Article: Uniqueness implies existence for various classes of nth order boundary value problems Journal: International Journal of Dynamical Systems and Differential Equations (IJDSDE) 2007 Vol.1 No.2 pp.98 - 101 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. Inderscience Publishers - linking academia, business and industry through research

Title: Uniqueness implies existence for various classes of nth order boundary value problems

Authors: J. Ehme, A. Lanz

Addresses: Department of Mathematics, Box 214, Spelman College, Atlanta, GA 30314, USA. ' Department of Mathematics and Computer Science, Virginia Military Institute, Lexington, VA 24450, USA

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 L_i(y) = y_i, where L_i: C⁽ⁿ⁻¹⁾([a, b], R) → R are continuous linear functionals and f satisfies an appropriate growth condition.

Keywords: uniqueness; existence; linear boundary conditions; boundary value problems.

DOI: 10.1504/IJDSDE.2007.016511

International Journal of Dynamical Systems and Differential Equations, 2007 Vol.1 No.2, pp.98 - 101

Published online: 06 Jan 2008 *

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Title: Uniqueness implies existence for various classes of nth order boundary value problems

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