Solvability conditions for non-local boundary value problems for two-dimensional half-linear differential systems

2011 ◽  
Vol 74 (17) ◽  
pp. 6537-6552 ◽  
Author(s):  
Ivan Kiguradze ◽  
Jiří Šremr
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Two Dimensional ◽  
Differential Systems ◽  
Solvability Conditions ◽  
Local Boundary ◽  
Linear Differential Systems ◽  
Non Local ◽  
Linear Differential

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.

scholarly journals On Construction of Solutions of Linear Differential Systems with Argument Deviations of Mixed Type

Symmetry ◽  
2020 ◽  
Vol 12 (10) ◽  
pp. 1740
Author(s):  
András Rontó ◽  
Natálie Rontóová
Keyword(s):  
Boundary Value Problems ◽  
Mixed Type ◽  
Boundary Value ◽  
Successive Approximations ◽  
Linear Boundary ◽  
Differential Systems ◽  
Numerical Example ◽  
Linear Differential Systems ◽  
Linear Differential

We show the use of parametrization techniques and successive approximations for the effective construction of solutions of linear boundary value problems for differential systems with multiple argument deviations. The approach is illustrated with a numerical example.

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