Geodesic
Asymptotic properties of differential equations with advanced argument
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 4, pp. 825-837

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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.
Classification : 34K15, 34K25, 39B22
Keywords: functional differential equation; functional (nondifferential) equation; advanced argument; asymptotic behaviour 
@article{CMJ_2000__50_4_a9,
     author = {\v{C}erm\'ak, Jan},
     title = {Asymptotic properties of differential equations with advanced argument},
     journal = {Czechoslovak Mathematical Journal},
     pages = {825--837},
     publisher = {mathdoc},
     volume = {50},
     number = {4},
     year = {2000},
     mrnumber = {1792972},
     zbl = {1079.34544},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2000__50_4_a9/}
}
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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/