Nonlinear Boundary Value Problems on Semi-Infinite Intervals using Weighted Spaces: An Upper and Lower Solution Approach

Positivity ◽  
2006 ◽  
Vol 11 (1) ◽  
pp. 171-189 ◽  
Author(s):  
Donal O'Regan ◽  
Baoqiang Yan ◽  
Ravi P. Agarwal
2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mingzhu Huang

AbstractIn this paper, we discuss the existence and approximation of solutions for a fourth-order nonlinear boundary value problem by using a quasilinearization technique. In the presence of a lower solution α and an upper solution β in the reverse order $\alpha \geq \beta $ α ≥ β , we show the existence of (extreme) solution.


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