On the solvability of linear singular functional differential equations
Eugene Bravyi
TL;DR
This paper establishes necessary and sufficient conditions for solving boundary value problems involving a class of functional differential equations with non-integrable singularities, advancing understanding of their solvability.
Contribution
It provides the first comprehensive criteria for the solvability of such singular functional differential equations.
Findings
Derived necessary and sufficient solvability conditions.
Characterized boundary value problem solutions.
Extended theory to equations with non-integrable singularities.
Abstract
Necessary and sufficient conditions for the solvability of boundary value problems for a family of functional differential equations with a non-integrable singularity are obtained.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Differential Equations and Numerical Methods · Nonlinear Differential Equations Analysis