Boundary value problem of a third-order mixed type differential-difference equation

1996 ◽  
Vol 80 (2-3) ◽  
pp. 273-286 ◽  
Author(s):  
Wang Peiguang
Keyword(s):  
Difference Equation ◽  
Boundary Value Problem ◽  
Mixed Type ◽  
Boundary Value ◽  
Third Order ◽  
Differential Difference Equation

Positive Solution for Boundary Value Problem of Nonlinear Three-Order Difference Equation

2014 ◽  
Vol 926-930 ◽  
pp. 3665-3668
Author(s):  
Chun Li Wang ◽  
Chuan Zhi Bai ◽  
Xiao Dong Cai
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Difference Equation ◽  
Boundary Value Problem ◽  
Positive Solution ◽  
Boundary Value ◽  
Point Boundary ◽  
Third Order ◽  
Order Difference ◽  
Order Difference Equation

In this paper we investigate the existence of positive solution of the following nonlinear discrete third-order two-point boundary value problem. whereis continuous and there existssuch that . Our approach relies on the Krasnosel'skii fixed point theorem. An example is given to demonstrate the application of the theorem obtained.

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