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The Behaviour of Solutions of Ordinary Differential Equations in Infinite Domains

  • Ya. I. Zhitomirskii
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 98)

Abstract

Under minimal restrictions on coefficients of linear ODEs with linear complex parameter λ we find asymptotics of solutions x(t, λ) as |λ| → ∞ and |t|≤ q(|λ|), where q(|λ|) is an increasing function determined by coefficients, and obtain an estimate of solutions for all (t, λ) ∈ ℝ × ℂ.

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References

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Copyright information

© Springer Basel AG 1997

Authors and Affiliations

  • Ya. I. Zhitomirskii
    • 1
  1. 1.HaifaIsrael

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