Differential Calculus & Equations

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...