scholarly journals Positive solutions to a semipositone superlinear elastic beam equation

2021 ◽  
Vol 6 (5) ◽  
pp. 4227-4237
Author(s):  
Haixia Lu ◽  
◽  
Li Sun ◽  
Keyword(s):  
Positive Solutions ◽  
Elastic Beam ◽  
Beam Equation ◽  
Elastic Beam Equation

scholarly journals Monotone Positive Solutions for an Elastic Beam Equation with Nonlinear Boundary Conditions

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Jian-Ping Sun ◽  
Xian-Qiang Wang
Keyword(s):  
Boundary Conditions ◽  
Positive Solutions ◽  
Nonlinear Boundary ◽  
Quadratic Function ◽  
Elastic Beam ◽  
Nonlinear Boundary Conditions ◽  
Beam Equation ◽  
Iterative Schemes ◽  
Elastic Beam Equation ◽  
Monotone Positive Solutions

This paper is concerned with the existence of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions. By applying monotone iteration method, we not only obtain the existence of monotone positive solutions but also establish iterative schemes for approximating the solutions. It is worth mentioning that these iterative schemes start off with zero function or quadratic function, which is very useful and feasible for computational purpose. An example is also included to illustrate the main results obtained.

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