An approximation method in a boundary value problem with partial derivatives

1990 ◽  
Vol 42 (6) ◽  
pp. 717-721 ◽  
Author(s):  
E. S. Sinaiskii
Keyword(s):  
Boundary Value Problem ◽  
Approximation Method ◽  
Boundary Value ◽  
Partial Derivatives

Sign Properties of Green's Functions For Two Classes of Boundary Value Problems

1987 ◽  
Vol 30 (1) ◽  
pp. 28-35 ◽  
Author(s):  
P. W. Eloe
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Green’S Function ◽  
Boundary Value Problems ◽  
Green's Function ◽  
Difference Equations ◽  
Green's Functions ◽  
Green’S Functions ◽  
Boundary Value ◽  
Partial Derivatives

AbstractLet G(x,s) be the Green's function for the boundary value problem y(n) = 0, Ty = 0, where Ty = 0 represents boundary conditions at two points. The signs of G(x,s) and certain of its partial derivatives with respect to x are determined for two classes of boundary value problems. The results are also carried over to analogous classes of boundary value problems for difference equations.

Partial Derivatives of the Solution to the Lambert Boundary Value Problem

2015 ◽  
Vol 38 (9) ◽  
pp. 1563-1572 ◽  
Author(s):  
Nitin Arora ◽  
Ryan P. Russell ◽  
Nathan Strange ◽  
David Ottesen
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Partial Derivatives ◽  
Derivatives Of

scholarly journals Singular boundary value problem on infinite time scale

2006 ◽  
Vol 2006 ◽  
pp. 1-13
Author(s):  
Zhao-Cai Hao ◽  
Jin Liang ◽  
Ti-Jun Xiao
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Approximation Method ◽  
Time Scale ◽  
Boundary Value ◽  
Singular Boundary ◽  
Singular Boundary Value Problem ◽  
Singular Boundary Value Problems ◽  
Infinite Time

This paper deals with a class of singular boundary value problems of differential equations on infinite time scale. An existence theorem of positive solutions is established by using the Schauder fixed point theorem and perturbation and operator approximation method, which resolves the singularity successfully and differs from those of some papers. In the end of the paper, an example is given to illustrate our main result.

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