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On one solution of Volterra integral equations of second kind

2016; American Institute of Physics; Volume: 1773; Linguagem: Inglês

10.1063/1.4964969

1935-0465

Volodymyr Myrhorod, I. Hvozdeva,

Differential Equations and Boundary Problems

A solution of Volterra integral equations of the second kind with separable and difference kernels based on solutions of corresponding equations linking the kernel and resolvent is suggested. On the basis of a discrete functions class, the equations linking the kernel and resolvent are obtained and the methods of their analytical solutions are proposed. A mathematical model of the gas-turbine engine state modification processes in the form of Volterra integral equation of the second kind with separable kernel is offered.