Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Cyclic planar random evolution with four directions.
Authors: Kolesnik Alexander
– 0.11 Mb
Abstract
A four-direction cyclic random motion with constant finite speed v in the plane R2 driven by a homogeneous Poisson process of rate lambda > 0 is studied. A fourth-order hyperbolic equation with constant coefficients governing the transition law of the motion is obtained. A general solution of the Fourier transform of this equation is given. A special non-linear automodel substitution is found reducing the governing partial differential equation to the generalized fourth-order ordinary Bessel differential equation, and the fundamental system of its solutions is explicitly given.Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
5 Academiei str. Chisinau,
MD-2028 Moldova
E-mail:
Academy of Sciences of Moldova
5 Academiei str. Chisinau,
MD-2028 Moldova
E-mail:
Fulltext
– 0.11 Mb
Contents
- About one explicit-difference scheme for solving the plane problem for two-component medium.
- Classification of planar quadratic differential systems with center of symmetry and multiple infinite singular point.
- Cyclic planar random evolution with four directions.
- The commutative Moufang loops with minimum conditions for subloops II.
- On orders of elements in quasigroups.
- Flow induced by a constantly accelerating plate in a Maxwell fluid.
- Method and Studying Abel's Equation with the one known solution.
- Discrete optimal control problems on networks and dynamic games with p players.
- On I-radicals.
- On natural classes of R-modules in the language of ring R.
- Financial programming model and sustainable development.
- The Schauder basis in symmetrically normed ideals of operators.
