Stability of neutral-type functional differential equations

DOI10.1016/0362-546X(82)90009-8zbMath0494.34052MaRDI QIDQ3957272

Valerij R. Nosov, V. B. Kolmanovskij

Publication date: 1982

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

instabilityapplicationsneutral-type functional differential equationsLyapunov's direct methodstationary equationsstochastic neutral equationspositive semidefinite functionals

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20)

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Exponential boundedness of solutions for impulsive delay differential equations, Almost sure exponential stability for stochastic neutral partial functional differential equations, Numerical algorithm for the variable-order Caputo fractional functional differential equation, Retarded Neutral Stochastic Equations Driven by Multiplicative Fractional Brownian Motion, Differential-difference inequalities with unbounded delays and their applications, Exponential behavior of neutral impulsive stochastic integro-differential equations driven by Poisson jumps and Rosenblatt process, A note on delay robustness for homogeneous systems with negative degree, Positive solutions of second-order delay differential equations with a damping term, Homogeneity of neutral systems and accelerated stabilization of a double integrator by measurement of its position, Converse Lyapunov-Krasovskii theorem for ISS of neutral systems in Sobolev spaces, Neutral fuzzy fractional functional differential equations, A simple stability criterion for a linear system of neutral integro-differential equations, Delayed sliding mode control, Existence and exponential stability for neutral stochastic integrodifferential equations with impulses driven by a fractional Brownian motion, Asymptotic stability of fractional impulsive neutral stochastic partial integro-differential equations with infinite delay, Comments on finite-time stability of time-delay systems, Stability for some impulsive neutral stochastic functional integro-differential equations driven by fractional Brownian motion, Functional-differential equations in Sobolev spaces and related problems of spectral theory, Global and Local Weighted Homogeneity for Time-Delay Systems, Independent of delay stabilization using implicit Lyapunov function method, On estimation of rates of convergence in Lyapunov-Razumikhin approach, Existence and approximation of solution to neutral fractional differential equation with nonlocal conditions, Faedo-Galerkin approximation of solution for a nonlocal neutral fractional differential equation with deviating argument, Exponential stability for stochastic neutral partial functional differential equations, Stability analysis of switched homogeneous time-delay systems under synchronous and asynchronous commutation, Optimal control of bilinear hereditary systems of their applications, Stability of the second order delay differential equations with a damping term, Lyapunov--Krasovskii Functional for Discretized Homogeneous Systems, Converse Lyapunov–Krasovskii theorems for systems described by neutral functional differential equations in Hale's form, Stability of neutral-type functional differential equations

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