Boundary-Value Problems with Non-Local Initial Condition for Parabolic Equations with Parameter

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dc.creatorRassias, J. M.
dc.creatorKarimov, E. T.
dc.date2009-05-13
dc.date.accessioned2026-07-07T13:14:26Z
dc.date.available2026-07-07T13:14:26Z
dc.descriptionIn 2002, J.M.Rassias (Uniqueness of quasi-regular solutions for bi-parabolic elliptic bi-hyperbolic Tricomi problem, Complex Variables, 47 (8) (2002), 707-718) imposed and investigated the bi-parabolic elliptic bi-hyperbolic mixed type partial differential equation of second order. In the present paper some boundary-value problems with non-local initial condition for model and degenerate parabolic equations with parameter were considered. Also uniqueness theorems are proved and non-trivial solutions of certain non-local problems for forward-backward parabolic equation with parameter are investigated at specific values of this parameter by employing the classical "a-b-c" method. Classical references in this field of mixed type partial differential equations are given by: J.M.Rassias (Lecture Notes on Mixed Type Partial Differential Equations, World Scientific, 1990, pp.1-144) and M.M.Smirnov (Equations of Mixed Type, Translations of Mathematical Monographies, 51, American Mathematical Society, Providence, R.I., 1978 pp.1-232). Other investigations are achieved by G.C.Wen et al. (in period 1990-2007).
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0905.2024
dc.identifierhttp://arxiv.org/abs/0905.2024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230210
dc.subjectAnalysis of PDEs
dc.subjectSpectral Theory
dc.subject35M10
dc.titleBoundary-Value Problems with Non-Local Initial Condition for Parabolic Equations with Parameter
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