| L_p-DICHOTOMY OF LINEAR DIFFERENTIAL EQUATIONS IN AN ARBITRARY BANACH SPACE |
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| 作者姓名： | A. KOSSEVA S. KOSTADINOV K. SCHNEIDER |
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| 作者单位： | Department of Mathematics，Technical University，61，Sankt Petersburg blvd，4000 Plovdiv，Department of Mathematics and Informatics，University of Plovdiv“P.Hilendarski”，24，Tzar Assenstr.，4000 Plovdiv，Bulgaria.，WIAS Berlin，Mohrenstr.，39，10117 Berlin，Deutschland. |
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| 摘 要： | The notion of Lp-dichotomy for linear differential equations with possibly unbounded operator is introduced. By help of Banach fixed point theorem sufficient conditions for the existence of bounded solutions of nonlinear differential equations with an Lp-dichotomous linear part are obtained.
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| 关 键 词： | 线性常微分方程 Banach空间 二分法 不动点定理 有界解 存在性 |
| 收稿时间： | 3/2/1931 12:00:00 AM |
$L_p$-DICHOTOMY OF LINEAR DIFFERENTIAL EQUATIONS IN AN ARBITRARY BANACH SPACE |
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| A. KOSSEVA,S. KOSTADINOV,K. SCHNEIDER.L_p-DICHOTOMY OF LINEAR DIFFERENTIAL EQUATIONS IN AN ARBITRARY BANACH SPACE[J].Chinese Annals of Mathematics,Series B,2003,24(4):485-490. |
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| Authors: | A KOSSEVA S KOSTADINOV and K SCHNEIDER |
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| Abstract: | The notion of Lp-dichotomy for linear differential equations with possibly unbounded operator is introduced. By help of Banach fixed point theorem sufficient conditions for the existence of bounded solutions of nonlinear differential equations with an Lp-dichotomous linear part are obtained. |
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| Keywords: | Ordinary differential equations Dichotomy Existence of bounded solutions |
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