RT Journal Article
T1 First order differential equations with piecewise constant arguments and nonlinear boundary value conditions
A1 Ferreiro Darriba, Juan Bosco
A1 Cabada Fernández, Alberto
K1 Nonlinear boundary value conditions
K1 Comparison results
K1 Piecewise constant arguments
K1 Lower and upper solutions
AB This paper is devoted to the study of differential equations with piecewise constant arguments coupled with nonlinear boundary value conditions. Under suitable assumptions on the data of the equation, by means of the method of (weakly coupled) lower and upper solutions, we derive the existence of extremal solutions and extremal quasi-solutions. Moreover some results are given concerning the uniqueness of solutions. Furthermore, we deduce some maximum principles related to the linear equation which allow us to develop the monotone iterative method. Some illustrative examples are also presented.
PB Elsevier
SN 0022-247X
YR 2011
FD 2011-08-01
LK https://hdl.handle.net/10347/39452
UL https://hdl.handle.net/10347/39452
LA eng
NO Alberto Cabada, Juan Bosco Ferreiro, First order differential equations with piecewise constant arguments and nonlinear boundary value conditions, Journal of Mathematical Analysis and Applications, Volume 380, Issue 1, 2011, Pages 124-136, ISSN 0022-247X, https://doi.org/10.1016/j.jmaa.2011.02.054.
NO This work has been partially supported by Ministerio de Educación y Ciencia, Spain, project MTM2007-61724.
DS Minerva
RD 22 abr 2026