Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/16933
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Title: | Higher order periodic impulsive problems, |
Authors: | Minhós, Feliz Fialho, J |
Editors: | León, Manuel de Feng, Wei Feng, Zhaosheng |
Keywords: | Higher order problems Differential equations with impulses periodic boundary value problems lower and upper solutions |
Issue Date: | 2015 |
Publisher: | American Institute of Mathematical Sciences |
Citation: | J. Fialho, F. Minhós, Higher order periodic impulsive problems, Dynamical Systems, Differential Equations and Applications, 2015, pp. 446–454 |
Abstract: | The theory of impulsive problem is experiencing a rapid development
in the last few years. Mainly because they have been used to describe
some phenomena, arising from different disciplines like physics or biology, subject
to instantaneous change at some time instants called moments. Second
order periodic impulsive problems were studied to some extent, however very
few papers were dedicated to the study of third and higher order impulsive
problems.
The high order impulsive problem considered is composed a fully nonlinear
equation with periodic boundary conditions,
and impulsive conditions given by real valued functions satisfying some adequate conditions The arguments applied make use of the lower and upper solution method combined with an iterative technique, which is not necessarily monotone, together with classical results such as Lebesgue Dominated Convergence Theorem, Ascoli-Arzèla Theorem and fixed point theory. |
URI: | http://www.aimsciences.org/journals/displayPaperPro.jsp?paperID=11912 http://hdl.handle.net/10174/16933 |
Type: | article |
Appears in Collections: | MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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