20.500.12556/RUL-68050 Riccatijeve diferencialne enačbe diplomsko delo Riccati differential equations Diplomsko delo obravnava Riccatijeve diferencialne enačbe, ki jih uporabljamo v matematiki in mnogih drugih naravoslovnih vedah. Te enačbe so predstavljene v osnovni in nekaterih specifičnih oblikah ter podkrepljene z raznimi primeri, tako da je obravnavana tema čim bolj jasna in razumljiva. Predstavljene so predvsem Riccatijeve diferencialne enačbe prvega reda, na koncu pa še povezava z linearno diferencialno enačbo drugega reda. V začetku je kot osnova reševanja povzeta obravnava navadnih diferencialnih enačb prvega reda. Definirani so pojmi rešitev ali integral diferencialne enačbe, red diferencialne enačbe in stopnja diferencialne enačbe. Na kratko je opisano tudi življenje Jacopa Francesca Riccatija, avtorja Riccatijevih enačb, in njegov prispevek k reševanju diferencialnih enačb. The intention of this thesis is to present Riccati differential equations, which are used in mathematics and in many other natural sciences. These equations are presented in their basic and in some specific forms and supported with several examples, which make this issue easier to understand. We will introduce mostly Riccati equations of first order and also their correlation with second-order differential equation. At the beginning of solving equations we will sum up the process of solving first-order differential equation and define the concept of the solution or the integral of a differential equation, order of a differential equation and degree of a differential equation. At the end, there is a short description of Jacopo Francesco Riccati’s biography, the author of Riccati equations and his contribution to solving differential equations. diferencialne enačbe true false false [A. Brolih] Slovenski jezik Angleški jezik Diplomsko delo 2015-07-10 20:56:19 2015-07-10 20:56:19 2025-04-17 04:52:06 0000-00-00 00:00:00 2011 0 Ljubljana 0 47 str. 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 517.923(043.2) 8900425 Riccatijeve_diferencialne_enacbe_diplomsko_delo.pdf Riccatijeve_diferencialne_enacbe_diplomsko_delo.pdf 1 3367139978CE4C209E15864B815C6971 85e384bfc3dd99d83e847ebd42dbe279e3fb4b3109c2fcc42b170864ceb599c0 a66f377e-1aa6-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=203776 Pedagoška fakulteta 0 0 0