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Asymptotic properties of differential equations with advanced argument
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 825-837 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The paper discusses the asymptotic properties of solutions of the scalar functional differential equation \[ y^{\prime }(x)=ay(\tau (x))+by(x),\qquad x\in [x_0,\infty ) \] of the advanced type. We show that, given a specific asymptotic behaviour, there is a (unique) solution $y(x)$ which behaves in this way.
The paper discusses the asymptotic properties of solutions of the scalar functional differential equation \[ y^{\prime }(x)=ay(\tau (x))+by(x),\qquad x\in [x_0,\infty ) \] of the advanced type. We show that, given a specific asymptotic behaviour, there is a (unique) solution $y(x)$ which behaves in this way.
Classification : 34K15, 34K25, 39B22
Keywords: functional differential equation; functional (nondifferential) equation; advanced argument; asymptotic behaviour 
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Čermák, Jan. Asymptotic properties of differential equations with advanced argument. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 825-837. http://geodesic.mathdoc.fr/item/CMJ_2000_50_4_a9/

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