Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1707999 | Applied Mathematics Letters | 2014 | 5 Pages |
Abstract
This article examines two-point boundary value problems (BVPs) for second-order, singular ordinary differential equations where the right-hand-side of the differential equation may depend on the derivative of the solution. We introduce a method to obtain a priori bounds on all potential solutions, including their “derivatives”, to the singular BVP under consideration. The approach is based on the application of differential inequalities of singular type. The ideas are then applied to yield new existence results for solutions.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Nicholas Fewster-Young, Christopher C. Tisdell,