Category: Differential Equations

By Qing Han

ISBN-10: 0821852558

ISBN-13: 9780821852552

This can be a textbook for an introductory graduate path on partial differential equations. Han makes a speciality of linear equations of first and moment order. a huge function of his therapy is that most of the thoughts are acceptable extra often. particularly, Han emphasizes a priori estimates during the textual content, even for these equations that may be solved explicitly. Such estimates are necessary instruments for proving the lifestyles and area of expertise of options to PDEs, being particularly vital for nonlinear equations. The estimates also are the most important to developing homes of the options, akin to the continual dependence on parameters.

Han's booklet is appropriate for college kids attracted to the mathematical conception of partial differential equations, both as an summary of the topic or as an creation resulting in additional study.

Readership: complicated undergraduate and graduate scholars drawn to PDEs.

By Lars Grüne, Oliver Junge

ISBN-10: 3658102403

ISBN-13: 9783658102401

Das Buch bietet eine kompakte, grundlegende Einführung in die Theorie gewöhnlicher Differentialgleichungen aus der Perspektive der dynamischen Systeme im Umfang einer einsemestrigen Vorlesung. Über die Diskussion der Lösungstheorie und der Theorie linearer Systeme hinaus werden insbesondere einfache analytische und numerische Lösungsverfahren, Konzepte der Theorie dynamischer Systeme, Stabilität, Verzweigungen und Hamilton-Systeme behandelt. Der Stoff wird durchgängig anhand von Beispielen, Fragen, Übungsaufgaben und Computerexperimenten illustriert und vertieft.

Das Buch ist besonders für das Bachelor-Studium intestine geeignet, sowohl vorlesungsbegleitend zum Modul "Gewöhnliche Differentialgleichungen" als auch zum Selbststudium. Es werden nur die Grundvorlesungen in research und Linearer Algebra vorausgesetzt.

By Fred Brauer, John A. Nohel

ISBN-10: 0486658465

ISBN-13: 9780486658469

Extraordinary, self-contained graduate-level textual content covers regular theorems relating linear platforms, lifestyles and specialty of strategies, and dependence on parameters. significant concentrate on balance conception and its functions to oscillation phenomena, self-excited oscillations and regulator challenge of Lurie. Bibliography. workouts.

By James S. Walker

ISBN-10: 0849382769

ISBN-13: 9780849382765

The quick development of wavelet applications-speech compression and research, photograph compression and enhancement, and removal noise from audio and images-has created an explosion of job in making a conception of wavelet research and utilizing it to a large choice of medical and engineering difficulties. It turns into very important, then, that engineers and scientists have a operating knowing of wavelets. beforehand, even though, the research of wavelets has been past the mathematical take hold of of many that want this realizing. such a lot remedies of the topic contain principles from practical research, harmonic research, and different tough mathematical recommendations. Wavelets and their medical purposes deals an creation to wavelet research with out mathematical rigor, requiring in simple terms algebra and a few very easy calculus. the writer stresses purposes, and explains, utilizing easy algebra, how wavelet tools tend to be utilized in studying electronic information. software program is obtainable for obtain via CRC's web site that may allow recording, enjoying, and enhancing sound documents, and contains a facility for exhibiting, printing and editing IEEE grey box photos. in contrast to different software program programs for wavelet research, the writer constructed this beautiful, easy-to-use software program with out the necessity for a C++ compiler or MATLAB?. during the publication the writer presents various feedback for machine experiments designed to problem and increase the reader's comprehension and supply perform in utilising the options discovered. Wavelets and their clinical purposes hence presents the right automobile for realizing wavelets and their makes use of. It presents a fast-track studying chance for scientists and mathematicians strange with wavelet suggestions and functions, and it's perfect for someone with out an in depth mathematical historical past.

By Boyce W.E., DiPrima R.C.

ISBN-10: 0471433381

ISBN-13: 9780471433385

This revision of the market-leading e-book keeps its vintage strengths: modern technique, versatile bankruptcy development, transparent exposition, and extraordinary difficulties. Like its predecessors, this revision is written from the point of view of the utilized mathematician, focusing either at the idea and the sensible purposes of Differential Equations as they follow to engineering and the sciences. Sound and actual Exposition of Theory--special awareness is made to equipment of resolution, research, and approximation. Use of expertise, illustrations, and challenge units support readers boost an intuitive realizing of the fabric. old footnotes hint improvement of the self-discipline and establish striking person contributions.

By Bradley L.

By Grimshaw R.

ISBN-10: 0632027088

ISBN-13: 9780632027088

ISBN-10: 0632027096

ISBN-13: 9780632027095

This article has been specially written for complicated undergraduate scholars in arithmetic, utilized arithmetic, engineering and, to a lesser quantity, chemistry and physics. In writing the textual content, the writer recognises and makes an attempt to bridge the space which exists among common simple classes on differential equations and complex graduate classes on dynamical platforms and chaotic movement. The textual content is worried wih nonlinear differential equations and using perturbation how to demonstrate the sophisticated results that even small nonlinear phrases can produce. The emphasis of the textual content is on balance, nonlinearity and perturbation tools

By Isao Miyadera

ISBN-10: 0821845659

ISBN-13: 9780821845653

This ebook provides a scientific exposition of the final thought of nonlinear contraction semigroups in Banach areas and is aimed toward scholars and researchers in technology and engineering in addition to in arithmetic. compatible to be used as a textbook in graduate classes and seminars, this self-contained publication is on the market to these with just a uncomplicated wisdom of sensible research. After necessities awarded within the first bankruptcy, Miyadera covers the elemental houses of dissipative operators and nonlinear contraction semigroups in Banach areas. The new release of nonlinear contraction semigroups, the Komura theorem, and the Crandall-Liggett theorem are explored, and there's a remedy of the convergence of distinction approximations of Cauchy difficulties for $\omega$-dissipative operators and the Kobayashi iteration theorem of nonlinear semigroups. Nonlinear Semigroups concludes with purposes to nonlinear evolution equations and to first-order quasilinear equations.

By Richard Bronson

ISBN-10: 0071456872

ISBN-13: 9780071456876

ISBN-10: 0071491104

ISBN-13: 9780071491105

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By Zhang Zhi-fen, Ding Tong-ren, Huang Wen-zao, Dong Zhen-xi

ISBN-10: 0821841831

ISBN-13: 9780821841839

This ebook presents an creation to and a entire research of the qualitative conception of normal differential equations. It starts with basic theorems on life, distinctiveness, and preliminary stipulations, and discusses uncomplicated ideas in dynamical structures and Poincaré-Bendixson thought. The authors current a cautious research of ideas close to severe issues of linear and nonlinear planar structures and talk about indices of planar serious issues. a really thorough research of restrict cycles is given, together with many effects on quadratic platforms and up to date advancements in China. different themes incorporated are: the severe aspect at infinity, harmonic options for periodic differential equations, platforms of normal differential equations at the torus, and structural balance for structures on two-dimensional manifolds.

This books is obtainable to graduate scholars and complicated undergraduates and is usually of curiosity to researchers during this sector. workouts are integrated on the finish of every chapter.

Readership: Graduate scholars and learn mathematicians attracted to differential equations.