Displaying similar documents to “Justification of the averaging method for multipoint boundary value problems for a class of functional-differential equations with maximums.”

Solutions of Analytical Systems of Partial Differential Equations

Trenčevski, K. (1995)

Serdica Mathematical Journal

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In this paper are examined some classes of linear and non-linear analytical systems of partial differential equations. Compatibility conditions are found and if they are satisfied, the solutions are given as functional series in a neighborhood of a given point (x = 0).

On asymptotics of solutions and eigenvalues of the boundary value problem with rapidly alternating boundary conditions for the system of elasticity

Olga A. Oleinik, Gregory Chechkin (1996)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Boundary value problems for the system of linear elasticity with rapidly alternating boundary conditions are studied and asymptotic behavior of solutions is considered when a small parameter, which defines the oscillation of the boundary conditions, tends to zero. Estimates for the difference between such solutions and solutions of the limit problem are given.

Global existence and blow-up for a completely coupled Fujita type system

Joanna Rencławowicz (2000)

Applicationes Mathematicae

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The Fujita type global existence and blow-up theorems are proved for a reaction-diffusion system of m equations (m>1) in the form u i t = Δ u i + u i + 1 p i , i = 1 , . . . , m - 1 , u m t = Δ u m + u 1 p m , x ∈ ℝ N , t > 0 , with nonnegative, bounded, continuous initial values and positive numbers p i . The dependence on p i of the length of existence time (its finiteness or infinitude) is established.