MA160 Functional Diffrential Equations

Faculty of Science
Spring 2008
Extent and Intensity
2/1. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
prof. Alexander Lomtatidze, DrSc. (lecturer)
Guaranteed by
prof. Alexander Lomtatidze, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 11:00–12:50 N41
Prerequisites
Differential and integral calculus, linear algebra, ordinary differential equations.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to introduce bases of the theory of the initial and boundary value problems for functional differential equations, namely differential equations with argument deviations and integro-differential equations. Asymptotic theory of such equations will be presented, as well.
Syllabus
  • General functional differential equations and their particular cases. General linear boundary value problem. Green's operator. Nonlinear boudnary value problem. Theorems on differential and integral inequalities. Criteria of the solvability of the initial value problem. Periodic boundary value problem. Bounded and unbounded solutions. Oscillation theory (introduction).
Literature
  • KOLMANOVSKII, V. and A. MYSHKIS. Introduction to the theory and applications of functional differential equations. Dordrecht: Kluwer Academic Publishers, 1999, xvi, 648 s. ISBN 0-7923-5504-0. info
  • HALE, Jack K. Theory of functional differential equations. New York: Springer-Verlag, 1977, 365 s. ISBN 0387902031. info
Assessment methods
Teaching: Lecture 2 hours a week.
Language of instruction
Czech
Further Comments
The course is taught once in two years.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2006, Autumn 2011.
  • Enrolment Statistics (Spring 2008, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2008/MA160