Differential calculus and equations

This textbook on periodic character and patterns of recursive sequences focuses on discrete periodic patterns of first order, second order and higher order difference equations.

The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope.

The Abel Symposia volume at hand contains a collection of high-quality articles written by the world's leading experts, and addressing all mathematicians interested in advances in deterministic and stochastic dynamical systems, numerical analysis, and control theory.

This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University.

Several types of differential equations, such as functional differential equation, age-structured models, transport equations, reaction-diffusion equations, and partial differential equations with delay, can be formulated as abstract Cauchy problems with non-dense domain.

This book features papers presented during a special session on dynamical systems, mathematical physics, and partial differential equations.

Based on the third International Conference on Symmetries, Differential Equations and Applications (SDEA-III), this proceedings volume highlights recent important advances and trends in the applications of Lie groups, including a broad area of topics in interdisciplinary studies, ranging from mathematical physics to financial mathematics.

This book develops a spectral theory for the integrable system of 2-dimensional, simply periodic, complex-valued solutions u of the sinh-Gordon equation.

This volume contains extended abstracts outlining selected presentations given by participants of the joint international multidisciplinary workshop MURPHYS-HSFS-2016 (MUltiRate Processes and HYSteresis; Hysteresis and Slow-Fast Systems), which was dedicated to the mathematical theory and applications of multiple scale systems and systems with hysteresis, and held at the Centre de Recerca Matematica (CRM) in Barcelona from June 13th to 17th, 2016.

This book includes the texts of the survey lectures given by plenary speakers at the 11th International ISAAC Congress held in Vaxjo, Sweden, on 14-18 August, 2017.

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

This book treats dynamic stability of structures under nonconservative forces.

This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones.

This work gathers a selection of outstanding papers presented at the 25th Conference on Differential Equations and Applications / 15th Conference on Applied Mathematics, held in Cartagena, Spain, in June 2017.

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 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.

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).

Discover the 50 equations that have led to incredible discoveries, ground-breaking technology and have shaped our understanding of the world.

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.

This book reviews the algebraic prerequisites of calculus, including solving equations, lines, quadratics, functions, logarithms, and trig functions.

This book has a two-fold purpose:An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease.

This is an introduction to methods for solving nonlinear partial differential equations (NLPDEs).

This book gives a necessary and sufficient condition in terms of the scattering amplitude for a scatterer to be spherically symmetric.

Uncertainty is an inseparable component of almost every measurement and occurrence when dealing with real-world problems.

The subject of fractional calculus has gained considerable popularity and importance during the past three decades, mainly due to its validated applications in various fields of science and engineering.