Bounded Solutions of Second Order Semilinear Evolution Equations and Applications to the Telegraph Equation
Author: J. M. Alonso (mathematician.)
Publisher:
Published: 1998
Total Pages: 19
ISBN-13:
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Semilinear Evolution Equations and Their Applications
Author: Toka Diagana
Publisher: Springer
Published: 2018-10-23
Total Pages: 199
ISBN-13: 303000449X
DOWNLOAD EBOOKThis book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones. Various stability, uniqueness, and existence results are established using various tools from nonlinear functional analysis and operator theory (such as semigroup methods). Various applications to partial differential equations and the dynamic of populations are amply discussed. This self-contained volume is primarily intended for advanced undergraduate and graduate students, post-graduates and researchers, but may also be of interest to non-mathematicians such as physicists and theoretically oriented engineers. It can also be used as a graduate text on evolution equations and difference equations and their applications to partial differential equations and practical problems arising in population dynamics. For completeness, detailed preliminary background on Banach and Hilbert spaces, operator theory, semigroups of operators, and almost periodic functions and their spectral theory are included as well.
An Introduction to Semilinear Evolution Equations
Author: Thierry Cazenave
Publisher: Oxford University Press
Published: 1998
Total Pages: 204
ISBN-13: 9780198502777
DOWNLOAD EBOOKThis book presents in a self-contained form the typical basic properties of solutions to semilinear evolutionary partial differential equations, with special emphasis on global properties. It has a didactic ambition and will be useful for an applied readership as well as theoretical researchers.
Information Computing and Applications
Author: Yuhang Yang
Publisher: Springer
Published: 2013-12-20
Total Pages: 687
ISBN-13: 3642539327
DOWNLOAD EBOOKThis two-volume set of CCIS 391 and CCIS 392 constitutes the refereed proceedings of the Fourth International Conference on Information Computing and Applications, ICICA 2013, held in Singapore, in August 2013. The 126 revised full papers presented in both volumes were carefully reviewed and selected from 665 submissions. The papers are organized in topical sections on Internet computing and applications; engineering management and applications; intelligent computing and applications; control engineering and applications; cloud and evolutionary computing; knowledge management and applications; computational statistics and applications.
Abstract Evolution Equations, Periodic Problems and Applications
Author: D Daners
Publisher: Chapman and Hall/CRC
Published: 1992-12-29
Total Pages: 268
ISBN-13:
DOWNLOAD EBOOKPart of the Pitman Research Notes in Mathematics series, this text covers: linear evolution equations of parabolic type; semilinear evolution equations of parabolic type; evolution equations and positivity; semilinear periodic evolution equations; and applications.
Evolution Equations
Author: Gisele Ruiz Goldstein
Publisher: CRC Press
Published: 2003-06-24
Total Pages: 442
ISBN-13: 9780824709754
DOWNLOAD EBOOKCelebrating 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.
Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces
Author: Behzad Djafari Rouhani
Publisher: CRC Press
Published: 2019-05-20
Total Pages: 131
ISBN-13: 0429528884
DOWNLOAD EBOOKThis book is devoted to the study of non-linear evolution and difference equations of first or second order governed by maximal monotone operator. This class of abstract evolution equations contains ordinary differential equations, as well as the unification of some important partial differential equations including heat equation, wave equation, Schrodinger equation, etc. The book contains a collection of the authors' work and applications in this field, as well as those of other authors.
Séminaire de mathématique
Author:
Publisher:
Published: 1998-07
Total Pages: 24
ISBN-13:
DOWNLOAD EBOOKEvolution Equations And Approximations
Author: Kazufumi Ito
Publisher: World Scientific
Published: 2002-05-24
Total Pages: 518
ISBN-13: 9814488380
DOWNLOAD EBOOKThis book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems.The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and the Lie-Trotter type product formula give a mathematical framework for the convergence analysis of numerical approximations of solutions to a general class of partial differential equations. This book contains examples demonstrating the applicability of the generation as well as the approximation theory.In addition, the Kobayashi-Oharu approach of locally quasi-dissipative operators is discussed for homogeneous as well as nonhomogeneous equations. Applications to the delay differential equations, Navier-Stokes equation and scalar conservation equation are given.
Evolution Equations With A Complex Spatial Variable
Author: Ciprian G Gal
Publisher: World Scientific
Published: 2014-03-18
Total Pages: 202
ISBN-13: 9814590614
DOWNLOAD EBOOKThis book investigates several classes of partial differential equations of real time variable and complex spatial variables, including the heat, Laplace, wave, telegraph, Burgers, Black-Merton-Scholes, Schrödinger and Korteweg-de Vries equations.The complexification of the spatial variable is done by two different methods. The first method is that of complexifying the spatial variable in the corresponding semigroups of operators. In this case, the solutions are studied within the context of the theory of semigroups of linear operators. It is also interesting to observe that these solutions preserve some geometric properties of the boundary function, like the univalence, starlikeness, convexity and spirallikeness. The second method is that of complexifying the spatial variable directly in the corresponding evolution equation from the real case. More precisely, the real spatial variable is replaced by a complex spatial variable in the corresponding evolution equation and then analytic and non-analytic solutions are sought.For the first time in the book literature, we aim to give a comprehensive study of the most important evolution equations of real time variable and complex spatial variables. In some cases, potential physical interpretations are presented. The generality of the methods used allows the study of evolution equations of spatial variables in general domains of the complex plane.
