Open Access

An Asymptotic Result for neutral differential equations

   | Mar 31, 2020

Cite

Ardjouni, A., Djoudi, A.: Fixed points and stability in linear neutral differential equations with variable delays. Nonlinear Analysis. 74, 2062–2070 (2011).ArdjouniA.DjoudiA.Fixed points and stability in linear neutral differential equations with variable delaysNonlinear Analysis7420622070201110.1016/j.na.2010.10.050Search in Google Scholar

Bellman, R., Cooke K. L.: Differential-Difference Equations. Academic Press, New York (1963).BellmanR.CookeK. L.Differential-Difference EquationsAcademic PressNew York196310.1063/1.3050672Search in Google Scholar

Driver, R. D.: A mixed neutral system. Nonlinear Anal. 8, 155–158 (1984).DriverR. D.A mixed neutral systemNonlinear Anal8155158198410.1016/0362-546X(84)90066-XSearch in Google Scholar

Burton, T. A., Frumochi T.: Fixed points and problems in stability theory for ordinary and functional differential equations. Dynam. Systems Appl. 10, 89–116 (2001).BurtonT. A.FrumochiT.Fixed points and problems in stability theory for ordinary and functional differential equationsDynam. Systems Appl.10891162001Search in Google Scholar

Burton, T. A.: Stability by fixed point theory for functional differential equations. Dover Publications. New York (2006).BurtonT. A.Stability by fixed point theory for functional differential equationsDover PublicationsNew York2006Search in Google Scholar

Burton, T. A., Frumochi T.: Asymptotic behavior of solutions of functional differential equations by fixed point theorems. Dynamic Systems and Applications. 11, 499–519 (2002).BurtonT. A.FrumochiT.Asymptotic behavior of solutions of functional differential equations by fixed point theoremsDynamic Systems and Applications114995192002Search in Google Scholar

Dib, Y. M., Maroun, M. R., Raffoul Y. N.: Periodicity and stability in neutral nonlinear differential equations with functional delay. Electronic Journal od Differential Equations. 142, 1–11 (2005).DibY. M.MarounM. R.RaffoulY. N.Periodicity and stability in neutral nonlinear differential equations with functional delayElectronic Journal od Differential Equations1421112005Search in Google Scholar

Dix, JG., Philos, CG., Purnaras, IK.: Asymptotic properties of solutions to linear non-autonomous neutral differential equations. J. Math. Anal. Appl. 318, 296–304 (2006).DixJG.PhilosCG.PurnarasIK.Asymptotic properties of solutions to linear non-autonomous neutral differential equationsJ. Math. Anal. Appl.318296304200610.1016/j.jmaa.2005.06.005Search in Google Scholar

Pinelas S.: Asymptotic Behavior of solutions to mixed type differential equations. Electronic Journal of Differential Equations. 210, 1–9 (2014).PinelasS.Asymptotic Behavior of solutions to mixed type differential equationsElectronic Journal of Differential Equations21019201410.1186/1687-1847-2014-327Search in Google Scholar

Chen G.: A fixed point approach towards stability of delay differential equations with applications to neural networks. Ph. D. Thesis, Leiden University, Leiden (2013).ChenG.A fixed point approach towards stability of delay differential equations with applications to neural networksPh. D. ThesisLeiden UniversityLeiden2013Search in Google Scholar

Hadeler K.P.: Neutral delay equations from and for population dynamics. Electron. J. Qual. Theory Differ. Equ. 11, 1–18 (2008).HadelerK.P.Neutral delay equations from and for population dynamicsElectron. J. Qual. Theory Differ. Equ.11118200810.14232/ejqtde.2007.7.11Search in Google Scholar

Philos, Ch. G., Purnaras I. K.: Asymptotic properties, nonoscillation, and stability for scalar first order linear autonomous neutral delay differential equations. Electron. J. Differential Equations. 1–17 (2004).PhilosCh. G.PurnarasI. K.Asymptotic properties, nonoscillation, and stability for scalar first order linear autonomous neutral delay differential equationsElectron. J. Differential Equations.1172004Search in Google Scholar

Philos, Ch. G., Purnaras, I. K.: Behavior of the solutions to second order linear autonomous delay differential equations. Electron. J. Differential Equations. 106, 1–35 (2007).PhilosCh. G.PurnarasI. K.Behavior of the solutions to second order linear autonomous delay differential equationsElectron. J. Differential Equations.1061352007Search in Google Scholar

Philos, Ch. G., Purnaras, I. K.: An asymptotic property of the solutions to second order linear nonautonomous delay differential equations, Math. Comput. Modelling. 49, 1350–1358 (2009).PhilosCh. G.PurnarasI. K.An asymptotic property of the solutions to second order linear nonautonomous delay differential equationsMath. Comput. Modelling.4913501358200910.1016/j.mcm.2008.11.007Search in Google Scholar

Tunç,. Stability and boundedness for a kind of non-autonomous differential equations with constant delay, Applied Mathematics and Information Sciences, vol. 7, no. 1, pp. 355–361, (2013).TunçStability and boundedness for a kind of non-autonomous differential equations with constant delayApplied Mathematics and Information Sciences71355361201310.12785/amis/070144Search in Google Scholar

eISSN:
2444-8656
Language:
English
Publication timeframe:
Volume Open
Journal Subjects:
Life Sciences, other, Mathematics, Applied Mathematics, General Mathematics, Physics