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Full-Text Articles in Physical Sciences and Mathematics
Characterization Of Partial Derivatives With Respect To Boundary Conditions For Solutions Of Nonlocal Boundary Value Problems For Nth Order Differential Equations, Jeffrey W. Lyons, Johnny Henderson
Characterization Of Partial Derivatives With Respect To Boundary Conditions For Solutions Of Nonlocal Boundary Value Problems For Nth Order Differential Equations, Jeffrey W. Lyons, Johnny Henderson
Mathematics Faculty Articles
Under certain conditions, solutions of the nonlocal boundary value problem, y(n) = f(x, y, y', ... , y(n- 1)), y(xi) = Yi for 1 £ i £ n- 1, and y(xn) - Σmk=1 Υiy (ni) = y n, are differentiated with respect to boundary conditions, where a < X1 < X2 < · · · < Xn-1 < n1 < · · · < nm < Xn < b, r1, ... , rm, Y1, ... , Yn ∈ R .
Boundary Data Smoothness For Solutions Of Nonlocal Boundary Value Problems For Nth Order Differential Equations, Johnny Henderson, Britney Hopkins, Eugenie Kim, Jeffrey W. Lyons
Boundary Data Smoothness For Solutions Of Nonlocal Boundary Value Problems For Nth Order Differential Equations, Johnny Henderson, Britney Hopkins, Eugenie Kim, Jeffrey W. Lyons
Mathematics Faculty Articles
Under certain conditions, solutions of the boundary value problem y(n)=f(x,y,y′,…,y(n−1)), y(n)=f(x,y,y′,…,y(n−1)), y(i−1)(x1)=yiy(i−1)(x1)=yi for 1≤i≤n−11≤i≤n−1, and y(x2)−∑mi=1riy(ηi)=yny(x2)−∑i=1mriy(ηi)=yn, are differentiated with respect to boundary conditions, where a