一类中立型脉冲微分方程周期解的存在性
Existence of periodic solution for a class of neutral differential equations with impulses
摘要:
利用重合度理论中的Mawhin延拓定理,建立了一类脉冲中立型微分方程周期解存在的充分条件.在这项工作中所采用的程序,利用非脉冲的相关方程,以克服困难所造成的时刻的脉冲效应。在特定假设下,该解在每个区间上连续可微,没有脉冲效应。
英文摘要:
By applying a Mawhin's continuation theorem of coincidence degree theory, we establish sufficient conditions for the existence of a periodic solution for a class of impulsive neutral differential equations. The procedure adopted in this work makes use of a non-impulsive associated equation in order to overcome the difficulties resulting from the moments of impulse effects. Under particular assumptions this solution is continuously differentiable on each interval with no impulse effect.
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