Development and application of Halanay-type theory: Evolutionary differential and difference equations with time lag

DOI10.1016/j.cam.2010.01.027zbMath1196.65108OpenAlexW1980575401MaRDI QIDQ977384

Christopher T. H. Baker

Publication date: 22 June 2010

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2010.01.027

zbMATH Keywords

delay differential equationdifference/delay differential equationsdifference/differential inequalities with maximaHalanay's lemmaItô delay equationslinear \(\vartheta\)-methods

Mathematics Subject Classification ID

Related Items (16)

A new generalization of Halanay-type inequality and its applications ⋮ The peak-end rule and its dynamic realization through differential equations with maxima ^* ⋮ A nonlinear version of Halanay's inequality for the uniform convergence to the origin ⋮ Stability and observer designs using new variants of Halanay's inequality ⋮ A discrete Gronwall-Halanay-type inequality with infinite delay and its applications to difference equations ⋮ A discrete retarded Gronwall–Bellman type inequality and its applications to difference equations ⋮ Generalized Halanay inequalities for stability and dissipativity of stochastic functional differential equations ⋮ Halanay type inequalities on time scales with applications ⋮ Halanay inequality on time scales with unbounded coefficients and its applications ⋮ Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ Introduction to Halanay Lemma, via Weakly Picard Operator Theory ⋮ Sharp estimation for the solutions of delay differential and Halanay type inequalities ⋮ Stability and synchronization analysis of neural networks via Halanay-type inequality ⋮ Multi-dimensional discrete Halanay inequalities and the global stability of the disease free equilibrium of a discrete delayed malaria model ⋮ Analytical and numerical dissipativity of neutral functional differential equations ⋮ New criterion of asymptotic stability for delay systems with time-varying structures and delays

Uses Software

• RODAS

Cites Work

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