Results 21 to 30 of about 78 (78)
Modulation type spaces for generators of polynomially bounded groups and Schrödinger equations [PDF]
, 2018 We introduce modulation type spaces associated with the generators of polynomially bounded groups. Besides strongly continuous groups we study in detail the case of bi-continuous groups, e.g. weak-continuous groups in dual spaces.
Kunstmann, Peer Christian
core +2 more sources
Laplace transform generation theorems and local Cauchy problems
Abstract and Applied Analysis, Volume 2004, Issue 1, Page 69-90, 2004., 2004 We give new criterions to decide if some vector‐valued function is a local Laplace transform and apply this to the theory of local Cauchy problems. This leads to an improvement of known results and new Hille‐Yosida‐type theorems for local convoluted semigroups.
Claus Müller
wiley +1 more source
Applications of Stochastic Semigroups to Queueing Models
Annales Mathematicae Silesianae, 2019 Non-markovian queueing systems can be extended to piecewise-deterministic Markov processes by appending supplementary variables to the system. Then their analysis leads to an infinite system of partial differential equations with an infinite number of ...
Gwiżdż Piotr
doaj +1 more source
Asymptotic almost periodicity of C‐semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 2, Page 65-73, 2003., 2003 Let {T(t)}t≥0 be a C‐semigroup on a Banach space X with generator A. We will investigate the asymptotic almost periodicity of {T(t)} via the Hille‐Yosida space of its generator.
Linghong Xie, Miao Li, Falun Huang
wiley +1 more source
Continuous convolution hemigroups integrating a sub-multiplicative function [PDF]
, 2009 Unifying and generalizing previous investigations for vector spaces and for locally compact groups, E. Siebert obtained the following remarkable result: A Lévy process on a completely metrizable topological group G, resp.
Hazod, Wilfried
core +1 more source
The Kneser property for abstract retarded functional differential equations with infinite delay
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 26, Page 1645-1661, 2003., 2003 We establish existence of mild solutions for a class of semilinear first‐order abstract retarded functional differential equations (ARFDEs) with infinite delay and we prove that the set consisting of mild solutions for this problem is connected in the space of continuous functions.
Hernán R. Henríquez
wiley +1 more source
Linear neutral partial differential equations: a semigroup approach
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 23, Page 1433-1445, 2003., 2003 We study linear neutral PDEs of the form (∂/∂t)Fut = BFut + Φut, t ≥ 0; u0(t) = φ(t), t ≤ 0, where the function u(⋅) takes values in a Banach space X. Under appropriate conditions on the difference operator F and the delay operator Φ, we construct a C0‐semigroup on C0(ℝ−, X) yielding the solutions of the equation.
Rainer Nagel, Nguyen Thieu Huy
wiley +1 more source
Topological structure of solution sets of differential inclusions: the constrained case
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 325-351, 2003., 2003 We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so‐called regular and strictly regular ...
Wojciech Kryszewski
wiley +1 more source
On the mild solutions of higher‐order differential equations in Banach spaces
Abstract and Applied Analysis, Volume 2003, Issue 15, Page 865-880, 2003., 2003 For the higher‐order abstract differential equation u(n)(t) = Au(t) + f(t), t ∈ ℝ, we give a new definition of mild solutions. We then characterize the regular admissibility of a translation‐invariant subspace ℳ of BUC(ℝ, E) with respect to the above‐mentioned equation in terms of solvability of the operator equation AX − X𝒟n = C.
Nguyen Thanh Lan
wiley +1 more source