Comparison results for impulsive delay differential inequalities and equations.
Yan, Jurang (1997)
Portugaliae Mathematica
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Yan, Jurang (1997)
Portugaliae Mathematica
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Liu, Yuji, Bai, Zhanbing, Gui, Zhanjie, Ge, Weigao (2004)
Portugaliae Mathematica. Nova Série
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Eduardo Liz, Juan J. Nieto (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we develop monotone iterative technique to obtain the extremal solutions of a second order periodic boundary value problem (PBVP) with impulsive effects. We present a maximum principle for ``impulsive functions'' and then we use it to develop the monotone iterative method. Finally, we consider the monotone iterates as orbits of a (discrete) dynamical system.
Li, Yongkun, Xing, Wenya (2006)
International Journal of Mathematics and Mathematical Sciences
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Král, J., Medková, D. (1992)
Acta Mathematica Universitatis Comenianae. New Series
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Changjin Xu, Qianhong Zhang, Maoxin Liao (2013)
Applications of Mathematics
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In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantees the existence of at least one positive periodic solution, and by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are established.