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Lecturer(s)
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Andres Jan, prof. RNDr. dr hab. DSc.
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Course content
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Multivalued maps and their selections, existence theorems for Carathéodory differential inclusions, ANR-spaces, fixed point theorems for multivalued maps, topological degree for multivalued maps, topological structure of solutions of differential inclusions, solvability of multivalued boundary value problems.
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Learning activities and teaching methods
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Dialogic Lecture (Discussion, Dialog, Brainstorming), Work with Text (with Book, Textbook)
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Learning outcomes
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To demonstrate the basic knowledge of differential inclusions related to topic of Doctoral Thesis.
Comprehension Demonstrate a good orientation ín the theory of differential inclusions.
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Prerequisites
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Master's degree in mathematics.
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Assessment methods and criteria
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Oral exam
Exam: to know and to understand the subject
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Recommended literature
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J. P. Aubin, A. Cellina. (1984). Differential Inclusions. Springer, Berlin.
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L. Górniewicz. (1999). Topological Fixed Point Theory of Multivalued Mappings. Kluwer, Dordrecht.
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S. Hu, N. S. Papageorgiou. Handbook of Multivalued Analysis I, II. Kluwer, Dordrecht, 1997, 2000.
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