A nonlinear variation-of-constants formula for functional differential equations

DOI10.1007/BF01740726zbMath0248.34070OpenAlexW2079580112MaRDI QIDQ5662328

Gerald A. Shanholt

Publication date: 1973

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01740726

Mathematics Subject Classification ID

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

Related Items

Generalized variation-of-constants formula for nonlinear functional differential equations, Nonlinear variation of constants formula for differential equations with state-dependent delays, A new approach to the method of nonlinear variation of parameters for a perturbed nonlinear neutral functional differential equation, Universal laws for the control of global economic growth with nonlinear hereditary dynamics, Global attractivity in the delay logistic equation with variable parameters, Observations on evolutionary models with (or without) time lag, and on problematical paradigms, Perturbations of non-linear difference equations, Single species dynamics in changing environments, On delay differential equations with impulses, Perturbations of nonlinear systems of neutral type, An extension of the Alekseev variation of constant formula for neutral nonlinear perturbed equation with an application to the relative asymptotic equivalence, Uniform stability of perturbed non-linear systems of differential equations with time delay

Cites Work

• Unnamed Item
• Differential equations: Stability, oscillations, time lags
• Perturbations of nonlinear systems of differential equations. III
• On the stability of integral manifolds of functional differential equations
• Perturbations of nonlinear systems of differential equations. II
• Variation of Parameters for Nonlinear Differential-Difference Equations
• Perturbations of nonlinear systems of differential equations
• Functional differential equations