04812nam 22007335 450 99646649440331620200701195734.01-280-39173-197866135696533-642-12413-510.1007/978-3-642-12413-6(CKB)2550000000011508(SSID)ssj0000449264(PQKBManifestationID)11303967(PQKBTitleCode)TC0000449264(PQKBWorkID)10429115(PQKB)10352803(DE-He213)978-3-642-12413-6(MiAaPQ)EBC3065286(PPN)149078587(EXLCZ)99255000000001150820100528d2010 u| 0engurnn|008mamaatxtccrControllability of Partial Differential Equations Governed by Multiplicative Controls[electronic resource] /by Alexander Y. Khapalov1st ed. 2010.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2010.1 online resource (XV, 284 p. 26 illus.) Lecture Notes in Mathematics,0075-8434 ;1995Bibliographic Level Mode of Issuance: Monograph3-642-12412-7 Includes bibliographical references (p. 275-281) and index.Multiplicative 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.The 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.Lecture Notes in Mathematics,0075-8434 ;1995Partial differential equationsSystem theoryCalculus of variationsBiomathematicsFluid mechanicsPartial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Systems Theory, Controlhttps://scigraph.springernature.com/ontologies/product-market-codes/M13070Calculus of Variations and Optimal Control; Optimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26016Mathematical and Computational Biologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M31000Engineering Fluid Dynamicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15044Partial differential equations.System theory.Calculus of variations.Biomathematics.Fluid mechanics.Partial Differential Equations.Systems Theory, Control.Calculus of Variations and Optimal Control; Optimization.Mathematical and Computational Biology.Engineering Fluid Dynamics.515.353Khapalov Alexander Yauthttp://id.loc.gov/vocabulary/relators/aut478941BOOK996466494403316Controllability of partial differential equations governed by multiplicative controls261787UNISA03404nam 22007335 450 991014627340332120210913140011.03-540-39936-410.1007/b14147(CKB)1000000000437261(SSID)ssj0000321898(PQKBManifestationID)12131450(PQKBTitleCode)TC0000321898(PQKBWorkID)10280229(PQKB)10357994(DE-He213)978-3-540-39936-0(MiAaPQ)EBC5585184(Au-PeEL)EBL5585184(OCoLC)53925508(PPN)23803657X(EXLCZ)99100000000043726120121227d2003 u| 0engurnn#008mamaatxtccrCombinations of Complex Dynamical Systems /by Kevin M. Pilgrim1st ed. 2003.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2003.1 online resource (XII, 120 p.)Lecture Notes in Mathematics,0075-8434 ;1827Bibliographic Level Mode of Issuance: Monograph3-540-20173-4 Introduction -- Preliminaries -- Combinations -- Uniqueness of combinations -- Decompositions -- Uniqueness of decompositions -- Counting classes of annulus maps -- Applications to mapping class groups. Examples -- Canonical decomposition theorem.This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical systems on the Riemann sphere. It is intended for researchers interested in the classification of those complex one-dimensional dynamical systems which are in some loose sense tame. The program is motivated by the dictionary between the theories of iterated rational maps and Kleinian groups.Lecture Notes in Mathematics,0075-8434 ;1827Functions of complex variablesDynamicsErgodic theoryGlobal analysis (Mathematics)Manifolds (Mathematics)Functions of a Complex Variablehttps://scigraph.springernature.com/ontologies/product-market-codes/M12074Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XGlobal Analysis and Analysis on Manifoldshttps://scigraph.springernature.com/ontologies/product-market-codes/M12082Functions of complex variables.Dynamics.Ergodic theory.Global analysis (Mathematics)Manifolds (Mathematics)Functions of a Complex Variable.Dynamical Systems and Ergodic Theory.Global Analysis and Analysis on Manifolds.515/.39510 s37F20mscPilgrim Kevin Mauthttp://id.loc.gov/vocabulary/relators/aut150317MiAaPQMiAaPQMiAaPQBOOK9910146273403321Combinations of complex dynamical systems168035UNINA