PERIODIC SOLUTIONS OF IMPULSIVE DIFFERENTIAL EQUATIONS WITH PIECEWISE ALTERNATELY ADVANCED AND RETARDED ARGUMENT OF GENERALIZED TYPE
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS(2022)
摘要
We investigate the existence of the periodic solutions of a quasilinear impulsive differential equation with alternately advanced and retarded arguments of generalized type, in short IDEPCAG. By using some fixed point theorems and some new analysis techniques, sufficient conditions are obtained for the existence and uniqueness of periodic solutions of these IDEPCAG systems. A new IDEPCAG's Gronwall-type lemma is proved. Some examples concerning impulsive biological models such as Lasota-Wakwska model, Nicholson's blowflies and logistic models are treated.
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关键词
impulsive differential equation, piecewise constant argument of generalized type, periodic solutions, fixed point theorems, Gronwall's inequality
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