions of the \(n\)-dimensional Bessel diamond operator and the Fourier-Bessel transform of their convolution
• On the nonlinear Diamond operator related to the wave equation
• On the diamond operator related to the wave equation.
• The product of convolution \(P_ \pm^ \lambda*P_ \mp^ \mu\) and the multiplicative product \(P_ \pm^ \lambda\cdot \delta^{(k)}(P_ \pm)\)
• The distributional product of Dirac's delta in a hypercone
• On the convolution equation related to the \(N\)-dimensional ultra-hyperbolic operator
• On the weak solutions of the compound Bessel ultra-hyperbolic equation
• On the Bessel diamond and the nonlinear Bessel diamond operator related to the Bessel wave equation
• Homogeneous games for automata and their computer simulation
• Generalization of distributional product of Dirac's delta in hypercone
• The Distributional Hankel Transform of Marcel Riesz's Ultrahyperbolic Kernel
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