scholarly journals On Stability of Nonlinear Differential System via Cone-Perturbing Liapunov Function Method

2015 ◽  
Vol 06 (10) ◽  
pp. 1769-1780
Author(s):  
A. A. Soliman ◽  
W. F. Seyam
Keyword(s):  
Differential System ◽  
Function Method ◽  
Liapunov Function

scholarly journals Global Behaviors of a Chemostat Model with Delayed Nutrient Recycling and Periodically Pulsed Input

2010 ◽  
Vol 2010 ◽  
pp. 1-21 ◽  
Author(s):  
Kai Wang ◽  
Zhidong Teng ◽  
Fengqin Zhang
Keyword(s):  
Function Method ◽  
Global Attractivity ◽  
Necessary Conditions ◽  
Nutrient Recycling ◽  
Liapunov Function ◽  
Sufficient Condition ◽  
Chemostat Model ◽  
Dynamic Behaviors ◽  
Analysis Technique ◽  
Sufficient And Necessary Conditions

The dynamic behaviors in a chemostat model with delayed nutrient recycling and periodically pulsed input are studied. By introducing new analysis technique, the sufficient and necessary conditions on the permanence and extinction of the microorganisms are obtained. Furthermore, by using the Liapunov function method, the sufficient condition on the global attractivity of the model is established. Finally, an example is given to demonstrate the effectiveness of the results in this paper.

scholarly journals Almost periodic solutions for Abel equations

1997 ◽  
Vol 20 (4) ◽  
pp. 727-735
Author(s):  
Zeng Weiyao ◽  
Shi Jinlin ◽  
Lin Zhensheng ◽  
Lokenath Debnath
Keyword(s):  
Differential Equation ◽  
Periodic Solutions ◽  
Function Method ◽  
Liapunov Function ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Existence And Stability ◽  
Abel Equations ◽  
Scalar Differential Equation ◽  
Abel Differential Equations

Using the Liapunov function method, the existence of almost periodic solutions of a scalar differential equation is discussed The results for the scalar differential equation are then applied to prove the existence and stability of almost periodic solutions of Abel differential equations We obtain several interesting results which improve the results due to Chongyou [1] and Dongpin [2].

THE ATOMISTIC GREEN'S FUNCTION METHOD FOR INTERFACIAL PHONON TRANSPORT

2014 ◽  
Vol 17 (N/A) ◽  
pp. 89-145 ◽  
Author(s):  
Sridhar Sadasivam ◽  
Yuhang Che ◽  
Zhen Huang ◽  
Liang Chen ◽  
Satish Kumar ◽  
...  
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Function Method ◽  
Phonon Transport ◽  
Green’S Function Method
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