An application of measures of noncompactness in the investigation of boundedness of solutions of second-order neutral difference equations

DOI10.1186/1687-1847-2013-91zbMath1380.39008OpenAlexW2150126740WikidataQ59303222 ScholiaQ59303222MaRDI QIDQ1693555

Ewa Schmeidel

Publication date: 31 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-91

zbMATH Keywords

stabilityboundednessmeasures of noncompactnessEmden-Fowler equationdifference equationDarbo's fixed point theorem

Mathematics Subject Classification ID

Additive difference equations (39A10) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)

Related Items (9)

Trichotomy of nonoscillatory solutions to second-order neutral difference equation with quasi-difference ⋮ Existence of uncountably many bounded positive solutions to higher-order nonlinear neutral delay difference equations ⋮ Nonlocal type asymptotic behavior for solutions of second order difference equations ⋮ On the convergence of solutions to second-order neutral difference equations ⋮ Asymptotically zero solution of a class of higher nonlinear neutral difference equations with quasidifferences ⋮ Bounded solutions and asymptotic stability of nonlinear second-order neutral difference equations with quasi-differences ⋮ Uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations ⋮ Controllability of nonlocal impulsive functional differential equations with measure of noncompactness in Banach spaces ⋮ Bounded solutions to nonhomogeneous linear second-order difference equations

Cites Work

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