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Dynamical systems method (DSM) for nonlinear equations in Banach spaces |
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| Institution: | 1. Institute of Production and Logistics Management, Johannes Kepler University, Linz, Austria;2. Department of Industrial Engineering, Boğaziçi University, İstanbul, Turkey;1. SUPA, School of Physics and Astronomy, University of Edinburgh, Peter Guthrie Tait Road, Edinburgh, EH9 3FD, UK;2. MRC Human Genetics Unit, Institute of Genetics and Cancer, University of Edinburgh, Western General Hospital, Crewe Road South, Edinburgh, EH4 2XU, UK |
| Abstract: | The DSM (dynamical systems method) is justified for nonlinear operator equations in a Banach space. The main assumption is on the spectral properties of the Frèchet derivative of the operator at a suitable point. A singular perturbation problem related to the original equation is studied. |
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