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Scientific Object Identifier: http://s-o-i.org/1.1/TAS-07-111-15
DOI: https://dx.doi.org/10.15863/TAS.2022.07.111.15
Language: Russian
Citation: Jo’raev, Sh. I. (2022). On equivalent linear integro-differential equations with given kernels. ISJ Theoretical & Applied Science, 07 (111), 135-139. Soi: http://s-o-i.org/1.1/TAS-07-111-15 Doi: https://dx.doi.org/10.15863/TAS.2022.07.111.15 |
Pages: 135-139
Published: 30.07.2022
Abstract: An elastic problem is considered and its analytical solution is constructed. Was proved the theorem that a linear differential equation with polynomial coefficients corresponds to an equivalent Voltaire type integral equation of the 2nd kind with degenerate kernels containing only power and exponential functions, and the exponents can be specified in advance. As an example, the Bessel equation is given.
Key words: differential equation, polynomial coefficient, images, integral equation, Bessel equation.
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