The upper and lower solution method for some fourth-order boundary value problems

2007 ◽  
Vol 67 (6) ◽  
pp. 1704-1709 ◽  
Author(s):  
Zhanbing Bai
Keyword(s):  
Boundary Value Problems ◽  
Fourth Order ◽  
Solution Method ◽  
Boundary Value ◽  
Lower Solution ◽  
Upper And Lower Solution ◽  
Lower Solution Method

scholarly journals Upper and Lower Solution Method for Fourth-Order Four-Point Boundary Value Problem on Time Scales

2012 ◽  
Vol 2012 ◽  
pp. 1-14
Author(s):  
Ilkay Yaslan Karaca
Keyword(s):  
Boundary Value Problem ◽  
Time Scales ◽  
Fourth Order ◽  
Solution Method ◽  
Boundary Value ◽  
Lower Solution ◽  
Point Boundary ◽  
Upper And Lower Solution ◽  
Lower Solution Method ◽  
Order Four

We consider a fourth-order four-point boundary value problem for dynamic equations on time scales. By the upper and lower solution method, some results on the existence of solutions of the fourth-order four-point boundary value problem on time scales are obtained. An example is also included to illustrate our results.

scholarly journals Upper and Lower Solution Method for Fractional Boundary Value Problems on the Half-Line

2013 ◽  
Vol 2013 ◽  
pp. 1-11
Author(s):  
Dandan Yang ◽  
Chuanzhi Bai
Keyword(s):  
Boundary Value Problems ◽  
Solution Method ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Lower Solution ◽  
Half Line ◽  
Upper And Lower Solution ◽  
Unbounded Solutions ◽  
Lower Solution Method ◽  
Fractional Boundary Value Problems

We establish the existence of unbounded solutions for nonlinear fractional boundary value problems on the half-line. By the upper and lower solution method technique, sufficient conditions for the existence of solutions for the fractional boundary value problems are established. An example is presented to illustrate our main result.

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