scholarly journals On some boundary value problems for second order nonlinear differential equations

2012 ◽  
Vol 137 (2) ◽  
pp. 113-122 ◽  
Author(s):  
Zuzana Došlá ◽  
Mauro Marini ◽  
Serena Matucci
2016 ◽  
Vol 12 (8) ◽  
pp. 6489-6499
Author(s):  
Ymnah Salah Alruwaily

The purpose of this paper is to investigate the application of the Adomian decomposition method (ADM) for solving boundary value problems for second-order differential equations with Robin boundary conditions. We first reformulate the boundary value problems for linear equations as a fixed point problems for a linear Fredholm integral operator, and then apply the ADM. We also extend our approach to include second-order nonlinear differential equations subject Robin boundary conditions.


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