M7830 Qualitative Theory of Functional Differential Equations I

Faculty of Science
Autumn 2003
Extent and Intensity
2/0/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).
Teacher(s)
prof. Alexander Lomtatidze, DrSc. (lecturer)
doc. RNDr. Bedřich Půža, CSc. (lecturer)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. Alexander Lomtatidze, DrSc.
Prerequisites (in Czech)
M5160 Differential Eqs.&Cont. Models || M6160 Differential Eqs.&Cont. Models
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
This course is devoted to the fundamentals of the theory of boundary value problems for functional differential equations. The consideration is concentrated around FDE with non-Volterra's type operators. Initial (Cauchy) and periodic problems are studied in more detail. The results are concretized for differential equations with deviating argument.
Syllabus
  • Boundary Value Problems for Linear Functional Differential Equations §1. General BVP 1.1. Fredholm's property 1.2. On dimension of solution space of homogeneous equation §2. Correctness of general BVP §3. Differential and integral inequalities 3.1. Theorems on differential inequalities 3.2. Theorems on integral inequalities 3.3. Positive solutions of homogeneous equation §4. Cauchy problem 4.1. Existence and uniqueness theorems 4.2. Cauchy problem for equation with deviating argument §5. Periodic problem 5.1. Existence and uniqueness theorems 5.2. On constant sign solutions 5.3. Periodic problem for equation with deviating argument
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Autumn 1999, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2005.
  • Enrolment Statistics (Autumn 2003, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2003/M7830