| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 1003 0 |
 SM ISO690:2012KOLESNIK, Alexander. Cyclic planar random evolution with four directions. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2004, nr. 2(45), pp. 27-32. ISSN 1024-7696. |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(45) / 2004 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
|
||||||
| Pag. 27-32 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
A four-direction cyclic random motion with constant finite speed v in
the plane R2 driven by a homogeneous Poisson process of rate λ > 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. |
||||||
| Cuvinte-cheie Cyclic random evolution, finite speed, transition law, higher-order hyperbolic equations, generalized Bessel equation |
||||||
|
Google Scholar Export
<meta name="citation_title" content="Cyclic planar random evolution with four directions"> <meta name="citation_author" content="Kolesnik Alexander"> <meta name="citation_publication_date" content="2004/03/01"> <meta name="citation_journal_title" content="Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica"> <meta name="citation_volume" content="45"> <meta name="citation_issue" content="2"> <meta name="citation_firstpage" content="27"> <meta name="citation_lastpage" content="32"> <meta name="citation_pdf_url" content="https://ibn.idsi.md/sites/default/files/imag_file/Cyclic%20planar%20random%20evolution%20with%20four%20directions.pdf">
|
|
|
