000			02491nam a2200301Ia 4500
001			CAH00K13799000
003			FlBoTFG
005			20170124152730.0
008			120413s2012 fluad b 001 0 eng
010			_a 2012009388
020			_a9781439880838
040			_aDLC _cDLC _dFlBoTFG
050	0	0	_aQA321 _b.B36 2012
092			_a515.7 _bB218
100	1		_aBanks, H. Thomas.
245	1	2	_aA functional analysis framework for modeling, estimation and control in science and engineering / _cH.T. Banks.
260			_aBoca Raton, Fla. : _bCRC Press, _c2012.
300			_axi, 268 p. : _bill. ; _c[ca. 23-29] cm.
500			_a"A Chapman & Hall book."
504			_aIncludes bibliographical references (p. 241-263) and index.
505	0		_a1. Introduction to functional analysis in applications -- 2. Semigroups and infinitesimal generators -- 3. Generators -- 4. Adjoint operators and dual spaces -- 5. Gelfand triple, sesquilinear forms, and Lax-Milgram -- 6. Analytic semigroups -- 7. Abstract cauchy problems -- 8. General second-order systems -- 9. Weak formulations for second-order systems -- 10. Inverse or parameter estimation problems -- 11. 'Weak' or 'variational form' -- 12. Finite element approximations and the Trotter-Kato theorems -- 13. Delay systems : linear and nonlinear -- 14. Weak convergence and the Prohorov metric in inverse problems -- 15. The Prohorov metric in optimization and optimal design problems -- 16. Control theory for distributed parameter systems -- 17. Families of approximate control problems.
520			_a"The result of lecture notes from courses the author has taught in applied functional analysis beginning in the late 1980s through the present, the choices of topics covered here are not purported to be comprehensive and even border on the eclectic. In contrast to classical PDE techniques, functional analysis is presented as a basis of modern partial and delay differential equation techniques. It is also somewhat different from the emphasis in usual functional analysis courses where functional analysis is a subdiscipline in its own right. Here it is treated as a tool to be used in understanding and treating distributed parameter systems"-- _cProvided by publisher.
530			_aAlso available as an electronic resource.
650		0	_aFunctional analysis.
650		0	_aScience _xMathematical models.
650		0	_aEngineering _xMathematical models.
945			_a001 and 003 modified with TFG record number on 2012/07/20
999			_c423364 _d423364