Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775984 | Applied Mathematics and Computation | 2017 | 12 Pages |
Abstract
An algorithm for constructing two monotone sequences of upper and lower solutions of the initial value problem for a scalar nonnlinear differential equation with non-instantaneous impulses is given. The impulses start abruptly at some points and their action continue on given finite intervals. We prove that the functional sequences are convergent and their limits are minimal and maximal solutions of the considered problem. An example is given to illustrate the results.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ravi Agarwal, D. O'Regan, S. Hristova,