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

• Autorzy: Ch. G. Philos
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34K10: Boundary value problems
• 34B40: Boundary value problems on infinite intervals
• 47H10: Fixed-point theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 92
• Numer: 2
• Strony: 133-153

Daty

wydano

2007

Twórcy

autor

Ch. G. Philos

• Department of Mathematics, University of Ioannina, P.O. Box 1186, 451 10 Ioannina, Greece

Identyfikatory

DOI

10.4064/ap92-2-3