Self-Similar Solutions for the Membrane Transverse Vibration Equation
Anvar HasanovRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanСардор РашидовRomanovskii Institute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, Uzbekistan
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Аннотация
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.
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