تقرير
Systems described by Volterra type integral operators
| العنوان: | Systems described by Volterra type integral operators |
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| المؤلفون: | Bors, Dorota, Skowron, Andrzej, Walczak, Stanisław |
| المصدر: | Discrete Contin. Dyn. Syst. Ser. B 19 (2014), 2401-2416 |
| سنة النشر: | 2013 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, 57R50, 45G15 (Primary), 47H30 (Secondary) |
| الوصف: | In the paper some sufficient condition for the nonlinear integral operator of the Volterra type to be a diffeomorphism defined on the space of absolutely continuous functions are formulated. The proof relies on consideration of the linearized equation together with Palais-Smale condition, thus a combination of topological and variational methods is used. The applications of the result to the control systems with feedback and to the specific nonlinear Volterra equation are presented. Comment: 15 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.3934/dcdsb.2014.19.2401 |
| URL الوصول: | http://arxiv.org/abs/1311.5113 |
| رقم الأكسشن: | edsarx.1311.5113 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.3934/dcdsb.2014.19.2401 |
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