000			02752cam a22002898i 4500
001			21463734
005			20250224105845.0
008			200222s2020 flu b 001 0 eng
010			_a 2019060108
020			_a9780815392613 _q(hardback)
040			_aLBSOR/DLC _beng _erda _cDLC
042			_apcc
050	0	0	_aQA372 _b.B6816 2020
082	0	0	_a515.352 _223
100	1		_aBorzì, Alfio, _eauthor. _95327
245	1	0	_aModelling with ordinary differential equations : _ba comprehensive approach / _cAlfio Borzi.
250			_aFirst edition.
263			_a2004
260		1	_aBoca Raton : _bCRC Press, _c2020.
300			_apages cm.
490	0		_aChapman & Hall/CRC numerical analysis and scientific computing series
504			_aIncludes bibliographical references and index.
505	0		_aElementary solution methods for simple ODEs -- Theory of ordinary differential calculation -- Systems of oridinary differentail equations -- Ordinary differential equations of order n -- Stability of ODE systems -- Boundary and eigenvalue problems -- Numerical solution of ODE problems -- ODEs and the calculus of variations -- Optimal control of ODE models -- Inverse problems with ODE models -- Differential games -- Stochastic differential equations -- Neural networks and ODE problems.
520			_a"Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of variation and optimal control theory that are of interest in many applications. This discussion is continued with an introduction to inverse problems governed by ODE models and to differential games. The book is completed with an illustration of stochastic differential equations and the development of neural networks to solve ODE systems. Many numerical methods are presented to solve the classes of problems discussed in this book. Features: Provides insight into rigorous mathematical issues concerning various topics, while discussing many different models of interest in different disciplines (biology, chemistry, economics, medicine, physics, social sciences, etc.) Suitable for undergraduate and graduate students and as an introduction for researchers in sciences and engineering Accompanied by MATLAB codes which allow the reader to apply the tools discussed in this book in those cases where analytical tools are not available"-- _cProvided by publisher.
650		0	_aDifferential equations. _91444
650		0	_aMathematical models. _91104
999			_c687 _d687