Existence of solutions and Kamke's theorem for functional differential equations in Banach spaces

DOI10.1016/0022-0396(89)90125-3zbMath0692.34066OpenAlexW1988553408MaRDI QIDQ583458

Jong Son Shin

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90125-3

zbMATH Keywords

Banach spaceKamke function

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Linear differential equations in abstract spaces (34G10)

Related Items

Comparison theorems and uniqueness of mild solutions to semilinear functional differential equations in Banach spaces, Existence and continuous dependence of mild solutions to semilinear functional differential equations in Banach spaces, Existence results for functional differential inclusions with infinite delay, Existence and continuous dependence results for semilinear functional differential inclusions with infinite delay

Cites Work

• Kamke's theorem and the dependence of solutions for delay differential equations
• Uniqueness and global convergence of successive approximations for solutions of functional integral equations with infinite delay
• Global convergence of successive approximations of solutions for functional differential equations with infinite delay
• Some generic properties of functional differential equations in Banach spaces
• Some considerations to the fundamental theory of infinite delay equations
• Existence of solutions for ordinary differential equations in Banach spaces
• On linear autonomous retarded equations with an abstract phase space for infinite delay
• Wazewski's principle for retarded functional differential equations
• The generic property of existence of solutions of differential equations in Banach space
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