Stability of Solutions of Differential Equations in Banach Space
| Author | : Ju. L. Daleckii |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 396 |
| Release | : 2002-03-15 |
| Genre | : Mathematics |
| ISBN | : 0821832387 |
Stability Of Solutions Of Differential Equations In Banach Space
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Almost Periodic Solutions of Differential Equations in Banach Spaces
| Author | : Yoshiyuki Hino |
| Publisher | : CRC Press |
| Total Pages | : 276 |
| Release | : 2001-10-25 |
| Genre | : Mathematics |
| ISBN | : 9780415272667 |
This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with an original decomposition technique. The book also extends classical techniques, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations. Almost Periodic Solutions of Differential Equations in Banach Spaces will appeal to anyone working in mathematical analysis.
Evolution Equations
| Author | : Gisele Ruiz Goldstein |
| Publisher | : CRC Press |
| Total Pages | : 442 |
| Release | : 2003-06-24 |
| Genre | : Mathematics |
| ISBN | : 9780824709754 |
Celebrating the work of renowned mathematician Jerome A. Goldstein, this reference compiles original research on the theory and application of evolution equations to stochastics, physics, engineering, biology, and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory, operator theory, functional analysis, and linear and nonlinear partial differential equations, and studies the latest theoretical developments and uses of evolution equations in a variety of disciplines. Providing nearly 500 references, the book contains discussions by renowned mathematicians such as H. Brezis, G. Da Prato, N.E. Gretskij, I. Lasiecka, Peter Lax, M. M. Rao, and R. Triggiani.
Stability & Periodic Solutions of Ordinary & Functional Differential Equations
| Author | : T. A. Burton |
| Publisher | : Courier Corporation |
| Total Pages | : 370 |
| Release | : 2014-06-24 |
| Genre | : Mathematics |
| ISBN | : 0486150453 |
This book's discussion of a broad class of differential equations includes linear differential and integrodifferential equations, fixed-point theory, and the basic stability and periodicity theory for nonlinear ordinary and functional differential equations.
Hamiltonian Dynamical Systems and Applications
| Author | : Walter Craig |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 450 |
| Release | : 2008-02-17 |
| Genre | : Mathematics |
| ISBN | : 1402069642 |
This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.
Differential Equations in Abstract Spaces
| Author | : Lakshmikantham |
| Publisher | : Academic Press |
| Total Pages | : 231 |
| Release | : 1972-06-16 |
| Genre | : Computers |
| ISBN | : 0080955940 |
Differential Equations in Abstract Spaces
Differential and Integral Inequalities
| Author | : Dorin Andrica |
| Publisher | : Springer Nature |
| Total Pages | : 848 |
| Release | : 2019-11-14 |
| Genre | : Mathematics |
| ISBN | : 3030274071 |
Theories, methods and problems in approximation theory and analytic inequalities with a focus on differential and integral inequalities are analyzed in this book. Fundamental and recent developments are presented on the inequalities of Abel, Agarwal, Beckenbach, Bessel, Cauchy–Hadamard, Chebychev, Markov, Euler’s constant, Grothendieck, Hilbert, Hardy, Carleman, Landau–Kolmogorov, Carlson, Bernstein–Mordell, Gronwall, Wirtinger, as well as inequalities of functions with their integrals and derivatives. Each inequality is discussed with proven results, examples and various applications. Graduate students and advanced research scientists in mathematical analysis will find this reference essential to their understanding of differential and integral inequalities. Engineers, economists, and physicists will find the highly applicable inequalities practical and useful to their research.
Evolution Equations, Semigroups and Functional Analysis
| Author | : Brunello Terreni |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 426 |
| Release | : 2002 |
| Genre | : Mathematics |
| ISBN | : 9783764367916 |
Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi
Evolution Equations, Semigroups and Functional Analysis
| Author | : Alfredo Lorenzi |
| Publisher | : Birkhäuser |
| Total Pages | : 404 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034882211 |
Brunello Terreni (1953-2000) was a researcher and teacher with vision and dedication. The present volume is dedicated to the memory of Brunello Terreni. His mathematical interests are reflected in 20 expository articles written by distinguished mathematicians. The unifying theme of the articles is "evolution equations and functional analysis", which is presented in various and diverse forms: parabolic equations, semigroups, stochastic evolution, optimal control, existence, uniqueness and regularity of solutions, inverse problems as well as applications. Contributors: P. Acquistapace, V. Barbu, A. Briani, L. Boccardo, P. Colli Franzone, G. Da Prato, D. Donatelli, A. Favini, M. Fuhrmann, M. Grasselli, R. Illner, H. Koch, R. Labbas, H. Lange, I. Lasiecka, A. Lorenzi, A. Lunardi, P. Marcati, R. Nagel, G. Nickel, V. Pata, M. M. Porzio, B. Ruf, G. Savaré, R. Schnaubelt, E. Sinestrari, H. Tanabe, H. Teismann, E. Terraneo, R. Triggiani, A. Yagi.
