Differential calculus and equations

The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems.

The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections.

This book is divided into two parts, the first of which seeks to connect the phase transitions of various disciplines, including game theory, and to explore the synergies between statistical physics and combinatorics.

The purpose of this book is to introduce and study numerical methods basic and advanced ones for scientific computing.

Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations.

Higher-Order Differential Equations and Elasticity is the third book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set.

Partial differential equations (PDEs) are one of the most used widely forms of mathematics in science and engineering.

There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic.

The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field.

The second edition of this study guide is written and designed for students taking a precalculus course.

More than ten years have passed since the book of F.

Inverse problems of identifying parameters and initial/boundary conditions in deterministic and stochastic partial differential equations constitute a vibrant and emerging research area that has found numerous applications.

Boundary value problems for partial differential equations playa crucial role in many areas of physics and the applied sciences.

The book is devoted to the fundamental relationship between three objects: a stochastic process, stochastic differential equations driven by that process and their associated Fokker-Planck-Kolmogorov equations.

This book provides a comprehensive and systematic approach to the study of the qualitative theory of boundedness, periodicity, and stability of Volterra difference equations.

Real-world issues can be translated into the language and concepts of mathematics with the use of mathematical models.

Through the previous three editions, Handbook of Differential Equations has proven an invaluable reference for anyone working within the field of mathematics, including academics, students, scientists, and professional engineers.

At present, in order to resolve problems of ecology and to save mineral resources for future population generations, it is quite necessary to know how to maintain nature arrangement in an efficient way.

State of the art treatment of the subject with background and references for further reading.

Stability of Differential Equations with Aftereffect presents stability theory for differential equations concentrating on functional differential equations with delay, integro-differential equations, and related topics.

This monograph is a concise introduction to the stochastic calculus of variations (also known as Malliavin calculus) for processes with jumps.

This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L.

This monograph presents a rigorous mathematical framework for a linear elastic model arising from volcanology that explains deformation effects generated by inflating or deflating magma chambers in the Earth's interior.

1.

Over the last twenty years, the growing availability of computing power has had an enormous impact on the classical fields of direct and inverse scattering.

This is a unique book that presents rigorous mathematical results on Fermi-Pasta-Ulam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc.

Preface to the English Edition The present monograph is a revised and enlarged alternative of the author's monograph [19] which was devoted to the development of a unified approach to studying differential inclusions, whose values of the right hand sides are compact, not necessarily convex subsets of a Banach space.

Asymptotic analysis is an old subject that has found applications in vari- ous fields of pure and applied mathematics, physics and engineering.

Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical SystemsA Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations.

Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces.

This monograph presents a technique, developed by the author, to design asymptotically exponentially stabilizing finite-dimensional boundary proportional-type feedback controllers for nonlinear parabolic-type equations.

l\lany systems encountered in practice involve a coupling between contin- uous dynamics and discrete events.

This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory.

Many of problems of the natural sciences lead to nonlinear partial differential equations.

Ergodic theory of dynamical systems i.

This book presents thirteen papers, representing the most significant advances and current trends in nonlinear hyperbolic conservation laws and related analysis with applications.

This book aims to present some recent results on Prandtl equations and MHD boundary layer equations.

This volume is an account of the lectures delivered at the international Conference ``Singularities and Dynamical Systems-83'.

This monograph discusses covariant Schrodinger operators and their heat semigroups on noncompact Riemannian manifolds and aims to fill a gap in the literature, given the fact that the existing literature on Schrodinger operators has mainly focused on scalar Schrodinger operators on Euclidean spaces so far.

Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems.

Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures.

This book provides an introduction to the theory of stochastic partial differential equations (SPDEs) of evolutionary type.

This book develops methods which explore some new interconnections and interrelations between Analysis and Topology and their applications.

This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry.

This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations.

The nonlinear normal modes of a parametrically excited cantilever beam are constructed by directly applying the method of multiple scales to the governing integral-partial differential equation and associated boundary conditions.

This book contains the main results of the talks given at the workshop "e;Recent Advances in PDEs: Analysis, Numerics and Control"e;, which took place in Sevilla (Spain) on January 25-27, 2017.