Smoothness of Polynomials
English

About The Book

In this book we are interested in the smooth dependence of polynomial solutions of linear ordinary differential equations to their specific boundary conditions. We investigate the case for the solutions of y′′ = 0 and y′′′ = 0 to observe the smooth dependence. Once we notice a pattern we generalize the results into a theorem. Finally we discuss possible applications and extensions of the results.
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