Application of uniform asymptotics method to analyzing the asymptotic behaviour of the general fourth Painlevé transcendent.

Qin, Huizeng; Lu, Youmin

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Displaying similar documents to “Application of uniform asymptotics method to analyzing the asymptotic behaviour of the general fourth Painlevé transcendent.”

Asymptotic properties of differential equations with advanced argument

Jan Čermák (2000)

Czechoslovak Mathematical Journal

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The paper discusses the asymptotic properties of solutions of the scalar functional differential equation $y^{'} (x) = a y (τ (x)) + b y (x), x \in [x_{0}, \infty)$ of the advanced type. We show that, given a specific asymptotic behaviour, there is a (unique) solution $y (x)$ which behaves in this way.