Analiză neliniară |
trul |
|||||
Cadre didactice indrumatoare |
Lect. Dr. BEGE Antal, bege@math.ubbcluj.ro |
Obiective |
Prezentarea teoremelor de baza din teoria discreta a punctului fix cu aplicatii la ecuatii diferentiale si integrale. |
Continut |
1. Teoreme de punct fix in multimi ordonate
2. Teoreme de punct fix in spa&tii Banach ordonate 3. Subsolutii si suprasolutii pentru ecuatii 4. Teoreme de existenta si unicitate pentru ecuatii diferentiale si integrale 5. Inegalitatea lui Opial si aplicatii |
Bibliografie |
1. A. Bege, Teoria discreta a punctului fixsi aplicatii, Presa Universitara, Cluj, 2002 (in curs de aparitie).
2. I. A Rus, generalized contractions and applications, Cluj University Press, 2001. 3. S. Heikkila, V. Laksmikantham, Monotone iterative techniques for discontinuous nonlinear differential equations, Marcel Dekker, New Zork, 1994. 4. R. V. Agarwal, P. Z. H. Pang, Opial inequalities with applicationsin differential and difference equations, Kluwer Academic Publisher, 1995. 5. S. Carl, S. Heikkila, Nonlinear differential equations in ordered spaces, Chapman and Hall, London, 2001. |
Evaluare |
Examen |