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Asymptotic behaviour of solutions of the differential equation of the fourth order. II.

Jozef Miklo — 1988

Mathematica Slovaca

On an asymptotic behaviour of solutions of the differential equation of the fourth order

Jozef Miklo — 1986

Mathematica Slovaca

Asymptotic relationship between solutions of two linear differential systems

Jozef Miklo — 1998

Mathematica Bohemica

In this paper new generalized notions are defined: $Ψ$ -boundedness and $Ψ$ -asymptotic equivalence, where $Ψ$ is a complex continuous nonsingular $n \times n$ matrix. The $Ψ$ -asymptotic equivalence of linear differential systems $y^{'} = A (t) y$ and $x^{'} = A (t) x + B (t) x$ is proved when the fundamental matrix of $y^{'} = A (t) y$ is $Ψ$ -bounded.

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