| NONLOCAL INITIAL PROBLEM FOR NONLINEAR NONAUTONOMOUS DIFFERENTIAL EQUATIONS IN A BANACH SPACE |
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| 作者姓名： | M.I.Gil＇ |
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| 作者单位： | Dept. of |
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| 基金项目： | This research was supported by the Kamea Fund |
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| 摘 要： | The nonlocal initial problem for nonlinear nonautonomous evolution equati-ons in a Banach space is considered. It is assumed that the nonlinearities havethe local Lipschitz properties. The existence and uniqueness of mild solutionsare proved. Applications to integro-differential equations are discussed.The main tool in the paper is the normalizing mapping (the generalizednorm).
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| 关 键 词： | 非线性微分方程 巴拿赫空间 初始问题 存在性 唯一性 单位算子 |
NONLOCAL INITIAL PROBLEM FOR NONLINEAR NONAUTONOMOUS DIFFERENTIAL EQUATIONS IN A BANACH SPACE |
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| M I Gil Dept. of Math.,Ben Gurion University of the Negev P.O.Box ,Beer-Sheva Israel.NONLOCAL INITIAL PROBLEM FOR NONLINEAR NONAUTONOMOUS DIFFERENTIAL EQUATIONS IN A BANACH SPACE[J].微分方程年刊(英文版),2004,20(2):145-154. |
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| Authors: | M I Gil Dept of Math Ben Gurion University of the Negev POBox Beer-Sheva Israel |
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| Institution: | Dept.ofMath.,BenGurionUniversityoftheNegev,P.O.Box653,Beer-Sheva84105,Israel |
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| Abstract: | The nonlocal initial problem for nonlinear nonautonomous evolution equati-
ons in a Banach space is considered. It is assumed that the nonlinearities have
the local Lipschitz properties. The existence and uniqueness of mild solutions
are proved. Applications to integro-differential equations are discussed.
The main tool in the paper is the normalizing mapping (the generalized
norm). |
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| Keywords: | nonlinear evolution equations nonlocal initial problem integro-differential equations |
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