RETRACTED: Asymptotic constancy for a differential equation with multiple state-dependent delays
نویسندگان
چکیده
منابع مشابه
Differential transformation method for solving a neutral functional-differential equation with proportional delays
In this article differential transformation method (DTMs) has been used to solve neutral functional-differential equations with proportional delays. The method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. Exact solutions can also be obtained from the kno...
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We study the dynamics of a linear scalar delay differential equation εu̇(t) = −γu(t) − N ∑ i=1 κiu(t− ai − ciu(t)), which has trivial dynamics with fixed delays (ci = 0). We show that if the delays are allowed to be linearly state-dependent (ci 6= 0) then very complex dynamics can arise, when there are two or more delays. We present a numerical study of the bifurcation structures that arise in t...
متن کاملdifferential transformation method for solving a neutral functional-differential equation with proportional delays
in this article differential transformation method (dtms) has been used to solve neutral functional-differential equations with proportional delays. the method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. exact solutions can also be obtained from the kno...
متن کاملdifferential transformation method for solving a neutral functional-differential equation with proportional delays
in this article differential transformation method (dtms) has been used to solve neutral functional-differential equations with proportional delays. the method can simply be applied to many linear and nonlinear problems and is capable of reducing the size of computational work while still providing the series solution with fast convergence rate. exact solutions can also be obtained from the kno...
متن کاملDifferentiable Semiflows for Differential Equations with State-dependent Delays
as usual. In more general cases, the right hand side of the differential equation contains more arguments. It also happens that the delay is given only implicitly by an equation which involves the history xt of the state. Differential equations with state-dependent delay share the property that the results on the uniqueness and dependence on initial data from the theory of retarded functional d...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2009
ISSN: 0377-0427
DOI: 10.1016/j.cam.2009.07.023