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math.DS2012
Solution to the Volterra Matrix Equation of the 1st kind with Piecewise Continuous Kernels
Denis Sidorov
In this text matrix Volterra integral equation of the first kind is addressed. It is assumed that kernels of the equation have jump discontinuities on non-intersecting curves. Such…
math.DS2012
Solution to the Volterra Operator Equations of the 1st kind with Piecewise Continuous Kernels
Denis Sidorov, Nikolai Sidorov
The sufficient conditions for existence and uniqueness of continuous solutions of the Volterra operator equations of the first kind with piecewise continuous kernel are derived. Th…
math-ph2012★ 2 cited
Solution to the Volterra integral equations of the first kind with piecewise continuous kernels in class of Sobolev-Schwartz distributions
Denis Sidorov
Sufficient conditions for existence and uniqueness of the solution of the Volterra integral equations of the first kind with piecewise continuous kernels are derived in framework o…