scholarly journals The Uniqueness Theorem of the Solution for a Class of Differential Systems with Coupled Integral Boundary Conditions

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Shuman Meng ◽  
Yujun Cui
Keyword(s):  
Boundary Conditions ◽  
Operator Theory ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Differential Systems ◽  
Main Method ◽  
Coupled Integral Boundary Conditions ◽  
Uniqueness Of The Solution ◽  
System Of Inequalities ◽  
The Uniqueness Theorem

We discuss the uniqueness of the solution to a class of differential systems with coupled integral boundary conditions under a Lipschitz condition. Our main method is the linear operator theory and the solvability for a system of inequalities. Finally, an example is given to demonstrate the validity of our main results.

scholarly journals Positive Solutions for(n-1,1)-Type Singular Fractional Differential System with Coupled Integral Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-14 ◽  
Author(s):  
Ying Wang ◽  
Lishan Liu ◽  
Xinguang Zhang ◽  
Yonghong Wu
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Differential System ◽  
Integral Boundary Conditions ◽  
Integral Boundary ◽  
Fractional Differential System ◽  
Coupled Integral Boundary Conditions ◽  
Existence Of Positive Solutions ◽  
Singular Fractional Differential System ◽  
Fractional Differential

We study the positive solutions of the(n-1,1)-type fractional differential system with coupled integral boundary conditions. The conditions for the existence of positive solutions to the system are established. In addition, we derive explicit formulae for the estimation of the positive solutions and obtain the unique positive solution when certain additional conditions hold. An example is then given to demonstrate the validity of our main results.

Sign in / Sign up

Export Citation Format

Share Document