Characterization of Partial Derivatives with Respect to Boundary Conditions for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations

Authors

Jeffrey W. Lyons, Baylor UniversityFollow
Johnny Henderson, Baylor University

Document Type

Article

Publication Date

1-1-2009

Publication Title

International Journal of Pure and Applied Mathematics

Keywords

Nonlinear boundary value problem, Ordinary differential equation, Nonlocal boundary condition, Existence, Uniqueness

ISSN

1311-8080

Volume

56

Issue/No.

2

First Page

235

Last Page

257

Abstract

Under certain conditions, solutions of the nonlocal boundary value problem, y⁽ⁿ⁾ = f(x, y, y', ... , y^{(n- 1)}), y(x_i) = Y_i for 1 £ i £ n- 1, and y(x_n) - Σ^m_k=1 Υ_iy (n_i) = y _n, are differentiated with respect to boundary conditions, where a < X₁ < X₂ < · · · < X_n-1 < n₁ < · · · < n_m < X_n < b, r₁, ... , r_m, Y1, ... , Y_n ∈ R .

Comments

AMS Subject Classification: 34B10, 34B15

NSUWorks Citation

Lyons, Jeffrey W. and Henderson, Johnny, "Characterization of Partial Derivatives with Respect to Boundary Conditions for Solutions of Nonlocal Boundary Value Problems for nth Order Differential Equations" (2009). Mathematics Faculty Articles. 38.
https://nsuworks.nova.edu/math_facarticles/38