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Displaying similar documents to “Some asymptotic formulae for spectra of a general convex domain.”

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.

On the asymptotic behavior of solutions of linear difference equations.

Jerzy Popenda, Ewa Schmeidel (1994)

Publicacions Matemàtiques

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In the paper sufficient conditions for the difference equation : Δxn = Σi=0 r an (i) xn+i to have a solution which tends to a constant, are given. Applying these conditions, an asymptotic formula for a solution of an m-th order equation is presented.