M4140p Selected topics in Mathematical analysis

Faculty of Science
Spring 2000
Extent and Intensity
3/0/0. Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Miroslav Bartušek, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Miroslav Bartušek, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
Syllabus
  • Applications of differential equations in Economics. Systems of linear differential equations,existence and uniqueness theorems, basic properties. Systems of nonlinear equations,existence and uniquenesstheorems of Cauchy problem,global properties of solutions. Differential inequalities. Autonomous systems, singular points. Stability. Linear equations of the 2-nd order- basic properties,Sturm's theorems. Basics of functional analysis.Fourrier's series.
Literature
  • RÁB, Miloš. Diferenciální rovnice. Vyd. 1. Praha: Státní pedagogické nakladatelství. 196 s. 1980. URL info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.

  • Enrolment Statistics (recent)
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