Exact solutions of hyperbolic systems of kinetic equations. Application to Verhulst model with random perturbation

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dc.creatorGanzha, E. I.
dc.creatorLoginov, V. M.
dc.creatorTsarev, S. P.
dc.date2006-12-27
dc.date.accessioned2026-07-07T07:37:16Z
dc.date.available2026-07-07T07:37:16Z
dc.descriptionFor hyperbolic first-order systems of linear partial differential equations (master equations), appearing in description of kinetic processes in physics, biology and chemistry we propose a new procedure to obtain their complete closed-form non-stationary solutions. The methods used include the classical Laplace cascade method as well as its recent generalizations for systems with more than 2 equations and more than 2 independent variables. As an example we present the complete non-stationary solution (probability distribution) for Verhulst model driven by Markovian coloured dichotomous noise.
dc.descriptionLaTeX2e, 13 pages
dc.identifierhttps://arxiv.org/abs/math/0612793
dc.identifierhttp://arxiv.org/abs/math/0612793
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120720
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.titleExact solutions of hyperbolic systems of kinetic equations. Application to Verhulst model with random perturbation
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