Condensing Multivalued Maps and Semilinear Differential Inclusions in Banach Spaces
Mikhail I. Kamenskii · Valeri V. Obukhovskii · Pietro Zecca
ກ.ລ. 2011 · De Gruyter Series in Nonlinear Analysis and Applications ຫົວທີ 7 · Walter de Gruyter
ປຶ້ມອີບຸກ
242
ໜ້າ
reportບໍ່ໄດ້ຢັ້ງຢືນການຈັດອັນດັບ ແລະ ຄຳຕິຊົມ ສຶກສາເພີ່ມເຕີມ
ກ່ຽວກັບປຶ້ມ e-book ນີ້
The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented.
ກ່ຽວກັບຜູ້ຂຽນ
Prof. Pietro Zecca, Dipartimento di Energetica, Università degli studi di Firenze, Italy.
Prof. Mikhail Kamenskiì, University of Voronezh, Russia and Université de Rouen, France.
Valeri Obukhovskiì, Università di Firenze, Italy.
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