Self-Similar Solutions for the Membrane Transverse Vibration Equation

In this article, it is constructed special solutions for a certain class of degenerating differential equations of hyperbolic type of a second order. Linearly independent solutions consisting of hypergeometric functions are found for the given partial differential equation of hyperbolic type. These...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2024-07, Vol.45 (7), p.3299-3303
Main Authors: Hasanov, A., Rashidov, S. G.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Geometry
Hypergeometric functions
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Partial differential equations
Probability Theory and Stochastic Processes
Self-similarity
Transverse oscillation
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Summary:In this article, it is constructed special solutions for a certain class of degenerating differential equations of hyperbolic type of a second order. Linearly independent solutions consisting of hypergeometric functions are found for the given partial differential equation of hyperbolic type. These self-similar solutions are expressed in terms of Gauss hypergeometric functions.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080224603990