Ordinary differential equations and dynamical systems (1) |
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Teaching Staff in Charge |
Prof. RUS Ioan, Ph.D., iarus@math.ubbcluj.ro Prof. MICULA Gheorghe, Ph.D., ghmicula@math.ubbcluj.ro Assoc.Prof. BEGE Antal, Ph.D., bege@math.ubbcluj.ro |
Aims |
Introduction to the basic problems of ordinary differential equations control paper (25 % of the final mark), written examination (40%) and oral examination (35%). |
Content |
1. Mathematical modelling and differential equations
2. Operatorial equations in metric spaces. 3. The Cauchy problem. 4. Solution set of a differential equation. 5. n-order linear differential equations 6. First order linear systems of differential equations |
References |
1. A. Rus, Ecuatii diferentiale, ecuatii integrale si sisteme dinamice (Transilvania Press, Cluj-Napoca, 1996).
2. A. Rus, P. Pavel, Ecuatii diferentiale, Ed. Didactica, Bucuresti, 1982. 3. V. Barbu, Ecuatii diferentiale, Ed. Junimea, Iasi, 1985. 4. D.V. Ionescu, Ecuatii diferentiale si integrale, Ed. Didactica, Bucuresti, 1972. |
Assessment |
Exam. |