Semilinear functional difference equations with infinite delay
نویسندگان
چکیده
منابع مشابه
Semilinear functional difference equations with infinite delay
We obtain boundness and asymptotic behavior of solutions for semilinear functional difference equations with infinite delay. Applications on Volterra difference equations with infinite delay are shown.
متن کاملViability for Semilinear Differential Equations with Infinite Delay
Let X be a Banach space, A : D(A) ⊂ X → X the generator of a compact C0-semigroup S(t) : X → X, t ≥ 0, D(·) : (a, b)→ 2X a tube in X, and f : (a, b)×B → X a function of Carathéodory type. The main result of this paper is that a necessary and sufficient condition in order that D(·) be viable of the semilinear differential equation with infinite delay u′(t) = Au(t) + f (t, ut), t ∈ [t0, t0 + T], ...
متن کاملResearch Article Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay
We describe a semigroup of abstract semilinear functional differential equations with infinite delay by the use of the Crandall Liggett theorem. We suppose that the linear part is not necessarily densely defined but satisfies the resolvent estimates of the Hille-Yosida theorem. We clarify the properties of the phase space ensuring equivalence between the equation under investigation and the non...
متن کاملOn Linear Volterra Difference Equations with Infinite Delay
Motivated by the old but significant papers by Driver [3] and Driver et al. [5], a number of relevant papers has recently appeared in the literature. See Frasson and Verduyn Lunel [10], Graef and Qian [11], Kordonis et al. [16], Kordonis and Philos [19], Kordonis et al. [21], Philos [26], and Philos and Purnaras [28, 30, 35, 33, 36]. The results in [10, 11, 16, 26, 28, 30, 35, 36] concern the l...
متن کاملA Note on Discrete Maximal Regularity for Functional Difference Equations with Infinite Delay
The maximal regularity problem for the discrete time evolution equations has been recently considered by Blunck [4, 5]. Discrete maximal regularity properties appears not to be considered in the literature before the paper [5]. The continuous maximal regularity problem for time evolution equations is well-know (see [1, 4, 5, 19, 20] and the reference contained therein). In the present paper we ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2012
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2011.09.033