Continuous dependence of solutions of abstract generalized linear differential equations with potential converging uniformly with a weight

0427479 - MÚ 2015 RIV US eng J - Journal Article
Monteiro, Giselle Antunes - Tvrdý, Milan
Continuous dependence of solutions of abstract generalized linear differential equations with potential converging uniformly with a weight.
Boundary Value Problems. -, č. 71 (2014), s. 1-18. ISSN 1687-2770. E-ISSN 1687-2770
R&D Projects: GA ČR(CZ) GA14-06958S
Institutional support: RVO:67985840
Keywords : abstract generalized differential equation * continuous dependence * time scale dynamics
Subject RIV: BA - General Mathematics
Impact factor: 1.014, year: 2014
http://www.boundaryvalueproblems.com/content/2014/1/71

In this paper we continue our research on continuous dependence on a parameter of solutions to generalized linear differential equations. These equations are described by linear integral equations containing the abstract Kurzweil-Stieltjes integral. In particular, we are interested in the situation when the kernels of these equations need not have uniformly bounded variations. Our main goal is the extension of our previous results to the nonhomogeneous case. Applications to second order systems and to dynamic equations on time scales are included as well.
Permanent Link: http://hdl.handle.net/11104/0233020