Differential calculus and equations

This monograph develops an operator viewpoint for functional equations in classical function spaces of analysis, thus filling a void in the mathematical literature.

Singular perturbations occur when a small coefficient affects the highest order derivatives in a system of partial differential equations.

The authors introduce geomathematics as an active research area to a wider audience.

Adaptive Control of Linear Hyperbolic PDEs provides a comprehensive treatment of adaptive control of linear hyperbolic systems, using the backstepping method.

The motion of water is governed by a set of mathematical equations which are extremely complicated and intractable.

This contributed book has a comprehensive collection of 17 carefully curated chapters that delve into the latest advancements in fixed-point theory and its diverse applications.

Linear Partial Differential and Difference Equations and Simultaneous Systems: With Constant or Homogeneous Coefficients is part of the series "e;Mathematics and Physics for Science and Technology,"e; which combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results.

This book introduces a semi- analytical method, Improved Residual Power Series Method (IRPSM), for solving boundary value problems (BVPs).

This textbook provides the first systematic presentation of the theory of stochastic differential equations with Markovian switching.

The book gives the practical means of finding asymptotic solutions to differential equations, and relates WKB methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to one another.

This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford College, London, and King's College, London, as part of the BSc.

Partial differential equations form an essential part of the core mathematics syllabus for undergraduate scientists and engineers.

This book contains the first systematic exposition of the global and local theory of dynamics equivariant with respect to a (compact) Lie group.

This book presents a wide panorama of methods to investigate the spectral properties of block operator matrices.

The boundary element method (BEM), also known as the boundary integral equation method (BIEM), is a modern numerical technique which has enjoyed increasing popularity over the past two decades.

Over the last decade, there has been considerable interest and progress in determining the spectral properties of various operators that take relativistic effects into account, with important implications for mathematics and physics.

In the five previous editions of Advanced Engineering Mathematics with MATLAB(R), the author presented a text firmly grounded in mathematics that engineers and scientists must understand and know how to use.

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications-CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojsa Stevanovic (1962-2009).

The book concerns with solving about 650 ordinary and partial differential equations.

This book gathers invited, peer-reviewed works presented at the 2021 edition of the Classical and Constructive Nonassociative Algebraic Structures: Foundations and Applications-CaCNAS: FA 2021, virtually held from June 30 to July 2, 2021, in dedication to the memory of Professor Nebojsa Stevanovic (1962-2009).

This book leads readers from a basic foundation to an advanced level understanding of dynamical and complex systems.

Much progress has been made in recent years on the issue of asymptotic behavior of problems set in cylinders.

After recalling essentials of analysis - including functional analysis, convexity, distribution theory and interpolation theory - this book handles two topics in detail: Fourier analysis, with emphasis on positivity and also on some function spaces and multiplier theorems; and one-parameter operator semigroups with emphasis on Feller semigroups and Lp-sub-Markovian semigroups.

In this volume two topics are discussed: the construction of Feller and Lp-sub-Markovian semigroups by starting with a pseudo-differential operator, and the potential theory of these semigroups and their generators.

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.

Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems.

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.

Differential equations require a good understanding of derivatives so you can understand how they work.

Stable solutions are ubiquitous in differential equations.

This book includes plenty of theorems which are considered to be useful supplement to all standard course-materials.

Penned with utmost care for the undergraduate students of Mathematics of all major universities, this book can be treated as a remarkable combination of erudite scholarship and educational utility.

A differential equations study guide contains all of the formulas students taking calculus or a differential equations class would need to complete specific problems, so students in these classes can use it as a reference when completing homework or studying for an exam.

Several important problems arising in Physics, Differential Geometry and other topics lead to consider semilinear variational equations of strongly indefinite type and a great deal of work has been devoted to their study.

The first two editions of An Introduction to Partial Differential Equations with MATLAB(R) gained popularity among instructors and students at various universities throughout the world.

This book presents a projector analysis of dynamic systems on time scales.

This book provides systematic guidance and theoretical basis for control theories and applications of fractional-order control systems.

This volume explores the application of topological techniques in the study of delay and ordinary differential equations with a particular focus on continuum mechanics.

In the first edition of his seminal introduction to wavelets, James S.

Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales.

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.

Despite the fact that Sophus Lie's theory was virtually the only systematic method for solving nonlinear ordinary differential equations (ODEs), it was rarely used for practical problems because of the massive amount of calculations involved.

Extending and generalizing the results of rational equations,Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their p

Until now, no book has systematically presented the recently developed concept of envelopes in function spaces.

This textbook provides a broad introduction to continuous and discrete dynamical systems.

Diffusion is a principle transport mechanism emerging widely at different scale, from nano to micro and macro levels.

This compilation introduces and studies the class of (asymptotically) Stepanov almost automorphic functions with variable exponents, presenting a few relevant applications of abstract Volterra.

Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics.

Non-Newtonian Sequence Spaces with Applications presents an alternative to the usual calculus based on multiplication instead of addition.

Grade 9 was the most boring year of my life.

Since publication of the first edition over a decade ago, Green's Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Green's function.