Solution of a characteristic problem for the third order pseudoparabolic equation with the Bessel operator by the method of transmutation operators

DOI10.1134/S1995080223080267MaRDI QIDQ6140434

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Publication date: 22 January 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Bessel operatorpseudoparabolic equationRiemann methodErdélyi-Kober operatortransmutation operatorthird-order pseudoparabolic equation

Mathematics Subject Classification ID

Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Fractional partial differential equations (35R11)

Cites Work

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• On problems reduced to the Goursat problem for a third order equation
• Pseudoparabolic equation of the third order
• On a method for constructing the Riemann function for partial differential equations with a singular Bessel operator
• Method of solving the Cauchy problem for one-dimensional polywave equation with singular Bessel operator
• Multidimensional generalized Erdélyi-Kober operator and its application to solving Cauchy problems for differential equations with singular coefficients
• Pseudoparabolic equations in one space variable
• On some generalizations of properties of the Lowndes operator and their applications to partial differential equations of high order

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