Differential calculus and equations

This proceedings book gathers papers presented at the First International Itinerant Congress on Applied Mathematics (IICAM 2025), held at the Faculty of Sciences and Techniques of Errachidia, Morocco, from October 23 to 25, 2025.

This proceedings book gathers papers presented at the First International Itinerant Congress on Applied Mathematics (IICAM 2025), held at the Faculty of Sciences and Techniques of Errachidia, Morocco, from October 23 to 25, 2025.

This volume is a collection of selected peer-reviewed scientific results presented at the conference "e;Modern Methods in Mathematical Physics and their Applications"e; held in Uzbekistan from April 22 to 24, 2025.

This book presents the latest developments and progress in the numerical study of the stochastic functional differential equation, with a particular emphasis on the longtime asymptotics and probabilistic characteristics of numerical methods used to solve such equation.

This book presents the latest developments and progress in the numerical study of the stochastic functional differential equation, with a particular emphasis on the longtime asymptotics and probabilistic characteristics of numerical methods used to solve such equation.

This monograph presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations, including curvature flow equations.

This monograph presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations, including curvature flow equations.

This book explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stochastics and their role in mathematical analysis and numerical simulation of different types of flows.

This book explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stochastics and their role in mathematical analysis and numerical simulation of different types of flows.

The current volume collects selected contributions from the ISAAC–ICMAM Conference of Analysis in Developing Countries 2024, organised jointly by the International Society for Analysis, its Applications and Computation (ISAAC) and the International Community of Mathematicians from Latin America (ICMAM Latin America).

The current volume collects selected contributions from the ISAAC–ICMAM Conference of Analysis in Developing Countries 2024, organised jointly by the International Society for Analysis, its Applications and Computation (ISAAC) and the International Community of Mathematicians from Latin America (ICMAM Latin America).

This book presents a new Lefschetz trace formula for a foliated flow on a compact foliated manifold with a foliation of codimension one.

This book presents a new Lefschetz trace formula for a foliated flow on a compact foliated manifold with a foliation of codimension one.

The aim of this third edition is to give an accessible and essentially self-contained account of pseudo-differential operators based on the previous edition.

This book presents advanced methods of integral calculus and the classical theory of the ordinary and partial differential equations.

This book presents advanced methods of integral calculus and the classical theory of the ordinary and partial differential equations.

The aim of this third edition is to give an accessible and essentially self-contained account of pseudo-differential operators based on the previous edition.

This monograph provides a rigorous analysis of a wide range of stationary (steady state) boundary value problems for elliptic systems of Stokes and Navier-Stokes type, as encountered in fluid dynamics.

This book develops the properties of monotone rearrangement and relative rearrangement (sometimes called pseudo-rearrangement).

This book develops the properties of monotone rearrangement and relative rearrangement (sometimes called pseudo-rearrangement).

This monograph provides a rigorous analysis of a wide range of stationary (steady state) boundary value problems for elliptic systems of Stokes and Navier-Stokes type, as encountered in fluid dynamics.

This book presents many of the main developments of the past two decades in the study of real submanifolds in complex space, providing crucial background material for researchers and advanced graduate students.

Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited.

An essential companion to M.

A classic treatment of partial differential equations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

Classic contributions to the theory of nonlinear oscillations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions between them.

This book introduces new methods in the theory of partial differential equations derivable from a Lagrangian.

Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978.

This book discusses some aspects of the theory of partial differential equations from the viewpoint of probability theory.

Classic contributions to the theory of nonlinear oscillations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

Here Michael Taylor develops pseudodifferential operators as a tool for treating problems in linear partial differential equations, including existence, uniqueness, and estimates of smoothness, as well as other qualitative properties.

A classic treatment of degrees of unsolvability from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

A classic treatment of existence theorems in partial differential equations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

Solomon Lefschetz's classic lectures on differential equations from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

When John Nash won the Nobel prize in economics in 1994, many people were surprised to learn that he was alive and well.

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This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrodinger operators and the theory of quasi-periodicity in Hamiltonian evolution equations.

Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place.

This book introduces a comprehensive methodology for adaptive control design of parabolic partial differential equations with unknown functional parameters, including reaction-convection-diffusion systems ubiquitous in chemical, thermal, biomedical, aerospace, and energy systems.

This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis.

Stability and Stabilization is the first intermediate-level textbook that covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations.

The subject of sparse matrices has its root in such diverse fields as management science, power systems analysis, surveying, circuit theory, and structural analysis.

Motivated by the theory of turbulence in fluids, the physicist and chemist Lars Onsager conjectured in 1949 that weak solutions to the incompressible Euler equations might fail to conserve energy if their spatial regularity was below 1/3-Holder.

This book offers a survey of recent developments in the analysis of shock reflection-diffraction, a detailed presentation of original mathematical proofs of von Neumann's conjectures for potential flow, and a collection of related results and new techniques in the analysis of partial differential equations (PDEs), as well as a set of fundamental open problems for further development.

Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view.

An essential introduction to the analysis and verification of control system softwareThe verification of control system software is critical to a host of technologies and industries, from aeronautics and medical technology to the cars we drive.

A brand-new conceptual look at dynamical thermodynamics This book merges the two universalisms of thermodynamics and dynamical systems theory in a single compendium, with the latter providing an ideal language for the former, to develop a new and unique framework for dynamical thermodynamics.

This book describes the latest advances in the theory of mean field games, which are optimal control problems with a continuum of players, each of them interacting with the whole statistical distribution of a population.

For several centuries, analysis has been one of the most prestigious and important subjects in mathematics.