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Lyapunov function and a basic inequality in delay-differential equations

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Publication:1131159
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DOI10.1007/BF00281197zbMath0109.31203MaRDI QIDQ1131159

Vangipuram Lakshmikantham

Publication date: 1962

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)


zbMATH Keywords

ordinary differential equations



Related Items (7)

Functional differential systems and extension of Lyapunov's method ⋮ On Cauchy Problem for First Order Nonlinear Functional Differential Equations of Non-Volterra's Type ⋮ Vector Lyapunov functions and conditional stability ⋮ Equations with unbounded delay: a survey ⋮ Integro-differential equations and extension of Lyapunov's method ⋮ Conditional invariant sets and functional differential equations ⋮ The method of Lyapunov-Razumikhin functions in stability analysis of systems with delay



Cites Work

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  • An inequality for approximate solutions of ordinary differential equations
  • Bounds on the Norm of a Solution of a General Differential Equation
  • Upper and Lower Bounds of the Norm of Solutions of Differential Systems
  • On the Existence of Solutions of Systems of Functional Differential Equations


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