Статья

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

Lobachevskii Journal of Mathematicsjournal2024en

ABI

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.

Темы

Vibration and Dynamic Analysis Nonlinear Dynamics and Pattern Formation

Идентификаторы

DOI: 10.1134/s1995080224603990

Цитирования и источники

Цитирований: 0Использованных источников: 22

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