Showing papers in "Miskolc Mathematical Notes in 2001"
TL;DR: In this paper, an approximation process on an unbounded interval representing an integral form in the Kantorovich sense of K. Balazs operators is studied and the degree of approximation in some function spaces pointing out the relationship between the local smoothness of functions and the local approximation.
Abstract: The paper is devoted to the study of an approximation process on an unbounded interval representing an integral form in Kantorovich sense of K. Balazs operators. We es- tablish the degree of approximation in some function spaces pointing out the relationship between the local smoothness of functions and the local approximation. By using the mod- ulus of variation, the approximation property in discontinuity points is also examined.
31 citations
TL;DR: In this paper, the weak McShane integral and the Pettis integral are shown to be equivalent if and only if the Banach space X contains no copy of c0.
Abstract: In this paper, we define a concept of the weak McShane integral for functions mapping a compact interval I0 in R into a Banach space X and discuss the relation between the weak McShane integral and the Pettis integral. We show that the weak McShane integral and the Pettis integral are equivalent if and only if the Banach space X contains no copy of c0. Further, combining the properties of the McShane integral and Pettis integral, we get some equivalent statements concerning the McShane integral and the Pettis integral. Mathematical Subject Classification: 28B05, 46G10, 26A39
10 citations
8 citations
8 citations
TL;DR: In this paper, the numerical analytic method combined with the comparison one based on suc- cessive approximations is used to investigate solutions of implicit differential equations with integral boundary conditions. But this method does not consider implicit systems of the neutral type with deviated arguments.
Abstract: The numerical—analytic method combined with the comparison one based on suc- cessive approximations is used to investigate solutions of implicit differential equations with integral boundary conditions. Implicit systems of the neutral type with deviated arguments are also considered.
7 citations
TL;DR: In this paper, the existence of solutions on a compact interval to a three-point boundary value problem for a class of second order differential inclusions was investigated, based on a fixed point theorem for condensing maps due to Martelli.
Abstract: In this paper we investigate the existence of solutions on a compact interval to a three-point boundary value problem for a class of second order differential inclusions. We shall rely on a fixed point theorem for condensing maps due to Martelli. Mathematical Subject Classification: 34A60, 34B10, 34B15
7 citations
4 citations
4 citations
TL;DR: Numerical experiments show that the different block implementations of the block version of the implicit LU algorithm in the ABS class have similar accuracy.
Abstract: We theoretically describe different implementations of the block version of the implicit LU algorithm in the ABS class. We also consider the special block ABS algorithm proposed in [3], showing that it corresponds to a version of the block implicit LU algorithm, with blocksize equal to two, when the coefficient matrix is diagonally dominant. Numerical experiments show that the different block implementations have similar accuracy. Mathematical Subject Classification: 65F05
1 citations
TL;DR: In this article, the authors gave a proof for the existence of periodic orbits by Hopf bifurcation in non-symmetric May-Leonard systems with respect to the Hopf conjecture.
Abstract: We shall give a proof in this extension of our previous paper for the conjecture about the occurrence of periodic orbits by means of Hopf bifurcation in non-symmetric May-Leonard systems. Mathematical Subject Classification: 92D40, 34Cxx
TL;DR: In this paper, a characterisation of super-nilpotent subhereditary radicals is given, based on the assumption that the radicals are super-nearly-potent.
Abstract: (Left) subhereditary radicals were introduced in [5]. Here, we continue to study such radicals and give some characterizations of supernilpotent subhereditary radicals. Mathematical Subject Classification: 16N80
TL;DR: The notion of stability of integral sets of impulsive differential systems of general form was introduced in this paper, and conditions sufficient for the stability of an integral set were established for non-fixed times of impulse influence.
Abstract: We introduce the notion of stability of integral sets of impulsive differential systems of general form (with nonfixed times of impulse influence). We establish conditions sufficient for the stability of an integral set.