Title :
Periodic Boundary Value Problems for Nonlinear Impulsive Differential Equations of Mixed Type
Author :
Ye, Guobing ; Zhou, Xiaoqi ; Huang, Li
Author_Institution :
Coll. of Sci., Hunan Univ. of Technol., Zhuzhou, China
Abstract :
In this paper, we generalize the classical lower and upper concepts, and establish some comparison principles. On the basis of them, we obtain the existence of extremal solutions of periodic boundary value problems for nonlinear impulsive differential equations of mixed type by using the monotone iterative technique.
Keywords :
boundary-value problems; iterative methods; nonlinear differential equations; extremal solutions; mixed type nonlinear impulsive differential equations; monotone iterative technique; periodic boundary value problems; Boundary value problems; Delay; Differential equations; Educational institutions; Electrostatic discharges; Equations; Extremal solution; Monotone iterative technique; New lower and upper concepts; Nonlinear impulsive differential equation; Periodic boundary value problem;
Conference_Titel :
Intelligent System Design and Engineering Application (ISDEA), 2012 Second International Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-1-4577-2120-5
DOI :
10.1109/ISdea.2012.423
