Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces (original) (raw)

Abstract

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This paper investigates the existence and uniqueness of solutions for first-order boundary value problems associated with impulsive functional differential equations that feature infinite delay within Fréchet spaces. The study develops theoretical results involving both functional and neutral impulsive equations by establishing a framework that demonstrates solution properties under specific conditions. Key contributions include the presentation of sufficient conditions for unique solvability and the presentation of methodological approaches to handling impulsive effects.

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