Numer czasopisma
Opuscula Mathematica
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ISSN: 1232-9274
e-ISSN:
Data wydania
2009
Rocznik
Vol. 29
Numer
No. 1
Prawa dostępu
Dostęp: otwarty dostęp
Uwagi:
Prawa: CC BY 4.0 
Uznanie autorstwa 4.0 Międzynarodowe (CC BY 4.0)
Strony
Opis
Rocznik czasopisma (rel.)
Rocznik czasopisma
Opuscula Mathematica
Vol. 29 (2009)
Artykuły numeru (rel.)
Artykuł
Dostęp ograniczony
Vertices belonging to all or to no minimum locating dominating sets of trees
(2009) Blidia, Mostafa; Lounes, Rahma
A set D of vertices in a graph G is a locating-dominating set if for every two vertices u, v of G \ D the sets N(u) ∩ D and N(v) ∩ D are non-empty and different. In this paper, we characterize vertices that are in all or in no minimum locating dominating sets in trees. The characterization guarantees that the γL-excellent tree can be recognized in a polynomial time.
Artykuł
Dostęp ograniczony
Strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals
(2009) Byszewski, Ludwik
The aim of the paper is to give strong maximum principles for implicit parabolic functional-differential problems together with nonlocal inequalities with functionals in relatively arbitrary (n+1)-dimensional time-space sets more general than the cylindrical domain.
Artykuł
Dostęp ograniczony
The Cartan-Monge geometric approach to the generalized characteristics method and its application to the heat equation Ut - Uxx = 0
(2009) Golenia, Jolanta; Wachnicki, Eugeniusz; Prykarpatsky, Yarema A.
The generalized Cartan-Monge type approach to the characteristics method is discussed from the geometric point of view. Its application to the classical one-dimensional linear heat equation Ut - uxx = 0 is presented. It is shown that the corresponding exact solution of the Cauchy problem can be represented in a classical functional-analytic Gauss type form.
Artykuł
Dostęp ograniczony
Multivariate kernel density estimation with a parametric support
(2009) Jarnicka, Jolanta
We consider kernel density estimation in the multivariate case, focusing on the use of some elements of parametric estimation. We present a two-step method, based on a modification of the EM algorithm and the generalized kernel density estimator, and compare this method with a couple of well known multivariate kernel density estimation methods.
Artykuł
Dostęp ograniczony
Best approximation in Chebyshev subspaces of L(ln1, ln1)
(2009) Kowynia, Joanna
Chebyshev subspaces of L(ln1, ln1) are studied. A construction of a k-dimensional Chebyshev (not interpolating) subspace is given.
Artykuł
Dostęp ograniczony
Uniqueness of solutions of a generalized Cauchy problem for a system of first order partial functional differential equations
(2009) Netka, Milena
The paper is concerned with weak solutions of a generalized Cauchy problem for a nonlinear system of first order differential functional equations. A theorem on the uniqueness of a solution is proved. Nonlinear estimates of the Perron type are assumed. A method of integral functional inequalities is used.
Artykuł
Dostęp ograniczony
On the continuity of the integrable multifunctions
(2009) Piątek, Bożena
The generalization of the Polovinkin theorem is studied.
Artykuł
Dostęp ograniczony
Extremal traceable graphs with non-traceable edges
(2009) Wojda, Adam Paweł.
By NT(n) we denote the set of graphs of order n which are traceable but have non-traceable edges, i.e. edges which are not contained in any hamiltonian path. The class NT(re) has been considered by Balińska and co-authors in a paper published in 2003, where it was proved that the maximum size t(max)(n) of a graph in NT(n) is at least (n2-5n+14)/2 (for n? 12). The authors also found t(max)(n) for 5 ? n ? 11. We prove that, for n n? 5, t(max) (n) = max {(n-2/2) + 4, [formula] and, moreover, we characterize the extremal graphs (in fact we prove that these graphs are exactly those already described in the paper by Balińska et al). We also prove that a traceable graph of order n n? 5 may have at most [n-3/2] [n-3/2] non traceable edges (this result was conjectured in the mentioned paper by Balińska and co-authors).
Artykuł
Dostęp ograniczony
Beurling's theorems and inversion formulas for certain index transforms
(2009) Âkuboviĉ, Semën B
The familiar Beurling theorem (an uncertainty principle), which is known for the Fourier transform pairs, has recently been proved by the author for the Kontorovich-Lebedev transform. In this paper analogs of the Beurling theorem are established for certain index transforms with respect to a parameter of the modified Bessel functions. In particular, we treat the generalized Lebedev-Skalskaya transforms, the Lebedev type transforms involving products of the Alacdoriald functions of different arguments and an index transform with the Nicholson kernel function. We also find inversion formulas for the Lebedev-Skalskaya operators of an arbitrary index and the Nicholson kernel transform.