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    Linear System of the Volterra Integral Equations with a Polar Kernel
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    Abstract:
    This study are related Volterra integral equation with a polar kernel. Initial value problems for hyperbolic equations with function coefficients provides integral equation with 3-D Volterra type. Existence and uniqueness theorems of the Volterra integral equation a polar kernel are proved. Method of successive approximation used in the solutions of singular integral equations, existence and uniqueness theorems are emphasized
    Keywords:
    Kernel (algebra)
    Volterra equations
    The authors proposed a collocation method for solving a class of Volterra integral equations with weakly singular kernel.Firstly,we showed the existence and uniqueness of the solution by the contraction mapping theorem,and then constructed the collocation scheme for this kind of equations together with the error analysis.Finally,the numerical experiments verified our theoretical results.This numerical method is useful for general nonlinear Volterra integral equations.
    Kernel (algebra)
    Collocation (remote sensing)
    Contraction principle
    Citations (0)
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    Independent equation
    Citations (35)