System of nonlinear Volterra’s integral equations with polar kernel and singularities
Copyright policy )System of nonlinear Volterra’s integral equations with polar kernel and singularities
Using one special Colombeau algebra and the method of regularization of fractional derivatives with a delta sequence, the author proves the existence and the uniqueness of the solution of a system of nonlinear Volterra integral equations with polar kernel. In proving the existence-uniqueness theorem, other singularities are regularized with delta sequences with other growth.
- University of Novi Sad Serbia
regularization with delta sequences, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Colombeau algebra, Volterra integral equations, Topological linear spaces of test functions, distributions and ultradistributions, system of nonlinear Volterra integral equations with polar kernel, existence-uniqueness theorems
regularization with delta sequences, Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.), Colombeau algebra, Volterra integral equations, Topological linear spaces of test functions, distributions and ultradistributions, system of nonlinear Volterra integral equations with polar kernel, existence-uniqueness theorems
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