|
subject |
Differential equations
|
|
lecturers |
Dr. Faragó István, professor |
|
credits |
2+2=4 |
|
period |
5 |
|
curriculum |
Fourier series. Basic
notions of ordinary differential equations. Simple types of ordinary
differential equations. Exact differential equations. Separable differential
equations. First-order differential equations. Cauchy problem. Lipshitz
property. Existence and uniqueness theorem. Linear first-order systems of
differential equations, higher-order differential equations. Constant
coefficient linear systems. The Sturm-Liouville problem. Basic stability
notions. Basic notions of partial differential equations. Laplace equation.
Heat equation (Poisson formula). Hyperbolic problems (D’Alembert formula). Inhomogeneous problems on
an infinite domain (Duhamel principle) |
|
literature |
Ponomarjov, K.K. Differenciálegyenletek felállítása és
megoldása, Tankönyvkiadó, 1969. Tóth, J, Simon, P. Differenciálegyenletek. Typotex,
2005. Simon, L. Baderko, E. A. Másodrendű lineáris
parciális differenciálegyenletek, Tankönyvkiadó, |
|
form
of tuition |
lectures, practical exercises |
|
mode
of assessment |
Written exam, reporting |