About Solution of the Nonlinear Generalized Abel Integral Equation

Burkhan Kalimbetov

Abstract


As is known, many problems of electronics, nuclear physics, optics and astrophysics, etc. are described by the Abel integral equation of the first kind. In this paper we consider the nonlinear generalized Abel equation and show that its solution can be represented as an integral of a power function. It is shown that the constructed analytical solution and the symbolic solution obtained by means of the computer mathematics system Maple coincides, and their planar and spatial graphs are presented.


Keywords


integral equation, Abel integral equation, tautochron problem, improper integral, Euler integral, computer mathematics system Maple.

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References


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DOI: https://doi.org/10.24203/ajfam.v7i1.5620

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