Geodesic
On a boundary value problem on the half-line for nonlinear two-dimensional delay differential systems
Ch. G. Philos1
1 Department of Mathematics University of Ioannina P.O. Box 1186 451 10 Ioannina, Greece
Annales Polonici Mathematici, Tome 92 (2007) no. 2, pp. 133-153.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

This article is concerned with a boundary value problem on the half-line for nonlinear two-dimensional delay differential systems. By the use of the Schauder–Tikhonov theorem, a result on the existence of solutions is obtained. Also, via the Banach contraction principle, another result concerning the existence and uniqueness of solutions is established. Moreover, these results are applied to the special case of ordinary differential systems and to a certain class of delay differential systems. Furthermore, applications to differential systems of Emden–Fowler type and to linear differential systems are presented, and two specific examples are given.
DOI : 10.4064/ap92-2-3
Keywords: article concerned boundary value problem half line nonlinear two dimensional delay differential systems schauder tikhonov theorem result existence solutions obtained via banach contraction principle another result concerning existence uniqueness solutions established moreover these results applied special ordinary differential systems certain class delay differential systems furthermore applications differential systems emden fowler type linear differential systems presented specific examples given

Ch. G. Philos 1

1 Department of Mathematics University of Ioannina P.O. Box 1186 451 10 Ioannina, Greece 
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Ch. G. Philos. On a boundary value problem on the half-line
 for nonlinear two-dimensional delay differential systems. Annales Polonici Mathematici, Tome 92 (2007) no. 2, pp. 133-153. doi : 10.4064/ap92-2-3. http://geodesic.mathdoc.fr/articles/10.4064/ap92-2-3/

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