Differential calculus and equations

This official Student Solutions Manual includes solutions to the odd-numbered exercises featured in the third edition of Steven Strogatz's classic text Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering.

This volume is designed as an introduction to the concepts of modern numerical analysis as they apply to partial differential equations.

Many problems arising in the physical sciences, engineering, biology and ap- plied mathematics lead to mathematical models described by nonlinear integral equations in abstract spaces.

These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space.

Updates in this second edition include two brand new chapters and an even more comprehensive bibliography.

For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines.

This book presents novel results by participants of the conference "e;Control theory of infinite-dimensional systems"e; that took place in January 2018 at the FernUniversitat in Hagen.

This 2007 book discusses the design of reliable numerical methods to retrieve missing information in models of complex systems.

Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods.

This unique book on ordinary differential equations addresses practical issues of composing and solving differential equations by demonstrating the detailed solutions of more than 1,000 examples.

This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields.

This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains.

To our wives, Masha and Marian Interest in the so-called completely integrable systems with infinite num- ber of degrees of freedom was aroused immediately after publication of the famous series of papers by Gardner, Greene, Kruskal, Miura, and Zabusky [75, 77, 96, 18, 66, 19J (see also [76]) on striking properties of the Korteweg-de Vries (KdV) equation.

The book presents important tools and techniques for treating problems in m- ern multivariate statistics in a systematic way.

This book highlights several methods and quantitative implementations of both probabilistic and fuzzy-based approaches to uncertainty quantification and uncertainty propagation through environmental subsurface pollution models with uncertain input parameters.

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities presents a series of control and filtering approaches for stochastic systems with traditional and emerging engineering-oriented complexities.

The theory of holomorphic functions of several complex variables emerged from the attempt to generalize the theory in one variable to the multidimensional situation.

The purpose of this book is to provide a careful and accessible account along modern lines of the subject wh ich the title deals, as weIl as to discuss prob- lems of current interest in the field.

The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books.

Offers Both Standard and Novel Approaches for the Modeling of SystemsExamines the Interesting Behavior of Particular Classes of ModelsChaotic Modelling and Simulation: Analysis of Chaotic Models, Attractors and Forms presents the main models developed by pioneers of chaos theory, along with new extensions and variations of these models.

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Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems.

The present book develops the mathematical and numerical analysis of linear, elliptic and parabolic partial differential equations (PDEs) with coefficients whose logarithms are modelled as Gaussian random fields (GRFs), in polygonal and polyhedral physical domains.

This book is designed for a systematic understanding of nuclear diffusion theory along with fuzzy/interval/stochastic uncertainty.

This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009.

Inequalities arise as an essential component in various mathematical areas.

This book aims to establish a foundation for fractional derivatives and fractional differential equations.

Differential equations play a vital role in the fields of engineering and science.

Driven by the advancement of industrial mathematics and the need for impact case studies, Inverse Problems with Applications in Science and Engineering thoroughly examines the state-of-the-art of some representative classes of inverse and ill-posed problems for partial differential equations (PDEs).

This book summarizes, defines, and contextualizes multiphysics with an emphasis on porous materials.

The present volume develops the theory of integration in Banach spaces, martingales and UMD spaces, and culminates in a treatment of the Hilbert transform, Littlewood-Paley theory and the vector-valued Mihlin multiplier theorem.

In the case of completely integrable systems, periodic solutions are found by inspection.

This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily.

This volume contains extended abstracts outlining selected talks and other selected presentations given by participants throughout the "e;Intensive Research Program on Advances in Nonsmooth Dynamics 2016"e;, held at the Centre de Recerca Matematica (CRM) in Barcelona from February 1st to April 29th, 2016.

This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc.

Nonlinear Partial Differential Equations

The study of nonlinear dynamical systems has been gathering momentum since the late 1950s.

"e;Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M.

tion of fields as a product of coordinate-dependent and time-dependent factors.

The "e;Hyperboloidal Foliation Method"e; introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces.

Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field.

This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques.

This book surveys recent developments in numerical techniques for global atmospheric models.

A self-contained introduction to the methods and techniques of symmetry analysis used to solve ODEs and PDEsSymmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs).

This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development.

Providing a basic tool for studying nonlinear problems, Spectral Theory for Random and Nonautonomous Parabolic Equations and Applications focuses on the principal spectral theory for general time-dependent and random parabolic equations and systems.