\(h\)-asymptotic stability by fixed point in neutral nonlinear differential equations with delay

DOI10.1016/j.na.2011.02.029zbMath1237.34129OpenAlexW2053807857MaRDI QIDQ544159

Daniel Sepúlveda, Manuel Pinto

Publication date: 14 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/131727

zbMATH Keywords

stabilityintegro-differential equationsfixed point theoremsneutral nonlinear differential equation

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20)

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Variationally stable dynamic systems on time scales ⋮ New criteria for stability of neutral differential equations with variable delays by fixed points method ⋮ Asymptotic stability of neutral set-valued functional differential equation by fixed point method ⋮ New class of perturbations for nonuniform exponential dichotomy roughness ⋮ Existence and roughness of nonuniform exponential dichotomies on time scales ⋮ Stability results for neutral stochastic functional differential equations via fixed point methods ⋮ On positive solutions of a fourth order nonlinear neutral delay difference equation ⋮ Green's function for periodic solutions in alternately advanced and delayed differential systems ⋮ Global asymptotic stability of nonlinear neutral differential equation

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