scholarly journals Multiple solutions of nonlinear boundary value problems for two-dimensional differential systems

2009 ◽  
Keyword(s):  
Boundary Value Problems ◽  
Multiple Solutions ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Two Dimensional ◽  
Nonlinear Boundary Value Problems ◽  
Differential Systems ◽  
Nonlinear Boundary Value

scholarly journals General iterative methods for nonlinear boundary value problems

1995 ◽  
Vol 37 (1) ◽  
pp. 58-85 ◽  
Author(s):  
Radha Shridharan ◽  
Ravi P. Agarwal
Keyword(s):  
Boundary Value Problems ◽  
Nonlinear Boundary ◽  
Boundary Value ◽  
Nonlinear Boundary Value Problems ◽  
Constructive Theory ◽  
Differential Systems ◽  
Linear Differential Systems ◽  
Nonlinear Boundary Value ◽  
Linear Differential ◽  
Homogeneous Linear

AbstractIn this paper we shall develop existence-uniqueness as well as constructive theory for the solutions of systems of nonlinear boundary value problems when only approximations of the fundamental matrix of the associated homogeneous linear differential systems are known. To make the analysis widely applicable, all the results are proved component-wise. An illustration which dwells upon the sharpness as well as the importance of the obtained results is also presented.

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