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On stability and robust stability of positive linear Volterra equations in Banach lattices

100%
Murakami S., Ngoc P.
Open Mathematics
|
2010
|
tom 8
|
nr 5
966-984
EN
We study positive linear Volterra integro-differential equations in Banach lattices. A characterization of positive equations is given. Furthermore, an explicit spectral criterion for uniformly asymptotic stability of positive equations is presented. Finally, we deal with problems of robust stability of positive systems under structured perturbations. Some explicit stability bounds with respect to these perturbations are given.
2
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Differential equations associated with generalized Bell polynomials and their zeros

84%
Ryoo S. C.
Open Mathematics
|
2016
|
tom 14
|
nr 1
807-815
EN
In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.
3
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Integrable three-dimensional coupled nonlinear dynamical systems related to centrally extended operator Lie algebras and their Lax type three-linearization

84%
Golenia J., Hentosh O., Prykarpatsky A.
Open Mathematics
|
2007
|
tom 5
|
nr 1
84-104
EN
The Hamiltonian representation for a hierarchy of Lax type equations on a dual space to the Lie algebra of integro-differential operators with matrix coefficients, extended by evolutions for eigenfunctions and adjoint eigenfunctions of the corresponding spectral problems, is obtained via some special Bäcklund transformation. The connection of this hierarchy with integrable by Lax two-dimensional Davey-Stewartson type systems is studied.
4
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Generalizations and error analysis of the iterative operator splitting method

84%
Ladics T., Faragó I.
Open Mathematics
|
2013
|
tom 11
|
nr 8
1416-1428
EN
The properties of iterative splitting with two bounded linear operators have been analyzed by Faragó et al. For more than two operators, iterative splitting can be defined in many different ways. A large class of the possible extensions to this case is presented in this paper and the order of accuracy of these methods are examined. A separate section is devoted to the discussion of two of these methods to illustrate how this class of possible methods can be classified with respect to the order of accuracy.
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