Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Master

SUBJECT

Code
Subject
ME273 Nonlinear Operators Theory
Section
Semester
Hours: C+S+L
Category
Type
Applied Mathematics
2
2+1+1
compulsory
Teaching Staff in Charge
Prof. PRECUP Radu, Ph.D.,  r.precupmath.ubbcluj.ro
Prof. PETRUSEL Adrian Olimpiu, Ph.D.,  petruselmath.ubbcluj.ro
Aims
The abstract theory of Picard and weakly Picard operators is presented.
Content
1. Picard operators. Examples, general properties.
2. Weakly Picard operators. Examples, general properties.
3. Data dependence of the fixed point set.
4. Operatorial inequalities, Gronwall type inequalities, differential inequalities.
5. Comparison theorems
References
1. RUS I.A.: Principii si aplicatii ale teoriei punctului fix.
2. RUS I.A.: Generalized contractions and applications. Cluj: University Press, 2001.
3. RUS I.A. si IANCU C.: Modelare matematica. Cluj-Napoca: Transilvania Press, 2000.
4. DEIMLING K.: Nonlinear Functional Analysis. Berlin: Springer, 1985.
5. KIRK W. A. and SIMS B.(eds.): Handbook of Metric Fixed Point Theory. Dordrecht: Kluwer Acad. Publ., 2001.
Assessment
Exam
Links: Syllabus for all subjects
Romanian version for this subject
Rtf format for this subject