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Boundary data smoothness for solutions of nonlocal boundary value problems for second order differential equations
Authors:John Ehrke  Curtis Kunkel
Affiliation:Department of Mathematics, Baylor University, Waco, Texas 76798-7328, USA
Abstract:Under certain conditions, solutions of the boundary value problem, y=f(x,y,y), y(x1)=y1, and View the MathML source, are differentiated with respect to boundary conditions, where a<x1<η1ηm<x2<b, r1,…,rmR, and y1,y2R.
Keywords:Nonlinear boundary value problem   Ordinary differential equation   Nonlocal boundary condition   Existence   Uniqueness
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