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L_p-DICHOTOMY OF LINEAR DIFFERENTIAL EQUATIONS IN AN ARBITRARY BANACH SPACE |
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| Authors: | A. KOSSEVA S. KOSTADINOV K. SCHNEIDER |
| 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. |
| Keywords: | Ordinary differential equations Dichotomy Existence of bounded solutions |
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