Existence and uniqueness of the global solution of the initial value problem for neutral type differential-functional equations in Banach space

DOI10.1016/0362-546X(80)90040-1zbMath0428.34043OpenAlexW2050244258MaRDI QIDQ3864851

D. D. Bainov, Vasil G. Angelov

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(80)90040-1

zbMATH Keywords

global solutioninitial value problemaccretive operatorsequationsdifferential-functional

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) General theory of functional-differential equations (34K05) Linear differential equations in abstract spaces (34G10)

Related Items (3)

On nonlinear Volterra integral equations with state dependent delays in several variables ⋮ Explicit abstract neutral differential equations with state-dependent delay: existence, uniqueness and local well-posedness ⋮ Control barrier functionals: Safety‐critical control for time delay systems

Cites Work

• On the global existence of solutions of a functional-differential equation
• Theory of functional differential equations. 2nd ed
• Ordinary and delay differential equations
• Accretive operators and existence for nonlinear functional differential equations
• SOME HARMLESS DELAYS
• On the Cauchy Problem for Differential-Delay Equations in a Banach Space
• A Global Existence Theorem for a Nonautonomous Differential Equation in a Banach Space
• Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
• On the existence and uniqueness of solutions of systems of differential equations with a deviated argument
• On the existence and uniqueness of solutions of a certain integral-functional equation
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