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EXISTENCE OF PERIODIC SOLUTION FOR A KIND OF THIRD-ORDER GENERALIZED NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER
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作者 A.M.Mahmoud e.s.farghaly 《Annals of Applied Mathematics》 2018年第3期285-301,共17页
In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient con... In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient conditions for the existence of periodic solution for the equation. An example is also provided. 展开更多
关键词 existence of periodic solution third-order neutral functional differential equation variable parameter Mawhin's continuation theorem coincidence degree
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STABILITY OF SOLUTIONS FOR CERTAIN THIRD-ORDER NONLINEAR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS
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作者 A.M.A.Abou-El-Ela A.I.Sadek +1 位作者 A.M.Mahmoud e.s.farghaly 《Annals of Applied Mathematics》 2015年第3期253-261,共9页
In this paper, we investigate stochastic asymptotic stability of the zero solution for certain third-order nonlinear stochastic delay differential equations by constructing Lyapunov functionals.
关键词 asymptotic stability Lyapunov functional stochastic delay differen-tial equations third-order nonlinear differential equations
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