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On the solution by determinantal series to Volterra integral equation of the second kind with convolution-type kernel. (Chinese. English summary) Zbl 0658.45002

Authors’ summary: A solution by determinantal series to Volterra integral equations of the second kind with convolution-type kernel is given. This new method can be used to solve the initial value problem of linear differential equations with constant coefficients.
Reviewer: Wang Zhicheng

MSC:

45D05 Volterra integral equations
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
34A30 Linear ordinary differential equations and systems