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Space-time decompositions via differential forms

Fecko, Marián — 1998

Proceedings of the 17th Winter School "Geometry and Physics"

The author presents a simple method (by using the standard theory of connections on principle bundles) of $(3 + 1)$ -decomposition of the physical equations written in terms of differential forms on a 4-dimensional spacetime of general relativity, with respect to a general observer. Finally, the author suggests possible applications of such a decomposition to the Maxwell theory.

A central limit theorem for processes generated by a family of transformations

Marian Jabłoński — 1991

Let $τ_{n}, n \geq 0$ be a sequence of measure preserving transformations of a probability space (Ω,Σ,P) into itself and let $f_{n}, n \geq 0$ be a sequence of elements of $L^{2} (Ω, Σ, P)$ with $E f_{n} = 0$ . It is shown that the distribution of $(\sum_{i = 0}^{n} f_{i} \circ τ_{i} \circ . . . \circ τ_{0}) {(D (\sum_{i = 0}^{n} f_{i} \circ τ_{i} \circ . . . \circ τ_{0}))}^{- 1}$ tends to the normal distribution N(0,1) as n → ∞. 1985 Mathematics Subject Classification: 58F11, 60F05, 28D99.

On lP solutions of discrete Volterra equations.

Marian Kwapisz — 1992

Aequationes mathematicae

On lP solutions of discrete Volterra equations. (Summary).

Marian Kwapisz — 1992

Aequationes mathematicae

Linear functionals on Orlicz sequence spaces without local convexity.

Nowak, Marian — 1992

International Journal of Mathematics and Mathematical Sciences

$L$ -multifunctions and their properties.

Matłoka, Marian — 1994

Mathematica Pannonica

A simple proof for the theorems of Pascal and Pappus.

Palej, Marian — 1997

Journal for Geometry and Graphics

Numerical solution of a parabolic equation with a weakly singular positive-type memory term.

Slodička, Marián — 1997

Electronic Journal of Differential Equations (EJDE) [electronic only]

Error estimates of an efficient linearization scheme for a nonlinear elliptic problem with a nonlocal boundary condition

Marian Slodička — 2001

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

We consider a nonlinear second order elliptic boundary value problem (BVP) in a bounded domain $Ω \subset ℝ^{dim}$ with a nonlocal boundary condition. A Dirichlet BC containing an unknown additive constant, accompanied with a nonlocal (integral) Neumann side condition is prescribed at some boundary part $Γ_{n}$ . The rest of the boundary is equipped with Dirichlet or nonlinear Robin type BC. The solution is found via linearization. We design a robust and efficient approximation scheme. Error estimates for the linearization...