Periodic solutions of a differential-delay equation and the fixed point index

1989 ◽  
Vol 33 (1-2) ◽  
pp. 119-126 ◽  
Author(s):  
Steven A. Chapin
Keyword(s):  
Fixed Point ◽  
Periodic Solutions ◽  
Fixed Point Index ◽  
Delay Equation ◽  
Point Index ◽  
Differential Delay Equation ◽  
Differential Delay

ON THE NUMBER OF POSITIVE PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS AND POPULATION MODELS

2005 ◽  
Vol 15 (04) ◽  
pp. 555-573 ◽  
Author(s):  
DAQING JIANG ◽  
DONAL O'REGAN ◽  
RAVI P. AGARWAL ◽  
XIAOJIE XU
Keyword(s):  
Fixed Point ◽  
Periodic Solutions ◽  
Fixed Point Index ◽  
Growth Models ◽  
Infinite Delay ◽  
Functional Differential Equations ◽  
Positive Periodic Solutions ◽  
Point Index ◽  
Functional Differential ◽  
Population Growth Models

In this paper, we employ the fixed point index on cones to study the existence, multiplicity and nonexistence of positive periodic solutions to a system of infinite delay equations, [Formula: see text] in which λ > 0 is a parameter. We prove some general theorems and establish new periodicity conditions for several population growth models.

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