Existence of positive solutions of m-point boundary value problems for three order dynamic equations on time scales

2011 ◽  
Author(s):  
Shuzhen Qi ◽  
Jun Yang
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Time Scales ◽  
Boundary Value ◽  
Dynamic Equations ◽  
Point Boundary ◽  
Existence Of Positive Solutions

scholarly journals Successive Iteration and Positive Solutions for Nonlinearm-Point Boundary Value Problems on Time Scales

2009 ◽  
Vol 2009 ◽  
pp. 1-13
Author(s):  
Yanbin Sang
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Time Scales ◽  
Boundary Value ◽  
Point Boundary ◽  
Iterative Schemes ◽  
Monotone Iterative ◽  
Successive Iteration ◽  
Existence Of Positive Solutions ◽  
Cone Expansion And Compression

We study the existence of positive solutions for a class ofm-point boundary value problems on time scales. Our approach is based on the monotone iterative technique and the cone expansion and compression fixed point theorem of norm type. Without the assumption of the existence of lower and upper solutions, we do not only obtain the existence of positive solutions of the problem, but also establish the iterative schemes for approximating the solutions.

Sign in / Sign up

Export Citation Format

Share Document