Uniqueness of solutions of state dependent delay differential equations

DOI10.1016/0022-247X(74)90013-4zbMath0286.34112MaRDI QIDQ1846026

Elliot Winston

Publication date: 1974

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) General theory of functional-differential equations (34K05)

Related Items (11)

Boundary layer phenomena for differential-delay equations with state-dependent time lags: III. ⋮ An analysis on the stability of a state dependent delay differential equation ⋮ Uniqueness of solutions and linearized stability for impulsive differential equations with state-dependent delay ⋮ On solution manifolds of differential systems with discrete state-dependent delays ⋮ Abstract neutral differential equations with state‐dependent delay and almost sectorial operators ⋮ Superstability and rigorous asymptotics in singularly perturbed state-dependent delay-differential equations ⋮ Lyapunov-Razumikhin techniques for state-dependent delay differential equations ⋮ A neutral system with state-dependent delay. ⋮ Equations with unbounded delay: a survey ⋮ Investigating Irregular Behavior in a Model for the El Nin͂o Southern Oscillation with Positive and Negative Delayed Feedback ⋮ Merging homoclinic solutions due to state-dependent delay

Cites Work

• A two-body problem of classical electrodynamics: the one-dimensional case
• Differential equations: Stability, oscillations, time lags
• Asymptotic stability for one dimensional differential-delay equations
• Uniqueness of the zero solution for delay differential equations with state dependence
• Asymptotic Stability for Ordinary Differential Equations with Delayed Perturbations
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