Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709244 | Applied Mathematics Letters | 2009 | 5 Pages |
Abstract
Given an appropriate growth condition for ff and a uniqueness assumption on y(n)=0y(n)=0 with respect to certain focal boundary value problems, it is shown that uniqueness of solutions to the nonlinear differential equation y(n)=f(t,y,y′,…,y(n−1)),y(n)=f(t,y,y′,…,y(n−1)), subject to boundary conditions of the form gij(y(tj),…,y(n−1)(tj))=yijgij(y(tj),…,y(n−1)(tj))=yij implies existence of solutions.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Jeffrey Ehme, Aprillya Lanz,