scholarly journals On some third order nonlinear boundary value problems: Existence, location and multiplicity results

2008 ◽  
Vol 339 (2) ◽  
pp. 1342-1353 ◽  
Author(s):  
Feliz Manuel Minhós
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Nonlinear Boundary Value Problems ◽  
Third Order ◽  
Multiplicity Results ◽  
Nonlinear Boundary Value

scholarly journals An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems

2011 ◽  
Vol 2011 ◽  
pp. 1-14 ◽  
Author(s):  
Muhammad Noor ◽  
Khalida Noor ◽  
Asif Waheed ◽  
Eisa A. Al-Said
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Contact Problems ◽  
Convergent Series ◽  
Nonlinear Boundary Value Problems ◽  
Third Order ◽  
Variation Of Parameters ◽  
Suggested Technique ◽  
Nonlinear Boundary Value

we use the modified variation of parameters method for finding the analytical solution of a system of third-order nonlinear boundary value problems associated with obstacle, unilateral, and contact problems. The results are calculated in terms of convergent series with easily computable components. The suggested technique is applied without any discretization, perturbation, transformation, and restrictive assumptions. Moreover, it is free from round off errors. Some examples are given to illustrate the implementation and efficiency of the modified variation of parameters method.

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