扬州大学学报（自然科学版）
颺州大學學報（自然科學版）
양주대학학보（자연과학판）
JOURNAL OF YANGZHOU UNIVERSITY(NATURAL SCIENCE EDITION)
2010年
1期
13-16
,共4页
脉冲微分方程%非局部条件%Hausdoff非紧测度%不动点%适度解
脈遲微分方程%非跼部條件%Hausdoff非緊測度%不動點%適度解
맥충미분방정%비국부조건%Hausdoff비긴측도%불동점%괄도해
impulsive differential equations%nonlocal conditions%Hausdoff measure of noncompactness%fixed-point%mild solution
讨论非局部条件下脉冲微分方程适度解的存在性,通过考察分段连续函数空间PC([0,b);X)上非紧测度的性质,利用Hausdoff非紧测度和不动点的方法给出非紧半群条件下适度解存在的充分条件,改进和推广了这一领域的相关结果.
討論非跼部條件下脈遲微分方程適度解的存在性,通過攷察分段連續函數空間PC([0,b);X)上非緊測度的性質,利用Hausdoff非緊測度和不動點的方法給齣非緊半群條件下適度解存在的充分條件,改進和推廣瞭這一領域的相關結果.
토론비국부조건하맥충미분방정괄도해적존재성,통과고찰분단련속함수공간PC([0,b);X)상비긴측도적성질,이용Hausdoff비긴측도화불동점적방법급출비긴반군조건하괄도해존재적충분조건,개진화추엄료저일영역적상관결과.
This paper is concerned with the existence of mild solutions for impulsive differential equations with nonlocal conditions. By measuring the noncompactness in the space of piecewise continuous functions using the techniques of fixed-point theory and measuring the noncompactness, the existence results are obtained without the compactness of semigroup. It improves and generalizes some previous results in this area.
