Existence and uniqueness of a periodic solution to certain third order nonlinear delay differential equation with multiple deviating arguments

DOI10.2478/AUSM-2014-0008zbMath1301.34084OpenAlexW2093415589WikidataQ115227964 ScholiaQ115227964MaRDI QIDQ399484

Adeleke Timothy Ademola

Publication date: 19 August 2014

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2014-0008

zbMATH Keywords

uniform asymptotic stabilitythird orderuniform ultimate boundednessexistence and uniqueness of periodic solutionnonlinear neutral delay differential equation

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)

Related Items (5)

Stability, boundedness, and existence of periodic solutions to certain third-order delay differential equations with multiple deviating arguments ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An \(\varepsilon \)-uniform numerical method for third order singularly perturbed delay differential equations with discontinuous convection coefficient and source term ⋮ Unnamed Item

Cites Work

• Existence of periodic solutions to nonlinear differential equations of third order with multiple deviating arguments
• 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
• Stability and boundedness of a kind of third-order delay differential system
• 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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