Existence results for third order nonlinear boundary value problems arising in nano boundary layer fluid flows over stretching surfaces

2011 ◽  
Vol 12 (6) ◽  
pp. 2919-2930 ◽  
Author(s):  
F. Talay Akyildiz ◽  
Hamid Bellout ◽  
Kuppalapalle Vajravelu ◽  
Robert A. Van Gorder
Keyword(s):  
Boundary Layer ◽  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Fluid Flows ◽  
Existence Results ◽  
Nonlinear Boundary Value Problems ◽  
Third Order ◽  
Stretching Surfaces ◽  
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.

Solutions for a Kirchhoff Equation with Weight and Nonlinearity with Subcritical and Critical Caffarelli–Kohn–Nirenberg Growth

2016 ◽  
Vol 59 (4) ◽  
pp. 925-944 ◽  
Author(s):  
Giovany M. Figueiredo ◽  
Mateus Balbino Guimarães ◽  
Rodrigo da Silva Rodrigues
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Existence Results ◽  
Kirchhoff Equation ◽  
Nonlinear Boundary Value Problems ◽  
Kirchhoff Type ◽  
Nonlinear Boundary Value

AbstractIn this paper we study the multiplicity of non-trivial solutions to a class of nonlinear boundary-value problems of Kirchhoff type. We prove existence results when the problem has nonlinearities with subcritical and with critical Caffarelli–Kohn–Nirenberg exponent.

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