Johnny Henderson, Differentiability of solutions with respect to boundary conditions for second order nonlocal integral boundary value problems, 2014 (2014), Article ID 9 (4 April 2014)

Full Text: PDF

 

Abstract

Under smoothness conditions on the nonlinearity, solutions of the boundary value problem, y” = f(x,y,y’), a<x<b, y(x_1)-zeta int_{sigma}^{rho} y(x)dx=y_1, y(x_2)-gamma int_{xi}^{eta} y(x)dx=y_2, a<x_1<sigma <rho<xi<eta<x_2<b, are differentiated with respect to the boundary conditions.

 

How to Cite this Article:

Johnny Henderson, Differentiability of solutions with respect to boundary conditions for second order nonlocal integral boundary value problems, Journal of Nonlinear Functional Analysis 2014 (2014), Article ID 9.