论文信息 - Positive periodic solutions for a periodic neutral differential equation with feedback control

Positive periodic solutions for a periodic neutral differential equation with feedback control

Abstract We study the existence of periodic solutions for a neutral differential equation with feedback control of the form d N ( t ) d t = r ( t ) N ( t ) 1 - N ( t - τ ( t ) ) + c ( t ) N ′ ( t - τ ( t ) ) K ( t ) - β ( t ) u ( t - δ ( t ) ) , d u ( t ) d t = - a ( t ) u ( t ) + b ( t ) N ( t - σ ( t ) ) .

Yongkun Li

[1] Ping Liu,et al. Positive periodic solutions of a class of functional differential systems with feedback controls , 2004 .

[2] K. Gopalsamy. Stability and Oscillations in Delay Differential Equations of Population Dynamics , 1992 .

[3] W. Petryshyn,et al. Existence theorems for higher order nonlinear periodic boundary value problems , 1982 .

[4] Peixuan Weng. Existence and global stability of positive periodic solution of periodic integrodifferential systems with feedback controls , 2000 .

[5] Yongkun Li,et al. Positive periodic solutions of a single species model with feedback regulation and distributed time delay , 2004, Appl. Math. Comput..

[6] 杨帆,et al. EXISTENCE AND GLOBAL ATTRACTIVITY OF POSITIVE PERIODIC SOLUTION OF A LOGISTIC GROWTH SYSTEM WITH FEEDBACK CONTROL AND DEVIATING ARGUMENTS , 2001 .