Spectral Theory And Nonlinear Analysis With Applications To Spatial Ecology
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Author |
: Santiago Cano-casanova |
Publisher |
: World Scientific |
Total Pages |
: 289 |
Release |
: 2005-09-29 |
ISBN-10 |
: 9789814479264 |
ISBN-13 |
: 9814479268 |
Rating |
: 4/5 (64 Downloads) |
Synopsis Spectral Theory And Nonlinear Analysis With Applications To Spatial Ecology by : Santiago Cano-casanova
This volume details some of the latest advances in spectral theory and nonlinear analysis through various cutting-edge theories on algebraic multiplicities, global bifurcation theory, non-linear Schrödinger equations, non-linear boundary value problems, large solutions, metasolutions, dynamical systems, and applications to spatial ecology.The main scope of the book is bringing together a series of topics that have evolved separately during the last decades around the common denominator of spectral theory and nonlinear analysis — from the most abstract developments up to the most concrete applications to population dynamics and socio-biology — in an effort to fill the existing gaps between these fields.
Author |
: Julián López-Gómez |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 324 |
Release |
: 2007-08-09 |
ISBN-10 |
: 9783764384012 |
ISBN-13 |
: 3764384018 |
Rating |
: 4/5 (12 Downloads) |
Synopsis Algebraic Multiplicity of Eigenvalues of Linear Operators by : Julián López-Gómez
This book brings together all available results about the theory of algebraic multiplicities. It first offers a classic course on finite-dimensional spectral theory and then presents the most general results available about the existence and uniqueness of algebraic multiplicities for real non-analytic operator matrices and families. Coverage next transfers these results from linear to nonlinear analysis.
Author |
: |
Publisher |
: |
Total Pages |
: 994 |
Release |
: 2008 |
ISBN-10 |
: UOM:39015082440887 |
ISBN-13 |
: |
Rating |
: 4/5 (87 Downloads) |
Synopsis Mathematical Reviews by :
Author |
: Pierre Magal |
Publisher |
: Springer |
Total Pages |
: 558 |
Release |
: 2018-11-21 |
ISBN-10 |
: 9783030015060 |
ISBN-13 |
: 3030015068 |
Rating |
: 4/5 (60 Downloads) |
Synopsis Theory and Applications of Abstract Semilinear Cauchy Problems by : Pierre Magal
Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain. This monograph provides a self-contained and comprehensive presentation of the fundamental theory of non-densely defined semilinear Cauchy problems and their applications. Starting from the classical Hille-Yosida theorem, semigroup method, and spectral theory, this monograph introduces the abstract Cauchy problems with non-dense domain, integrated semigroups, the existence of integrated solutions, positivity of solutions, Lipschitz perturbation, differentiability of solutions with respect to the state variable, and time differentiability of solutions. Combining the functional analysis method and bifurcation approach in dynamical systems, then the nonlinear dynamics such as the stability of equilibria, center manifold theory, Hopf bifurcation, and normal form theory are established for abstract Cauchy problems with non-dense domain. Finally applications to functional differential equations, age-structured models, and parabolic equations are presented. This monograph will be very valuable for graduate students and researchers in the fields of abstract Cauchy problems, infinite dimensional dynamical systems, and their applications in biological, chemical, medical, and physical problems.
Author |
: United States. National Aeronautics and Space Administration |
Publisher |
: |
Total Pages |
: 1318 |
Release |
: 1962 |
ISBN-10 |
: MINN:31951D00118674L |
ISBN-13 |
: |
Rating |
: 4/5 (4L Downloads) |
Synopsis Technical Publications Announcements with Indexes by : United States. National Aeronautics and Space Administration
Author |
: Laurent Seuront |
Publisher |
: CRC Press |
Total Pages |
: 622 |
Release |
: 2003-09-25 |
ISBN-10 |
: 9780203489550 |
ISBN-13 |
: 0203489551 |
Rating |
: 4/5 (50 Downloads) |
Synopsis Handbook of Scaling Methods in Aquatic Ecology by : Laurent Seuront
The evolution of observational instruments, simulation techniques, and computing power has given aquatic scientists a new understanding of biological and physical processes that span temporal and spatial scales. This has created a need for a single volume that addresses concepts of scale in a manner that builds bridges between experimentalists and
Author |
: |
Publisher |
: |
Total Pages |
: 624 |
Release |
: 2004 |
ISBN-10 |
: UOM:39015059093438 |
ISBN-13 |
: |
Rating |
: 4/5 (38 Downloads) |
Synopsis Communications in Applied Analysis by :
Author |
: Michael Small |
Publisher |
: World Scientific |
Total Pages |
: 261 |
Release |
: 2005-03-28 |
ISBN-10 |
: 9789814481229 |
ISBN-13 |
: 981448122X |
Rating |
: 4/5 (29 Downloads) |
Synopsis Applied Nonlinear Time Series Analysis: Applications In Physics, Physiology And Finance by : Michael Small
Nonlinear time series methods have developed rapidly over a quarter of a century and have reached an advanced state of maturity during the last decade. Implementations of these methods for experimental data are now widely accepted and fairly routine; however, genuinely useful applications remain rare. This book focuses on the practice of applying these methods to solve real problems.To illustrate the usefulness of these methods, a wide variety of physical and physiological systems are considered. The technical tools utilized in this book fall into three distinct, but interconnected areas: quantitative measures of nonlinear dynamics, Monte-Carlo statistical hypothesis testing, and nonlinear modeling. Ten highly detailed applications serve as case studies of fruitful applications and illustrate the mathematical techniques described in the text.
Author |
: |
Publisher |
: |
Total Pages |
: 572 |
Release |
: |
ISBN-10 |
: STANFORD:36105211323477 |
ISBN-13 |
: |
Rating |
: 4/5 (77 Downloads) |
Synopsis Air Force Research Resumés by :
Author |
: D.J. Daley |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 487 |
Release |
: 2006-04-10 |
ISBN-10 |
: 9780387215648 |
ISBN-13 |
: 0387215646 |
Rating |
: 4/5 (48 Downloads) |
Synopsis An Introduction to the Theory of Point Processes by : D.J. Daley
Point processes and random measures find wide applicability in telecommunications, earthquakes, image analysis, spatial point patterns, and stereology, to name but a few areas. The authors have made a major reshaping of their work in their first edition of 1988 and now present their Introduction to the Theory of Point Processes in two volumes with sub-titles Elementary Theory and Models and General Theory and Structure. Volume One contains the introductory chapters from the first edition, together with an informal treatment of some of the later material intended to make it more accessible to readers primarily interested in models and applications. The main new material in this volume relates to marked point processes and to processes evolving in time, where the conditional intensity methodology provides a basis for model building, inference, and prediction. There are abundant examples whose purpose is both didactic and to illustrate further applications of the ideas and models that are the main substance of the text.