Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations
Articles
Johnny Henderson
Baylor University, USA
Published 2014-10-30
https://doi.org/10.15388/NA.2014.3.6
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Keywords

nth order ordinary differential equation
multi-strip integral boundary conditions
smooth dependence
boundary data

How to Cite

Henderson, J. (2014) “Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations”, Nonlinear Analysis: Modelling and Control, 19(3), pp. 396–412. doi:10.15388/NA.2014.3.6.

Abstract

Under certain conditions, solutions of the boundary value problem y(n) = f(x,y,y',...,y(n-1)), a < x < b, y(i-1)(x1) = yi, i=1,...,n-1, y(x2) ∑ i=1mγi ∫ ξiηiy(x)dx=yn, a<x11122<...<ξmm<x2<b, are differentiated with respect to the boundary conditions.

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