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...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2014-10-01
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| Series: | Nonlinear Analysis |
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| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13643 |
| Summary: | 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.
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| ISSN: | 1392-5113 2335-8963 |