Differential calculus and equations

Intended for researchers, numerical analysts, and graduate students in various fields of applied mathematics, physics, mechanics, and engineering sciences, Applications of Lie Groups to Difference Equations is the first book to provide a systematic construction of invariant difference schemes for nonlinear differential equations.

Maximally subelliptic partial differential equations (PDEs) are a far-reaching generalization of elliptic PDEs.

Working with mathematical models today requires in-depth knowledge of recent methods developed for solving nonlinear differential equations.

Keine ausführliche Beschreibung für "Gewöhnliche Differentialgleichungen mit zufälligen Parametern" verfügbar.

This book derives new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain.

The book is focused on physical interpretation and visualization of the obtained invariant solutions for nonlinear mathematical modeling of atmospheric and ocean waves.

This proceedings volume gathers selected, peer-reviewed papers presented at the Dynamical Systems Theory and Applications International Conference - DSTA 2021, held virtually on December 6-9, 2021, organized by the Department of Automation, Biomechanics, and Mechatronics at Lodz University of Technology, Poland.

This book is a concise introduction to the stochastic calculus of variations for processes with jumps.

This is an indispensable reference for those mathematicians that conduct research activity in applications of fixed-point theory to boundary value problems for nonlinear difference equations.

Fractional calculus has emerged as a powerful and effective mathematical tool in the study of several phenomena in science and engineering.

This volume deals with first and second order complex equations of hyperbolic and mixed types.

The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems.

Introductory Differential Equations, Fourth Edition, offers both narrative explanations and robust sample problems for a first semester course in introductory ordinary differential equations (including Laplace transforms) and a second course in Fourier series and boundary value problems.

Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc.

In this book, ring-theoretical properties of skew Laurent series rings A((x; f)) over a ring A, where A is an associative ring with non-zero identity element are described.

This book is devoted to the study of boundary value problems for nonlinear ordinary differential equations and focuses on questions related to the study of nonlinear interpolation.

This text presents numerical differential equations to graduate (doctoral) students.

This book is devoted to the study of elliptic second-order degenerate quasilinear equations, the model of which is the p-Laplacian, with or without dominant lower order reaction term.

Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations.

This book aims to introduce some new trends and results on the study of the fractional differential equations, and to provide a good understanding of this field to beginners who are interested in this field, which is the authors' beautiful hope.

Using Cartan's differential 1-forms theory, and assuming that the motion variables depend on Euclidean invariants, certain dynamics of the material point and systems of material points are developed.

This reference book presents unique and traditional analytic calculations, and features more than a hundred universal formulas where one can calculate by hand enormous numbers of definite integrals, fractional derivatives and inverse operators.

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

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations.

This is the first textbook-type presentation of tropical value distribution theory.

This unique book on ordinary differential equations addresses practical issues of composing and solving such equations by large number of examples and homework problems with solutions.

This book presents methods for the computational solution of differential equations, both ordinary and partial, time-dependent and steady-state.

Since the first edition of this book the literature on fitted mesh methods for singularly perturbed problems has expanded significantly.

This volume is on initial-boundary value problems for parabolic partial differential equations of second order.

The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis.

Nowadays, some knowledge of wavelets is almost mandatory for mathematicians, physicists and electrical engineers.

This invaluable book is devoted to a rapidly developing area on the research of the qualitative theory of fractional differential equations.

This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime.

This volume contains the proceedings of a satellite conference of the 1990 International Congress of Mathematicians.

This book is a revised version of the author's lecture notes in a graduate course of applied mathematics.

This volume adopts a wide and fresh approach to discuss some problems on the theory of dynamical systems in applied sciences.

Articles in this collection discuss basic concepts and modern developments in the field.

This is a collection of lectures by leading research mathematicians on the very latest work on qualitative theory of solutions of dynamical systems, ordinary differential equations, delay-differential equations, Volterra integrodifferential equations and partial differential equations.

This book is devoted to the numerical computation of linear and nonlinear differential equations, and their mathematical theory and applications.

Equadiff-91 stems from the series of conferences initiated by the late Professor Vogel.

The contents of this volume consist of 15 lectures on mathematics and its applications which include the following topics: dynamics of neural network, phase transition of cellular automata, homoclinic bifurcations, ergodic theories of low dimensional dynamical systems, Anosov endomorphisms and Anosov flows, axiom A systems, complex dynamical systems, multi-dimensional holomorphic dynamical systems and holomorphic vector fields.