Browsing by Subject "Ordinary differential equations."
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Item Boundary data smoothness for solutions of nonlocal boundary value problems.(Mathematical Sciences Publishers., 2011) Lyons, Jeffrey W.; Henderson, Johnny.; Mathematics.; Baylor University. Dept. of Mathematics.In this dissertation, we investigate boundary data smoothness for solutions of nonlocal boundary value problems over discrete and continuous domains. Essentially, we show that under certain conditions partial derivatives and differences exist, with respect to boundary conditions, for solutions of nonlocal boundary value problems and solve the variational equation in the derivative case and a specific linear difference equation in the difference case. Lastly, we provide a corollary and a few examples as well as some ideas for future work.