| Conţinutul numărului revistei |
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 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. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(45) / 2004 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 27-32 | ||||||
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| 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. |
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| Cuvinte-cheie Cyclic random evolution, finite speed, transition law, higher-order hyperbolic equations, generalized Bessel equation |
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