THE STABILITY AND ALMOST PERIODIC SOLUTION FOR GENERALIZED LOGISTIC ALMOST PERIODIC SYSTEM WITH DELAYS
Copyright policy )THE STABILITY AND ALMOST PERIODIC SOLUTION FOR GENERALIZED LOGISTIC ALMOST PERIODIC SYSTEM WITH DELAYS
The stability and almost periodic solution for generalized logistic almost periodic system with infinite and discrete delays is considered. Some sufficient conditions for the boundedness of the system are obtained to guarantee that the system is globally asymptotically stable. We also show that the almost periodic system has a unique globally asymptotically stable strictly positive almost periodic solution by using the almost periodic functional Hull theory and new computational techniques. Furthermore, some recent results are improved, and an open question is answered.
- Shandong University of Science and Technology China (People's Republic of)
Almost and pseudo-almost periodic solutions to functional-differential equations, global asymptotical stability, Stability theory of functional-differential equations, positive solution, infinite delay, generalized logistic equation, almost periodic solution, discrete delay, function hull theory, boundedness, permanence
Almost and pseudo-almost periodic solutions to functional-differential equations, global asymptotical stability, Stability theory of functional-differential equations, positive solution, infinite delay, generalized logistic equation, almost periodic solution, discrete delay, function hull theory, boundedness, permanence
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