Equivalence of different hereditary structures in ordinary differential equations

DOI10.1006/jdeq.1998.3461zbMath0912.34033OpenAlexW2065506558MaRDI QIDQ1268082

Anna Salvadori, Cristina Marcelli

Publication date: 13 December 1998

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

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3461

zbMATH Keywords

retarded differential equationshomeomorphismVolterra operatorshereditary structures

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25)

Cites Work

• Existence, uniqueness, and continuous dependence for hereditary differential equations
• Stability of functional differential equations
• Functional differential equations with infinite delay
• Ordinary and delay differential equations
• Introduction to functional differential equations
• Haar inequality in hereditary setting and applications
• Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
• Comparison theorems in hereditary structures and applications
• Time-lag control systems
• Differential equations: Stability, oscillations, time lags
• Existence, uniqueness and continuous dependence for hereditary systems
• Interaction among the theories of ordinary differential equations in various hereditary settings
• On the equivalence of different classes of hereditary systems
• Existence theorems for optimal control problems in hereditary structures
• A new graph topology. connections with the compact open topology
• Asymptotic behavior of solutions of differential-difference equations.
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