An extension of Liapunov's direct method

DOI10.1016/0022-247X(69)90007-9zbMath0187.34201MaRDI QIDQ2536559

Theodore Allen Burton

Publication date: 1969

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

zbMATH Keywords

ordinary differential equations

Related Items (14)

On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Stability of bounded and unbounded sets for ordinary differential equations ⋮ Global asymptotic stability for half-linear differential systems with generalized almost periodic coefficients ⋮ Liapunov functions and boundedness and global existence of solutions ⋮ On the partial stability and convergence of motions ⋮ Asymptotic stability and boundedness for functional differential equations ⋮ Generalized Liapunov functions ⋮ On the uniform attractivity of solutions of ordinary differential equations by two Lyapunov functions ⋮ Generalized Liapunov functions ⋮ On Liapunov functions for nonautonomous systems ⋮ Liapunov functions and boundedness ⋮ Differential inequalities for Liapunov functions ⋮ Attractivity of closed sets proved by using a family of Liapunov functions ⋮ Correction to An extension of Liapunov's direct method

Cites Work

• Stability by Liapunov's direct method. With applications
• Stability theory for ordinary differential equations
• Liapunov functions and global existence
• The Generalized Lienard Equation
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