Topologies for neutral functional differential equations

DOI10.1016/0022-0396(73)90029-6zbMath0238.34101OpenAlexW1981203963MaRDI QIDQ2553000

William R. Melvin

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0022-0396(73)90029-6

Mathematics Subject Classification ID

General theory of functional-differential equations (34K05) Differential equations in abstract spaces (34G99)

Related Items

Smoothness of solutions for delay-difference equations, Control of interconnected nonlinear delay differential equations in \(W_ 2^{(1)}\), Functional boundary value problems and smoothness of solutions, Stability and fixed points of point-dissipative systems, The solution operator in Wp(1) for systems of neutral type, Differentiability with respect to delays, Continuity of fixed points, Stability properties of functional difference equations, Liapunov's direct method applied to neutral functional differential equations, Neutral functional differential equations in Lp-spaces and averaging approximations, Some generic properties of functional-differential equations of neutral type, Theory of equations of neutral type

Cites Work

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• Circular orbits in classical relativistic two-body systems
• Existence and continuous dependence of solutions of a neutral functional- differential equation
• A tableau proof method admitting the empty domain
• Existence, uniqueness and continuous dependence for hereditary systems
• Some extensions of the Krasnoselskii fixed point theorems
• A class of functional equations of neutral type