On the Solvability of a Class of Volterra Operator Equations of the First Kind with Piecewise Continuous Kernels

Статья в журнале

Sidorov D.N., Sidorov N.A.

Журнал: Mathematical Notes

Mathematical Notes. Vol.96. No.5-6. P.811-826.

2014

We obtain sufficient conditions for the existence and uniqueness of continuous solutions of Volterra operator equations of the first kind with piecewise determined kernels. For the case in which the solution is not unique, we prove existence theorems for the parametric families of solutions and present their asymptotics in the form of logarithmic polynomials.

Библиографическая ссылка

Sidorov D.N., Sidorov N.A. On the Solvability of a Class of Volterra Operator Equations of the First Kind with Piecewise Continuous Kernels // Mathematical Notes. Vol.96. No.5-6. 2014. P.811-826. DOI: 10.1134/S0001434614110170 http://rd.springer.com/article/10.1134%2FS0001434614110170

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volterra operator equation