Differential Calculus & Equations

This graduate text presents the elegant and profound theory of continuous parameter Markov processes and many of its applications.  The authors foc...

This book focuses on the theoretical aspects of calculus. The book begins with a chapter on set theory before thoroughly discussing real numbers, t...

The book collects chapters on operator theory as well as related approximation results and analytic inequalities. It discusses the properties of va...

There is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of science. The results have been tru...

This book presents recent research results from a selection of the talks presented in the international symposium New Trends in Approximation and A...

The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations. The main objective is to model and derive of ...

This text lays the foundation for understanding the beauty and power of discrete-time models. It covers rich mathematical modeling landscapes, each...

This comprehensive volume presents essential mathematical results devoted to topics of mathematical analysis, differential equations and their vari...

This monograph is a testament to the potency of the method of singular integrals of layer potential type in solving boundary value problems for wea...

This open access book is an introductory text on the theory of nonlinear acoustics authored by experts on their respective topics. It is written at...

The main subject of our book is to use the (p, p(x) and p(x))-bi-Laplacian operator in some partial differential systems, where we developed and ob...

This book aims to present some recent results on Prandtl equations and MHD boundary layer equations. This book is essentially divided into two par...

This book is a monograph about limit cycles and homoclinic networks in polynomial systems. The study of dynamical behaviors of polynomial dynamical...

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularitie...

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

This open access book focuses on the Ginibre ensembles that are non-Hermitian random matrices proposed by Ginibre in 1965. Since that time, they ha...

This is the second edition of an influential monograph on logarithmic potentials with external fields, incorporating some of the numerous advanceme...

This textbook is an elementary introduction to the basic principles of partial differential equations. With many illustrationsitintroduces PDEs on ...

This is the second volume of Nonlinear Equations with Small Parameter containing new methods of construction of global asymptotics of solutions to ...

This book is a holistic and self-contained treatment of the analysis and numerics of random differential equations from a problem-centred point of ...

In the past three decades, studies on the Painleve equations have rapidly developed through the efforts of many researchers in various fields. The ...

This book deals with the general topic Numerical solution of partial differential equations (PDEs) with a focus on adaptivity of discretizations in...

The book concerns with solving about 650 ordinary and partial differential equations. Each equation has at least one solution and each solution has...

Fractional evolution equations describe various complex and nonlocal systems with memory. This volume investigates fractional evolution equations, ...

This book presents a projector analysis of dynamic systems on time scales. The dynamic systems are classified as first, second, third and fourth ki...

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

Numerische Mathematik, aufgeteilt in zwei Bände, ist eine Einführung in die Numerische Mathematik anhand von Differentialgleichungsproblemen. Gegli...

This volume presents a timely overview of control theory and related topics, such as the reconstruction problem, the stability of PDEs, and the Cal...

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 ...

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particul...

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particul...

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particul...

These two volumes present the collected works of James Serrin. He has done seminal work on a number of the basic tools needed for the study of solu...

This book introduces to 1-dimensional flow arrays and bifurcations in planar polynomial systems. The 1-dimensional source, sink and saddle flows ar...

This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up pat...

For one-semeseter sophomore- or junior-level courses in Differential Equations. Fundamentals of Differential Equations presents the basic theory of...

Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differ...

For one-semeseter sophomore- or junior-level courses in Differential Equations. Fundamentals of Differential Equations presents the basic theory of...

DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 8E, INTERNATIONAL METRIC EDITION strikes a balance between the analytical, qualitative, and qu...

This book is focused on modeling with linear differential equations with constant coefficients.  The author starts with the elementary natural grow...

This book aims to provide with some approaches for lessening the unknowns of the FE methods of unsteady PDEs. It provides a very detailed theoretic...

For any manifold Np admitting an Einstein metric with positive Einstein constant, we study the behavior of the Ricci flow on high-dimensional produ...

We consider the gravity water waves system with a periodic one-dimensional interface in infinite depth and we establish the existence and the linea...