ME273 | Nonlinear Operators Theory |
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 |