| Finding the boundary curves of the third order linear ordinary differential equation | 1--6 |
Abstract
In this paper the boundary curves of the third order linear ordinary differential equations are given.
Keywords: Boundary curves.
MSC: 34A30
| On a theorem of Ky-Fan type | 7--10 |
Abstract
We prove a statement of the Ky-Fan type which makes it possible in some situations to find the second term of the singular values asymptotics of a sum of two operators.
Keywords: Singular values, asymptotics.
MSC: 47B07
| Some properties of semi-continuous functions and quasi-uniform spaces | 11--18 |
Abstract
This paper approaches the problem of characterizing the topological spaces that admit a unique compatible quasi-uniform structure by means of semi-continuous functions. The desired result is achieved by relating properties of the semi-continuous quasi-uniformity with a new characterization of hereditarily compact spaces via lower semi-continuous functions.
Keywords: Semi-continuous function, quasi-uniform space, hereditarily compact space.
MSC: 54E35, 54E55
| Banach spaces over topological semifields and common fixed points | 19--22 |
Abstract
In this paper we shall prove the existence of a common fixed point of two mappings of a Banach space over a topological semifield.
Keywords: Banach space over a topological semifield, common fixed point, Cauchy sequence and sequentially complete metric space.
MSC: 47H10, 54H25
| Convergence of finite-difference schemes for Poisson's equation with boundary condition of the third kind | 23--30 |
Abstract
In this paper we study the convergence of finite-difference schemes to generalized solutions of the third boundary-value problem for Poisson's equation on the unit square. Using the generalized Bramble-Hilbert lemma, we obtain error estimates in discrete $H^1$ Sobolev norm compatible, in some cases, with the smoothness of the data. The outline of the paper is as follows. In section 1 notational conventions are presented. The stability theorem is proved in section~2. In section 3 we prove estimates of the energy of the operator $\Delta_h$. Finally, in section 4, we derive our main results.
Keywords: Finite-difference scheme, third boundary-value problem, Poisson's equation.
MSC: 65N12, 65N15
| On probability measure generated by spectral density estimate | 31--37 |
Abstract
We study the periodogram based estimate of spectral density of a strictly stationary random sequence and consider this estimate as a random function on the whole domain of frequency. We renormalize the scale in this domain and investigate the probability measure generated by obtained process in the space of continuous functions.
Keywords: Stationary time series, spectral density, periodogram based estimate, cumulant spectral densities, weak convergence.
MSC: 62M15, 60G10, 60G15
| A word on the joint embedding property | 39--47 |
Abstract
A possible generalization has been considered of the notion of the joint embedding property. Some preliminary results are obtained.
Keywords: Joint embedding property, amalgamation property.
MSC: 03C52, 03C25, 03C62
| Kratka biografija profesora dr Zlatka Mamuzića | 49--52 |