Differential calculus and equations

Sparse grids are a popular tool for the numerical treatment of high-dimensional problems.

This monograph presents the geoscientific context arising in decorrelative geomagnetic exploration.

This book offers the first systematic account of canard cycles, an intriguing phenomenon in the study of ordinary differential equations.

This monograph explores the motion of incompressible fluids by presenting and incorporating various boundary conditions possible for real phenomena.

This volume features recent development and techniques in evolution equations by renown experts in the field.

The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology.

This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities.

This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations.

This book provides a systematic and thorough overview of the classical bending members based on the theory for thin beams (shear-rigid) according to Euler-Bernoulli, and the theories for thick beams (shear-flexible) according to Timoshenko and Levinson.

This book presents the optimal auxiliary functions method and applies it to various engineering problems and in particular in boundary layer problems.

This textbook introduces some basic tools from the theory of monotone operators together with some of their applications.

This monograph develops an innovative approach that utilizes the Birman-Schwinger principle from quantum mechanics to investigate stability properties of steady state solutions in galactic dynamics.

This book investigates the close relation between quite sophisticated function spaces, the regularity of solutions of partial differential equations (PDEs) in these spaces and the link with the numerical solution of such PDEs.

This book presents the foundation of the theory of almost automorphic functions in abstract spaces and the theory of almost periodic functions in locally and non-locally convex spaces and their applications in differential equations.

This book collects the abstracts of  the mini-courses and lectures given during the Intensive Research Program "e;Spaces of Analytic Functions: Approximation, Interpolation, Sampling"e; which was held at the Centre de Recerca Matematica (Barcelona) in October-December, 2019.

This book discusses the mathematical simulation of biological systems, with a focus on the modeling of gene expression, gene regulatory networks and stem cell regeneration.

This book gathers selected, peer-reviewed contributions presented at the Fifth International Conference on Numerical Analysis and Optimization (NAO-V), which was held at Sultan Qaboos University, Oman, on January 6-9, 2020.

This book studies solutions of the Polubarinova-Galin and Lowner-Kufarev equations, which describe the evolution of a viscous fluid (Hele-Shaw) blob, after the time when these solutions have lost their physical meaning due to loss of univalence of the mapping function involved.

This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900.

This mathematical monograph details the authors' results on solutions to problems governing the simultaneous motion of two incompressible fluids.

The aim of this book is to furnish the reader with a rigorous and detailed exposition of the concept of control parametrization and time scaling transformation.

Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties.

This book provides an extensive survey on Lyapunov-type inequalities.

This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics.

This book is devoted to computing the index of elliptic PDEs on non-compact Riemannian manifolds in the presence of local singularities and zeros, as well as polynomial growth at infinity.

This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function).

This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics.

This book considers dynamic boundary value problems in domains with singularities of two types.

This book focuses on a large class of multi-valued variational differential inequalities and inclusions of stationary and evolutionary types with constraints reflected by subdifferentials of convex functionals.

This study guide is designed for students taking courses in calculus.

This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence.

This book covers controller tuning techniques from conventional to new optimization methods for diverse control engineering applications.

This volume presents lectures given at the Wisla 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisla, Poland, and was organized by the Baltic Institute of Mathematics.

This monograph explores the concept of the Brouwer degree and its continuing impact on the development of important areas of nonlinear analysis.

This book contains some contributions presented at the Applied Mathematics for Environmental Problems minisymposium during the International Congress on Industrial and Applied Mathematics (ICIAM) held July 15-19, 2019 in Valencia, Spain.

This book comprises selected papers of the 25th International Conference on Difference Equations and Applications, ICDEA 2019, held at UCL, London, UK, in June 2019.

This contributed volume focuses on various important areas of mathematics in which approximation methods play an essential role.

Considering that the motion of strings with finitely many masses on them is described by difference equations, this book presents the spectral theory of such problems on finite graphs of strings.

This monograph presents recent results concerning nonlinear fractional elliptic problems in the whole space.

This book presents a concise, clear, and consistent account of the methodology of phase synchronization, an extension of modal analysis to decouple any linear system in real space.

This volume provides an introduction to the theory of Mean Field Games, suggested by J.

This monograph introduces breakthrough control algorithms for partial differential equation models with moving boundaries, the study of which is known as the Stefan problem.

This book paints a fresco of the field of extrapolation and rational approximation over the last several centuries to the present through the works of their primary contributors.

This textbook is devoted to second order linear partial differential equations.

This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24-28, 2019.

These are the proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in St.

These proceedings are based on the international conference Approximation Theory XVI held on May 19-22, 2019 in Nashville, Tennessee.

This book presents peer-reviewed papers from the 4th International Conference on Applications of Mathematics and Informatics in Natural Sciences and Engineering (AMINSE2019), held in Tbilisi, Georgia, in September 2019.

This book is the first volume of a three-part textbook suitable for graduate coursework, professional engineering and academic research.

This edited volume gathers selected, peer-reviewed contributions presented at the fourth International Conference on Differential & Difference Equations Applications (ICDDEA), which was held in Lisbon, Portugal, in July 2019.