scholarly journals Upper and Lower Solution Methods for Fully Nonlinear Boundary Value Problems

2002 ◽  
Vol 180 (1) ◽  
pp. 51-64 ◽  
Author(s):  
Jeffrey Ehme ◽  
Paul W. Eloe ◽  
Johnny Henderson
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Lower Solution ◽  
Nonlinear Boundary Value Problems ◽  
Fully Nonlinear ◽  
Upper And Lower Solution ◽  
Nonlinear Boundary Value ◽  
Solution Methods

scholarly journals Existence of solutions for fourth-order nonlinear boundary value problems

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Mingzhu Huang
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Fourth Order ◽  
Nonlinear Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Lower Solution ◽  
Nonlinear Boundary Value Problems ◽  
Nonlinear Boundary Value ◽  
Quasilinearization Technique

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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