System of differential equations with unstable turning point and multiple element of spectrum of degenerate operator

Bobochko, V. N.; Markush, I. I.

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Asymptotic properties of one differential equation with unbounded delay

Zdeněk Svoboda (2012)

Mathematica Bohemica

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We study the asymptotic behavior of the solutions of a differential equation with unbounded delay. The results presented are based on the first Lyapunov method, which is often used to construct solutions of ordinary differential equations in the form of power series. This technique cannot be applied to delayed equations and hence we express the solution as an asymptotic expansion. The existence of a solution is proved by the retract method.

On the singular spectrum of discrete Schrödinger operator

S. Naboko (1993-1994)

Séminaire Équations aux dérivées partielles (Polytechnique)

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Asymptotic properties of solutions of second-order difference equations

Jarosław Morchało (2002)

Archivum Mathematicum

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Using the method of variation of constants, discrete inequalities and Tychonoff’s fixed-point theorem we study problem asymptotic equivalence of second order difference equations.

The asymptotic spectrum of tensors.

V. Strassen (1988)

Journal für die reine und angewandte Mathematik

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Discrete spectrum of the periodic elliptic operator with a differential perturbation

Mikhail Sh. Birman (1994)

Journées équations aux dérivées partielles

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The asymptotic solution of higher-order differential equations with small final coefficient

Eastham, M.S.P. (1988)

Portugaliae mathematica

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Solvability and asymptotic behavior of solutions of ordinary differential equations with variable operator coefficients

Vladimir Kozlov, Vladimir Maz'ya (1992)

Journées équations aux dérivées partielles

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