000			03211nam a22003858i 4500
001			CR9781139087353
003			UkCbUP
005			20200124160234.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			110512s2010||||enk o ||1 0|eng|d
020			_a9781139087353 (ebook)
020			_z9780521195034 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA402.37 _b.M67 2010
082	0	0	_a629.8/312 _222
100	1		_aMorimoto, Hiroaki, _d1945- _eauthor.
245	1	0	_aStochastic control and mathematical modeling : _bapplications in economics / _cHiroaki Morimoto.
246	3		_aStochastic Control & Mathematical Modeling
264		1	_aCambridge : _bCambridge University Press, _c2010.
300			_a1 online resource (xiii, 325 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aEncyclopedia of mathematics and its applications ; _vvolume 131
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aStochastic calculus and optimal control theory -- Foundations of stochastic calculus -- Stochastic differential equations: weak formulation -- Dynamic programming -- Viscosity solutions of Hamilton-Jacobi-Bellman equations -- Classical solutions of Hamilton-Jacobi-Bellman equations -- Applications to mathematical models in economics -- Production planning and inventory -- Optimal consumption/investment models -- Optimal exploitation of renewable resources -- Optimal consumption models in economic growth -- Optimal pollution control with long-run average criteria -- Optimal stopping problems -- Investment and exit decisions -- Appendices -- A. Dini's theorem -- B. The Stone-Weierstrass theorem -- C. The Riesz representation theorem -- D. Rademacher's theorem -- E. Vitali's covering theorem -- F. The area formula -- G. The Brouwer fixed point theorem -- H. The Ascoli-Arzelà theorem.
520			_aThis is a concise and elementary introduction to stochastic control and mathematical modelling. This book is designed for researchers in stochastic control theory studying its application in mathematical economics and those in economics who are interested in mathematical theory in control. It is also a good guide for graduate students studying applied mathematics, mathematical economics, and non-linear PDE theory. Contents include the basics of analysis and probability, the theory of stochastic differential equations, variational problems, problems in optimal consumption and in optimal stopping, optimal pollution control, and solving the Hamilton-Jacobi-Bellman (HJB) equation with boundary conditions. Major mathematical prerequisites are contained in the preliminary chapters or in the appendix so that readers can proceed without referring to other materials.
650		0	_aStochastic control theory.
650		0	_aOptimal stopping (Mathematical statistics)
650		0	_aStochastic differential equations.
776	0	8	_iPrint version: _z9780521195034
830		0	_aEncyclopedia of mathematics and its applications ; _vv. 131.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139087353
999			_c517853 _d517851