GCRIS :: Search

Search Results

Now showing 1 - 2 of 2

Citation - Scopus: 11
Existence of Solutions of the Dynamic Cauchy Problem in Banach Spaces
(Warsaw University, 2012) Cichon,M.; Kubiaczyk,I.; Sikorska-Nowak,A.; Yantir,A.
In this paper we obtain the existence of solutions and Carathéodory type solutions of the dynamic Cauchy problem in Banach spaces for functions defined on time scales xδ(t) = f(t, x(t)), x(0) = x0, t 2 Ia, where f is continuous or f satisfies Carathéodory conditions and some conditions expressed in terms of measures of noncompactness. The Mönch fixed point theorem is used to prove the main result, which extends these obtained for real valued functions.
Citation - WoS: 55
Citation - Scopus: 68
The h-laplace and q-laplace Transforms
(Academic Press inc Elsevier Science, 2010) Bohner, Martin; Guseinov, Gusein Sh.
Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the particular concepts of the h-Laplace and q-Laplace transforms. The convolution and inversion problems for these transforms are considered in some detail. (c) 2009 Elsevier Inc. All rights reserved.