On a boundary value problem on the half-line for nonlinear two-dimensional delay differential systems

Ch. G. Philos. "On a boundary value problem on the half-line for nonlinear two-dimensional delay differential systems." Annales Polonici Mathematici 92.2 (2007): 133-153. <http://eudml.org/doc/281002>.

@article{Ch2007,
abstract = {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.},
author = {Ch. G. Philos},
journal = {Annales Polonici Mathematici},
keywords = {delay differential system; boundary value problem on the half-line; existence of solutions; existence and uniqueness of solutions; Schauder–Tikhonov theorem, Banach contraction principle},
language = {eng},
number = {2},
pages = {133-153},
title = {On a boundary value problem on the half-line for nonlinear two-dimensional delay differential systems},
url = {http://eudml.org/doc/281002},
volume = {92},
year = {2007},
}

TY - JOUR
AU - Ch. G. Philos
TI - On a boundary value problem on the half-line for nonlinear two-dimensional delay differential systems
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 2
SP - 133
EP - 153
AB - 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.
LA - eng
KW - delay differential system; boundary value problem on the half-line; existence of solutions; existence and uniqueness of solutions; Schauder–Tikhonov theorem, Banach contraction principle
UR - http://eudml.org/doc/281002
ER -