Local Stability Results for the Elastic Beam Equation

1987 ◽  
Vol 18 (5) ◽  
pp. 1341-1366 ◽  
Author(s):  
Alessandra Lunardi
Keyword(s):  
Local Stability ◽  
Elastic Beam ◽  
Beam Equation ◽  
Elastic Beam Equation ◽  
Stability Results

scholarly journals Existence and Iteration of Monotone Positive Solution of BVP for an Elastic Beam Equation

2011 ◽  
Vol 2011 ◽  
pp. 1-10 ◽  
Author(s):  
Jian-Ping Sun ◽  
Xian-Qiang Wang
Keyword(s):  
Boundary Value Problem ◽  
Positive Solution ◽  
Iterative Scheme ◽  
Boundary Value ◽  
Elastic Beam ◽  
Beam Equation ◽  
Elastic Beam Equation ◽  
Monotone Positive Solution ◽  
Zero Function ◽  
Computational Purpose

This paper is concerned with the existence of monotone positive solution of boundary value problem for an elastic beam equation. By applying iterative techniques, we not only obtain the existence of monotone positive solution but also establish iterative scheme for approximating the solution. It is worth mentioning that the iterative scheme starts off with zero function, which is very useful and feasible for computational purpose. An example is also included to illustrate the main results.

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