Generalized solution of the Cauchy problem for hyperbolic equation with two lines of degeneracy of the second kind

DOI10.1134/S1995080222030076zbMath1486.35304OpenAlexW4297798925WikidataQ115525842 ScholiaQ115525842MaRDI QIDQ2121946

Yanyan Li

Publication date: 5 April 2022

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

Full work available at URL: https://doi.org/10.1134/s1995080222030076

zbMATH Keywords

Cauchy problemgeneralized solutionAppell hypergeometric functionexpansion formula for Pochhammer symbolhyperbolic equation with two lines of degeneracy of second kind

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Degenerate hyperbolic equations (35L80)

Related Items (1)

MULTIPLE EULER TYPE INTEGRAL REPRESENTATIONS FOR THE KAMP´E DE F´ERIET FUNCTIONS

Cites Work

• Inverse boundary value problem for a fractional differential equations of mixed type with integral redefinition conditions
• On solvability of a Poincaré-Tricomi type problem for an elliptic-hyperbolic equation of the second kind
• Unique solvability of a boundary value problem for a loaded fractional parabolic-hyperbolic equation with nonlinear terms
• Modified Cauchy problem for one degenerate hyperbolic equation of the second kind
• Fundamental solutions of the generalized Helmholtz equation with several singular coefficients and confluent hypergeometric functions of many variables
• Dirichlet problem for mixed type equation with characteristic degeneration and singular coefficient
• Nonlocal boundary-value problem for a parabolic-hyperbolic equation of the second kind
• The Mathematics of Computerized Tomography
• Fundamental Solutions for a Class of Multidimensional Elliptic Equations with Several Singular Coefficients
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