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Fundamentals of Theory of Monotone and Potential Operators - NRFA058

Title:	Základy teorie monotónních a potenciálních operátorů
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2014 to 2017
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Additional information:	http://www.karlin.mff.cuni.cz/~dolejsi/Vyuka/index.htm

Guarantor:	RNDr. Miloslav Vlasák, Ph.D.
Class:	DS, vědecko - technické výpočty
Classification:	Mathematics > Functional Analysis

Annotation -

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

Formulation of problems via a functional analysis, fixed point theory, theory of monotone and potential operators, use in numerical methods.

Aim of the course -

Last update: T_KNM (19.05.2008)

Formulation of problems via functional analysis, fixed point theory, theory of monotone and potential operators, use in numerical methods.

Literature -

Last update: T_KNM (19.05.2008)

Gajewski H., Gröger K., Zacharias K.: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen. Berlín l974, (ruský překlad l978)

Fučík Sv., Nečas J., Souček J., Souček V.: Spectral analysis of nonlinear operators, l973

Deimling K.: Nonlinear functional analysis, l985

Zeidler E.: Nonlinear Functional Analysis and Its Applications l, l984

Teaching methods -

Last update: T_KNM (16.05.2008)

Lectures in a lecture hall.

Requirements to the exam -

Last update: T_KNM (16.05.2008)

Examination according to the syllabus.

Syllabus -

Last update: T_KNM (19.05.2008)

Introduction in the theory of differential calculus in Banach spaces.

Formulation of problems via functional analysis,

fixed point theory,

theory of monotone operators,

theory of potential operators,

numerical methods.

Entry requirements -

Last update: T_KNM (19.05.2008)

basic knowledge of functional analysis