Positive solutions of second-order two-delay differential systems with twin-parameter

2005 ◽  
Vol 63 (4) ◽  
pp. 601-617 ◽  
Author(s):  
Dingyong Bai ◽  
Yuantong Xu
Keyword(s):  
Positive Solutions ◽  
Second Order ◽  
Differential Systems ◽  
Delay Differential Systems ◽  
Delay Differential

On the existence of positive solutions on the half-line to nonlinear two-dimensional delay differential systems

2009 ◽  
Vol 52 (3) ◽  
pp. 771-786
Author(s):  
Ch. G. Philos
Keyword(s):  
Positive Solutions ◽  
Sufficient Conditions ◽  
Half Line ◽  
Two Dimensional ◽  
Differential Systems ◽  
Existence Of Positive Solutions ◽  
Nonlinear Delay Differential Equations ◽  
Delay Differential Systems ◽  
Delay Differential ◽  
Special Case

AbstractThis paper is concerned with a boundary-value problem on the half-line for nonlinear two-dimensional delay differential systems with positive delays. A theorem is established, which provides sufficient conditions for the existence of positive solutions. The application of this theorem to the special case of second-order nonlinear delay differential equations is given. Also, the application of the theorem to two-dimensional Emden–Fowler-type delay differential systems with constant delays is presented. Moreover, some general examples demonstrating the applicability of the theorem are included.

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