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| $L_p$-DICHOTOMY OF LINEAR DIFFERENTIAL EQUATIONS IN AN ARBITRARY BANACH SPACE |
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Citation： |
A. KOSSEVA,S. KOSTADINOV,K. SCHNEIDER.$L_p$-DICHOTOMY OF LINEAR DIFFERENTIAL EQUATIONS IN AN ARBITRARY BANACH SPACE[J].Chinese Annals of Mathematics B,2003,24(4):485~490 |
| Page view： 1089
Net amount： 797 |
Authors： |
A. KOSSEVA; S. KOSTADINOV;K. SCHNEIDER |
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| Abstract： |
The notion of $L_p$-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
$L_p$-dichotomous linear part are obtained. |
Keywords： |
Ordinary differential equations, Dichotomy, Existence of bounded solutions |
Classification： |
34A34, 47H10 |
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