Quasi-solutions, vector Lyapunov functions, and monotone method

DOI10.1109/TAC.1981.1102771zbMath0505.34044OpenAlexW2014188090MaRDI QIDQ4740859

S. G. Leela, M. Namik Oguztoereli, Vangipuram Lakshmikantham

Publication date: 1981

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.1981.1102771

zbMATH Keywords

large scale systemsdifferential inequalitiesquasi-solutionsupper-solution lower- solutions

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Differential inequalities involving functions of a single real variable (34A40)

Related Items

Method of quasi-upper and lower solutions in abstract cones ⋮ A monotone iterative scheme for nonlinear reaction-diffusion systems having nonmonotone reaction terms ⋮ On application of the Lyapunov matrix-functions in the theory of stability ⋮ Existence theorems for a class of functional differential systems ⋮ Vector Lyapunov functions and the technique in perturbation theory ⋮ Monotone iterative technique for differential equations in a Banach space ⋮ Positive solutions for nonlinear operator equations and several classes of applications ⋮ Application of the monotone-iterative techniques of V. Lakshmikantham for solving the initial value problem for impulsive differential-difference equations