Stability, boundedness, and existence of periodic solutions to certain third-order delay differential equations with multiple deviating arguments

DOI10.1155/2015/213935zbMath1339.34072OpenAlexW1805873665WikidataQ59106895 ScholiaQ59106895MaRDI QIDQ274810

Adeleke Timothy Ademola, Olufemi Adeyinka Adesina, Michael O. Ogundiran, Babatunde S. Ogundare

Publication date: 25 April 2016

Published in: International Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/213935

zbMATH Keywords

Lyapunov's second method

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Growth, boundedness, comparison of solutions to functional-differential equations (34K12) Periodic solutions to functional-differential equations (34K13)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability and uniform boundedness in multidelay functional differential equations of third order
• Existence and uniqueness of a periodic solution to certain third order nonlinear delay differential equation with multiple deviating arguments
• Existence of periodic solutions to nonlinear differential equations of third order with multiple deviating arguments
• A new result on the stability of solutions of a nonlinear differential equation of third-order with finite lag
• Stability and boundedness of solutions of a kind of third-order delay differential equations
• Boundedness results for a certain third order nonlinear differential equation
• Stability and periodic solutions of ordinary and functional differential equations
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Theory of functional differential equations. 2nd ed
• Ordinary and delay differential equations
• Stability and boundedness of a kind of third-order delay differential system
• Uniform Ultimate Boundedness of Solutions of Third-Order Nonlinear Delay Differential Equations
• On the stability and boundedness of solutions of nonlinear third order differential equations with delay
• Uniformly boundedness of a class of non-linear differential equations of third order with multiple deviating arguments
• Volterra integral and differential equations

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