Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations

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<x1<ξ1<η1<ξ2<η2<...<ξm<ηm<x2<b, are differentiated with respect to the boundary condition...

Full description

Bibliographic Details
Main Author:	Johnny Henderson
Format:	Article
Language:	English
Published:	Vilnius University Press 2014-10-01
Series:	Nonlinear Analysis
Subjects:	nth order ordinary differential equation multi-strip integral boundary conditions smooth dependence boundary data
Online Access:	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13643

id	doaj-01c7929a968446998bec4b44a3f70a56
record_format	Article
spelling	doaj-01c7929a968446998bec4b44a3f70a562020-11-25T02:14:19ZengVilnius University PressNonlinear Analysis1392-51132335-89632014-10-0119310.15388/NA.2014.3.6Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equationsJohnny Henderson0Baylor University, USA 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<x1<ξ1<η1<ξ2<η2<...<ξm<ηm<x2<b, are differentiated with respect to the boundary conditions. http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13643nth order ordinary differential equationmulti-strip integral boundary conditionssmooth dependenceboundary data
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Johnny Henderson
spellingShingle	Johnny Henderson Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations Nonlinear Analysis nth order ordinary differential equation multi-strip integral boundary conditions smooth dependence boundary data
author_facet	Johnny Henderson
author_sort	Johnny Henderson
title	Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations
title_short	Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations
title_full	Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations
title_fullStr	Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations
title_full_unstemmed	Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations
title_sort	smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations
publisher	Vilnius University Press
series	Nonlinear Analysis
issn	1392-5113 2335-8963
publishDate	2014-10-01
description	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<x1<ξ1<η1<ξ2<η2<...<ξm<ηm<x2<b, are differentiated with respect to the boundary conditions.
topic	nth order ordinary differential equation multi-strip integral boundary conditions smooth dependence boundary data
url	http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13643
work_keys_str_mv	AT johnnyhenderson smoothnessofsolutionswithrespecttomultistripintegralboundaryconditionsfornthorderordinarydifferentialequations
_version_	1724900443695349760

Smoothness of solutions with respect to multi-strip integral boundary conditions for nth order ordinary differential equations

Similar Items