| Full text | |
| Author(s): |
Monteiro, Giselle A.
;
Tvrdy, Milan
Total Authors: 2
|
| Document type: | Journal article |
| Source: | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS; v. 33, n. 1, p. 21-pg., 2013-01-01. |
| Abstract | |
This paper deals with integral equations of the form x(t) = (x) over tilde x +integral(t)(a) d [A] x + f (t) - f (a), t is an element of [a, b], in a Banach space X, where -infinity < a < b < infinity, <(x)over tilde> is an element of X, f : [a; b] -> X is regulated on [a, b], and A (t) is for each t is an element of [a; b] a linear bounded operator on X, while the mapping A : [a, b] -> L (X) has a bounded variation on [a, b]. Such equations are called gener alized linear differential equations. Our aim is to present new results on the continuous dependence of solutions of such equations on a parameter. Furthermore, an application of these results to dynamic equations on time scales is given. (AU) | |
| FAPESP's process: | 10/52215-2 - Milan Tvrdý | Academy of Sciences of the Czech Republic - Czech Republic |
| Grantee: | Márcia Cristina Anderson Braz Federson |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |