Uniqueness implies existence for various classes of nth order boundary value problems Online publication date: Sun, 06-Jan-2008
by J. Ehme, A. Lanz
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 1, No. 2, 2007
Abstract: In this paper, we show uniqueness implies existence for y(n) = f(t, y, y′, ..., y(n−1)) subject to boundary conditions of the form Li(y) = yi, where Li: C(n−1)([a, b], R) → R are continuous linear functionals and f satisfies an appropriate growth condition.
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