000			03622nam a22005055i 4500
001			u374259
003			SIRSI
005			20160812084225.0
007			cr nn 008mamaa
008			100528s2010 gw | s |||| 0|eng d
020			_a9783642124136 _9978-3-642-12413-6
040			_cMX-MeUAM
050		4	_aQA370-380
082	0	4	_a515.353 _223
100	1		_aKhapalov, Alexander Y. _eauthor.
245	1	0	_aControllability of Partial Differential Equations Governed by Multiplicative Controls _h[recurso electrónico] / _cby Alexander Y. Khapalov.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aXV, 284p. 26 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1995
505	0		_aMultiplicative Controllability of Parabolic Equations -- Global Nonnegative Controllability of the 1-D Semilinear Parabolic Equation -- Multiplicative Controllability of the Semilinear Parabolic Equation: A Qualitative Approach -- The Case of the Reaction-Diffusion Term Satisfying Newton’s Law -- Classical Controllability for the Semilinear Parabolic Equations with Superlinear Terms -- Multiplicative Controllability of Hyperbolic Equations -- Controllability Properties of a Vibrating String with Variable Axial Load and Damping Gain -- Controllability Properties of a Vibrating String with Variable Axial Load Only -- Reachability of Nonnegative Equilibrium States for the Semilinear Vibrating String -- The 1-D Wave and Rod Equations Governed by Controls That Are Time-Dependent Only -- Controllability for Swimming Phenomenon -- A “Basic” 2-D Swimming Model -- The Well-Posedness of a 2-D Swimming Model -- Geometric Aspects of Controllability for a Swimming Phenomenon -- Local Controllability for a Swimming Model -- Global Controllability for a “Rowing” Swimming Model -- Multiplicative Controllability Properties of the Schrodinger Equation -- Multiplicative Controllability for the Schrödinger Equation.
520			_aThe goal of this monograph is to address the issue of the global controllability of partial differential equations in the context of multiplicative (or bilinear) controls, which enter the model equations as coefficients. The mathematical models we examine include the linear and nonlinear parabolic and hyperbolic PDE's, the Schrödinger equation, and coupled hybrid nonlinear distributed parameter systems modeling the swimming phenomenon. The book offers a new, high-quality and intrinsically nonlinear methodology to approach the aforementioned highly nonlinear controllability problems.
650		0	_aMathematics.
650		0	_aDifferential equations, partial.
650		0	_aBiology _xMathematics.
650		0	_aSystems theory.
650		0	_aHydraulic engineering.
650	1	4	_aMathematics.
650	2	4	_aPartial Differential Equations.
650	2	4	_aSystems Theory, Control.
650	2	4	_aCalculus of Variations and Optimal Control, Optimization.
650	2	4	_aMathematical Biology in General.
650	2	4	_aEngineering Fluid Dynamics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642124129
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1995
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-12413-6
596			_a19
942			_cLIBRO_ELEC
999			_c202139 _d202139