GCRIS :: Search

Search Results

Now showing 1 - 3 of 3

Citation - WoS: 52
Citation - Scopus: 61
Basics of Riemann Delta and Nabla Integration on Time Scales
(Taylor & Francis Ltd, 2002) Guseinov, GS; Kaymakçalan, B
In this paper we introduce and investigate the concepts of Riemann's delta and nabla integrals on time scales. Main theorems of the integral calculus on time scales are proved.
On the Riemann Integration on Time Scales
(Crc Press-taylor & Francis Group, 2004) Guseinov, GS; Kaymakçalan, B
In this paper we introduce and investigate the concepts of Riemann's delta and nabla integrals on time scales. Main theorems of the integral calculus on time scales are proved.
Citation - WoS: 79
Citation - Scopus: 86
Lyapunov inequalities for discrete linear Hamiltonian systems
(Pergamon-elsevier Science Ltd, 2003) Guseinov, GS; Kaymakçalan, B
In this paper, we present some Lyapunov type inequalities for discrete linear scalar Hamiltonian systems when the coefficient c(t) is not necessarily nonnegative valued and when the end-points are not necessarily usual zeros, but rather, generalized zeros. Applying these inequalities, we obtain some disconjugacy and stability criteria for discrete Hamiltonian systems. (C) 2003 Elsevier Science Ltd. All rights reserved.