The Existence of a Solution for Semi-Linear Abstract Differential Equations With Infinite B-Chains of the Characteristic Sheaf

Abstract

Initial-value problems for a semi-linear differential operator equations with singular linear part are considered. The existence of the infinite B−chains for the characteristic sheaf λA + B is assumed. In this case conditions for solvability have been obtained. The results are applied to a mixed problem for a partial differential equation.

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New Theorems in Solving Families of Improper Integrals

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