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| Author | : D Daners |
| Publisher | : Chapman and Hall/CRC |
| Total Pages | : 268 |
| Release | : 1992-12-29 |
| Genre | : Mathematics |
| ISBN | : |
Download Abstract Evolution Equations, Periodic Problems and Applications Book in PDF, ePub and Kindle
Part 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.
| Author | : Daniel Daners |
| Publisher | : Longman Sc & Tech |
| Total Pages | : 249 |
| Release | : 1992 |
| Genre | : Mathematics |
| ISBN | : 9780470220818 |
Download Abstract Evolution Equations, Periodic Problems and Applications Book in PDF, ePub and Kindle
| Author | : Toka Diagana |
| Publisher | : Springer |
| Total Pages | : 189 |
| Release | : 2018-10-23 |
| Genre | : Mathematics |
| ISBN | : 303000449X |
Download Semilinear Evolution Equations and Their Applications Book in PDF, ePub and Kindle
This 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.
| Author | : Atsushi Yagi |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 594 |
| Release | : 2009-11-03 |
| Genre | : Mathematics |
| ISBN | : 3642046312 |
Download Abstract Parabolic Evolution Equations and their Applications Book in PDF, ePub and Kindle
This monograph is intended to present the fundamentals of the theory of abstract parabolic evolution equations and to show how to apply to various nonlinear dif- sion equations and systems arising in science. The theory gives us a uni?ed and s- tematic treatment for concrete nonlinear diffusion models. Three main approaches are known to the abstract parabolic evolution equations, namely, the semigroup methods, the variational methods, and the methods of using operational equations. In order to keep the volume of the monograph in reasonable length, we will focus on the semigroup methods. For other two approaches, see the related references in Bibliography. The semigroup methods, which go back to the invention of the analytic se- groups in the middle of the last century, are characterized by precise formulas representing the solutions of the Cauchy problem for evolution equations. The ?tA analytic semigroup e generated by a linear operator ?A provides directly a fundamental solution to the Cauchy problem for an autonomous linear e- dU lution equation, +AU =F(t), 0
| Author | : Oliver Caps |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 310 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3322800393 |
Download Evolution Equations in Scales of Banach Spaces Book in PDF, ePub and Kindle
The book provides a new functional-analytic approach to evolution equations by considering the abstract Cauchy problem in a scale of Banach spaces. Conditions are proved characterizing well-posedness of the linear, time-dependent Cauchy problem in scales of Banach spaces and implying local existence, uniqueness, and regularity of solutions of the quasilinear Cauchy problem. Many applications illustrate the generality of the approach. In particular, using the Fefferman-Phong inequality unifying results on parabolic and hyperbolic equations generalizing classical ones and a unified treatment of Navier-Stokes and Euler equations is described. Assuming only basic knowledge in analysis and functional analysis the book provides all mathematical tools and is aimed for students, graduates, researchers, and lecturers.
| Author | : Gaston M. N'Guerekata |
| Publisher | : Nova Publishers |
| Total Pages | : 258 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 9781604562262 |
Download Leading-edge Research on Evolution Equations Book in PDF, ePub and Kindle
This book presents high-quality research from around the world on the theory and methods of linear or nonlinear evolution equations as well as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. The book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.
| Author | : Yuri A. Mitropolsky |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 291 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 940112728X |
Download Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients Book in PDF, ePub and Kindle
Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems. The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A numerical-analytic method for the investigation of periodic solutions of these evolution equations is presented. In Chapters 2 and 3, problems concerning the existence of periodic and quasiperiodic solutions for systems with lag are examined. For a nonlinear system with quasiperiodic coefficients and lag, the conditions under which quasiperiodic solutions exist are established. Chapter 4 is devoted to the study of invariant toroidal manifolds for various classes of systems of differential equations with quasiperiodic coefficients. Chapter 5 examines the problem concerning the reducibility of a linear system of difference equations with quasiperiodic coefficients to a linear system of difference equations with constant coefficients. Chapter 6 contains an investigation of invariant toroidal sets for systems of difference equations with quasiperiodic coefficients. For mathematicians whose work involves the study of oscillating systems.
| Author | : Mimmo Iannelli |
| Publisher | : Birkhäuser |
| Total Pages | : 419 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 3034880855 |
Download Evolution Equations: Applications to Physics, Industry, Life Sciences and Economics Book in PDF, ePub and Kindle
The international conference on which the book is based brought together many of the world's leading experts, with particular effort on the interaction between established scientists and emerging young promising researchers, as well as on the interaction of pure and applied mathematics. All material has been rigorously refereed. The contributions contain much material developed after the conference, continuing research and incorporating additional new results and improvements. In addition, some up-to-date surveys are included.
| Author | : Yong-kui Chang |
| Publisher | : World Scientific |
| Total Pages | : 209 |
| Release | : 2022-07-13 |
| Genre | : Mathematics |
| ISBN | : 9811254370 |
Download Bloch-type Periodic Functions: Theory And Applications To Evolution Equations Book in PDF, ePub and Kindle
This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.
| Author | : Gisele Ruiz Goldstein |
| Publisher | : CRC Press |
| Total Pages | : 440 |
| Release | : 2019-04-24 |
| Genre | : Mathematics |
| ISBN | : 1482275953 |
Download Evolution Equations Book in PDF, ePub and Kindle
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 li
