Svatopluk Fucik's Books

Function Spaces

By: A. Kufner,Oldrich John,Svatopluk Fucik

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Function Spaces

By: A. Kufner,Oldrich John,Svatopluk Fucik

Kniha popisuje teorii různých prostorů funkcí a dává možnost funkcionálně analytickému přístupu k řešení diferenciálních rovnic. Je rozdělena do tří částí, z nichž první pojednává předběžně o funkcionální analýze, ovektorových, metrických, lineárních, Banachových a Hilbertových prostorech, operátorech apod. Druhá část pojednává o integrovatelných funkcích a o prostorech a integrálech různých autorů. V třetí části se popisují Sobolevovy aOrliczovy prostory, dále prostory anizotropní, Nikolského a Slobodeckého.

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Page Count

484

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9028600159

ISBN 13

9789028600157

Nonlinear Differential Equations

By: Svatopluk Fucik,Alois Kufner

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Nonlinear Differential Equations

By: Svatopluk Fucik,Alois Kufner

Studies in Applied Mathematics, 2: Nonlinear Differential Equations focuses on modern methods of solutions to boundary value problems in linear partial differential equations. The book first tackles linear and nonlinear equations, free boundary problem, second order equations, higher order equations, boundary conditions, and spaces of continuous functions. The text then examines the weak solution of a boundary value problem and variational and topological methods. Discussions focus on general boundary conditions for second order ordinary differential equations, minimal surfaces, existence theorems, potentials of boundary value problems, second derivative of a functional, convex functionals, Lagrange conditions, differential operators, Sobolev spaces, and boundary value problems. The manuscript examines noncoercive problems and vibrational inequalities. Topics include existence theorems, formulation of the problem, vanishing nonlinearities, jumping nonlinearities with finite jumps, rapid nonlinearities, and periodic problems. The text is highly recommended for mathematicians and engineers interested in nonlinear differential equations.

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360

Publisher

Elsevier

Published Date

ISBN 10

1483278379

ISBN 13

9781483278377

Function Spaces, 1

By: Luboš Pick,Alois Kufner,Oldřich John,Svatopluk Fucík

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Function Spaces, 1

By: Luboš Pick,Alois Kufner,Oldřich John,Svatopluk Fucík

This is the first part of the second revised and extended edition of the well established book "Function Spaces" by Alois Kufner, Oldřich John, and Svatopluk Fučík. Like the first edition this monograph is an introduction to function spaces defined in terms of differentiability and integrability classes. It provides a catalogue of various spaces and benefits as a handbook for those who use function spaces in their research or lecture courses. This first volume is devoted to the study of function spaces, based on intrinsic properties of a function such as its size, continuity, smoothness, various forms of a control over the mean oscillation, and so on. The second volume will be dedicated to the study of function spaces of Sobolev type, in which the key notion is the weak derivative of a function of several variables.

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Page Count

495

Publisher

Walter de Gruyter

Published Date

ISBN 10

311025042X

ISBN 13

9783110250428

Nonlinear Differential Equations

By: Svatopluk Fucik,Alois Kufner

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Nonlinear Differential Equations

By: Svatopluk Fucik,Alois Kufner

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Solve jigsaw puzzle

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360

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Elsevier

Published Date

ISBN 10

1483278379

ISBN 13

9781483278377

Book's by Svatopluk Fucik

Function Spaces

Function Spaces

Nonlinear Differential Equations

Nonlinear Differential Equations

Function Spaces, 1

Function Spaces, 1

Nonlinear Differential Equations

Nonlinear Differential Equations

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