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Existence and Application of Global Solutions to Banach Space Impulsive Evolution Equation
Pages: 14-19
Year: Issue:  5
Journal: Journal of Gansu Sciences

Keyword:  Mild solutionInitial value problemCompact semigroupPiecewise continuation;
Abstract: 研究了Banach空间中一阶脉冲发展方程的初值问题.在紧半群情形下,对脉冲函数不限制任何条件:既不附加紧性条件,也不假定其连续.采用逐段延拓的方法,讨论了无穷区间上一阶脉冲发展方程初值问题mild解的整体存在性.并将所得抽象结果运用到抛物型偏微分方程上,得到该方程古典解的存在性.
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