Nonlinear Differential Equations - NDIR050
Title: Nelineární diferenciální rovnice
Form of teaching: lecture
Guaranteed by: Department of Numerical Mathematics (32-KNM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Duration in semesters: 1
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Maximum number of enrolled students: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: cancelled
Language: Czech
Teaching methods: full-time
Additional information: http://www.karlin.mff.cuni.cz/~dolejsi/Vyuka/index.htm
Repeated enrollment: 2 / 2 / 2 / 2
Guarantor: RNDr. Miloslav Vlasák, Ph.D.
Classification: Mathematics > Differential Equations, Potential Theory
Interchangeability : NMNV535
Is incompatible with: NMNV535
Is interchangeable with: NMNV535
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Annotation -
The subject of this course is a treatment of nonlinear differential equations. It contains: divergent differential equations, variational methods, applications of theory of monotone and potential operators and numerical methods.
Last update: DOLEJSI/MFF.CUNI.CZ (15.04.2008)
Aim of the course -

The subject of this course is a treatment of nonlinear differential equations. It contains: divergent differential equations, variational methods, applications of theory of monotone and potential operators and numerical methods.

Last update: DOLEJSI/MFF.CUNI.CZ (15.04.2008)
Literature -

Fučík Sv., Kufner A.: Nelineární diferenciální rovnice, SNTL, l978

Gajevski H., Gröger K., Zacharias K.: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen, 1974 (překlad do ruštiny 1978)

Zeidler E.:Nonlinear Functional Analysis and its Applications I,II,III (l984,l985,l986)

Last update: T_KNM (16.05.2008)
Teaching methods -

Lectures in a lecture hall.

Last update: T_KNM (16.05.2008)
Course assessment methods and requirements for successful completion, grading scheme -

Examination according to the syllabus.

Last update: T_KNM (16.05.2008)
Syllabus -

Functional analytical definition of boundary value problems (BVP).

Partial differential equations of second order in a divergence form.

Opertor of Nemitz and its properties

Variational formulation of boundary value problems.

Application of variational methods and theory of monotone and potential operators for the solution of BVP.

Introduction in the theory of parabolic equations.

Last update: T_KNM (16.05.2008)
Course registration requirements -

basic knowledge of functional analysis

Last update: T_KNM (16.05.2008)