A global bifurcation index for set-valued perturbations of Fredholm operators |
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| Authors: | Dorota Gabor Wojciech Kryszewski |
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| Institution: | Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Chopina 12/18, 87-100 Toruń, Poland |
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| Abstract: | In the paper the homotopy invariant detecting global bifurcations of solutions to multi-parameter equations involving general set-valued perturbations of linear Fredholm operators of non-negative index is introduced. Some applications to the existence problems for differential inclusions are provided. |
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| Keywords: | 47H04 47H11 47J15 55M20 34A60 34K18 55Q55 |
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