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Every ordinary differential equation with a strict Lyapunov function is a gradient system |
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| Authors: | Tomá? Bárta Ralph Chill Eva Fa?angová |
| Institution: | 1. Department of Mathematical Analysis, Charles University, Sokolovsk?? 83, 186 75, Praha 8, Czech Republic 2. Laboratoire de Math??matiques et Applications de Metz et CNRS, Universit?? Paul Verlaine, Metz, UMR 7122, Bat. A, Ile du Saulcy, 57045, Metz Cedex 1, France 3. Institut f??r Angewandte Analysis, Universit?t Ulm, 89069, Ulm, Germany |
| Abstract: | We explain and prove the statement from the title. This allows us to formulate a new type of gradient inequality and to obtain a new stabilization result for gradient-like ordinary differential equations. |
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