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摘要: |
主要研究边值问题在脉冲影响下正解的存在性.首先,证明了微分方程的解等价于脉冲积分方程的解;然后通过几个引理,得到了几个重要的定理;主要结果拓广了已有的一些结果;证明主要运用了锥上的不动点定理. |
关键词: 正解 锥 不动点 脉冲 |
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Existence of Positive Solutions of Second-order Impulsive Delay Differential Equation |
WANG Hui-min; JIANG Wei
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Abstract: |
This paper mainly studies the existence of boundary value under the influence of impulse,firstly verifies that the solution of the differential equations is equivalent to the solution of pulse integral equation and then obtains several important theorems through several lemmas.The main obtained results expand some results,which mainly result from the use of a cone fixed point theorem. |
Key words: positive solution cone fixed point impulse |