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
A. V. Usov, M. V. Kunitsyn
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On an infinite system of non-linear singular integral equations in a Euclidean space [PDF]
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Asymptotic integration of a nonhomogeneous singular linear system of ordinary differential equations
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Innovative solutions for lossy nonlinear transmission lines model using a modified extended mapping approach with fractional effects. [PDF]
Hussein HH, Alexan W, Kandil SA.
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Stability of Partially Congested Travelling Wave Solutions for the Dissipative Aw-Rascle System. [PDF]
Deléage É, Mehmood MA.
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Dynamical study of different types of soliton solutions with bifurcation, chaos and sensitivity analysis to the non-linear coupled Schrödinger model. [PDF]
Nasir R +5 more
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ON SOME NON-LINEAR SYSTEM OF SINGULAR INTEGRAL EQUATIONS IN THE THEORY OF ELASTICITY
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Dynamics of soliton propagation: bifurcation, chaos, and quantitative insights into the modified Camassa-Holm equation. [PDF]
Alam MN +5 more
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Parabolic-elliptic and indirect-direct simplifications in chemotaxis systems driven by indirect signalling. [PDF]
Bui LTT, Huynh TKL, Tang BQ, Tran BN.
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