Abstract We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.
%0 Journal Article
%1 Llibre20154007
%A Llibre, Jaume
%A Mereu, Ana C.
%A Novaes, Douglas D.
%D 2015
%J Journal of Differential Equations
%K myown published top
%N 11
%P 4007 - 4032
%R http://dx.doi.org/10.1016/j.jde.2015.01.022
%T Averaging theory for discontinuous piecewise differential systems
%U http://www.sciencedirect.com/science/article/pii/S0022039615000340
%V 258
%X Abstract We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications.
@article{Llibre20154007,
abstract = {Abstract We develop the averaging theory of first and second order for studying the periodic solutions of discontinuous piecewise differential systems in arbitrary dimension and with an arbitrary number of systems with the minimal conditions of differentiability. We also provide two applications. },
added-at = {2015-12-28T06:14:58.000+0100},
author = {Llibre, Jaume and Mereu, Ana C. and Novaes, Douglas D.},
biburl = {https://www.bibsonomy.org/bibtex/2bcbc894adada3aa891eb39b27bb2919b/ddnovaes},
doi = {http://dx.doi.org/10.1016/j.jde.2015.01.022},
interhash = {1dec57b4ef93da55a18737f75e7cce31},
intrahash = {bcbc894adada3aa891eb39b27bb2919b},
issn = {0022-0396},
journal = {Journal of Differential Equations },
keywords = {myown published top},
number = 11,
pages = {4007 - 4032},
timestamp = {2015-12-28T16:49:36.000+0100},
title = {Averaging theory for discontinuous piecewise differential systems },
url = {http://www.sciencedirect.com/science/article/pii/S0022039615000340},
volume = 258,
year = 2015
}