Differential calculus and equations

As a very important part of nonlinear analysis, fixed point theory plays a key role in solvability of many complex systems from mathematics applied to chemical reactors, neutron transport, population biology, infectious diseases, economics, applied mechanics, and more.

The book outlines special approaches using singular and non-singular, multi-domain and meshless BEM formulations, hybrid- and reciprocity-based FEM for the solution of linear and non-linear problems of solid and fluid mechanics and for the acoustic fluid-structure interaction.

The second edition of this classic textbook presents a rigorous and self-contained introduction to real analysis with the goal of providing a solid foundation for future coursework and research in applied mathematics.

This is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measurements.

In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples.

Mathematical models are used to convert real-life problems using mathematical concepts and language.

This book, in honor of Hari M.

This book provides the latest competing research results on non-commutative harmonic analysis on homogeneous spaces with many applications.

The book covers the latest research in the areas of mathematics that deal the properties of partial differential equations and stochastic processes on spaces in connection with the geometry of the underlying space.

Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications.

Establishing a new concept of local Lyapunov exponents the author brings together two separate theories, namely Lyapunov exponents and the theory of large deviations.

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.