Existence of almost periodic solution for nonlocal fractional Cauchy problem with integral initial condition

2021 ◽  
Vol 14 (3) ◽  
Author(s):  
S. Maghsoodi ◽  
A. Neamaty
Keyword(s):  
Cauchy Problem ◽  
Periodic Solution ◽  
Almost Periodic Solution ◽  
Initial Condition ◽  
Almost Periodic ◽  
Fractional Cauchy Problem

Almost periodic solution to singular systems

1998 ◽  
Vol 43 (8) ◽  
pp. 698-700 ◽  
Author(s):  
Jiarong Liang ◽  
Yongqing Liu ◽  
Cunchen Gao
Keyword(s):  
Periodic Solution ◽  
Singular Systems ◽  
Almost Periodic Solution ◽  
Almost Periodic

Existence and exponential stability of almost periodic positive solution for host-macroparasite difference model

2016 ◽  
Vol 09 (02) ◽  
pp. 1650028
Author(s):  
Zhijian Yao
Keyword(s):  
Periodic Solution ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Exponential Stability ◽  
Positive Solution ◽  
Lyapunov Functional ◽  
Contraction Mapping ◽  
Almost Periodic Solution ◽  
Almost Periodic ◽  
Difference Model

This paper is concerned with a host-macroparasite difference model. By applying the contraction mapping fixed point theorem, we prove the existence of unique almost periodic positive solution. Moreover, we investigate the exponential stability of almost periodic solution by means of Lyapunov functional.

scholarly journals Permanence and Almost Periodic Solution for an Enterprise Cluster Model Based on Ecology Theory with Feedback Controls on Time Scales

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Yuanhong Zhi ◽  
Zunling Ding ◽  
Yongkun Li
Keyword(s):  
Periodic Solution ◽  
Time Scales ◽  
Cluster Model ◽  
Sufficient Conditions ◽  
Almost Periodic Solution ◽  
Asymptotically Stable ◽  
Almost Periodic ◽  
Feedback Controls ◽  
Competition And Cooperation ◽  
Enterprise Cluster

We present a model with feedback controls based on ecology theory, which effectively describes the competition and cooperation of enterprise cluster in real economic environments. Applying the comparison theorem of dynamic equations on time scales and constructing a suitable Lyapunov functional, sufficient conditions which guarantee the permanence and the existence of uniformly asymptotically stable almost periodic solution of the system are obtained.

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