Title Details: | |
Systems of first-order differential equations |
|
Authors: |
Tsitsas, Nikolaos |
Reviewer: |
Frantzeskakis, Dimitrios |
Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FUNCTIONS OF A COMPLEX VARIABLE MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FUNCTIONS OF A COMPLEX VARIABLE > SERIES EXPANSIONS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ORDINARY DIFFERENTIAL EQUATIONS > GENERAL THEORY MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > PARTIAL DIFFERENTIAL EQUATIONS > GENERAL HIGHER-ORDER EQUATIONS AND SYSTEMS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ORDINARY DIFFERENTIAL EQUATIONS |
Description: | |
Abstract: |
Many important real-world problems, primarily in physical, technological, and biological sciences, where various variables depend on the same independent variable, are formulated in mathematical terms, modeled, and simulated using systems of differential equations. Among these problems are movements in gravitational fields, coupled electrical circuits, and the study of population models involving predators and prey. The modeling of these problems has been a driving force for the theoretical and applied investigation of systems of differential equations. This chapter begins by defining the basic introductory concepts, establishing relevant terminology, and analyzing certain problem modeling approaches. Subsequently, a concise presentation of the general theory and solution techniques for linear systems of first-order differential equations is provided.
|
Type: |
Chapter |
Creation Date: | 2015 |
Item Details: | |
License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
Handle | http://hdl.handle.net/11419/1144 |
Bibliographic Reference: | Tsitsas, N. (2015). Systems of first-order differential equations [Chapter]. In Tsitsas, N. 2015. Applied Mathematics [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/1144 |
Language: |
Greek |
Is Part of: |
Applied Mathematics |
Publication Origin: |
Kallipos, Open Academic Editions |