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The Reproducing Kernel Hilbert Space Method for Solving System of Linear Weakly Singular Volterra Integral Equations

open access: yesJOURNAL OF ADVANCES IN MATHEMATICS, 2018
The exact solutions of a system of linear weakly singular Volterra integral equations (VIE) have been a difficult to find.  The aim of this paper is to apply reproducing kernel Hilbert space (RKHS) method to find the approximate solutions to this type of systems. At first, we used Taylor's expansion to omit the singularity.  From an expansion the given
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Control of Linear Inhomogeneous Systems by the Methods of Singular Integral Equations

open access: yesVisnyk of Vinnytsia Politechnical Institute, 2018
A. V. Usov, M. V. Kunitsyn
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