Differential calculus and equations

This book deals with the study of sequence spaces, matrix transformations, measures of noncompactness and their various applications.

Many of our daily-life problems can be written in the form of an optimization problem.

This book discusses the theory of third-order differential equations.

This book exclusively deals with the study of almost convergence and statistical convergence of double sequences.

This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs).

Festschrift in Honor of Takahiro Kawai

This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions.

This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrodinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are bounded.

This volume presents original papers ranging from an experimental study on cavitation jets to an up-to-date mathematical analysis of the Navier-Stokes equations for free boundary problems, reflecting topics featured at the International Conference on Mathematical Fluid Dynamics, Present and Future, held 11-14 November 2014 at Waseda University in Tokyo.

This volume comprises eight papers delivered at the RIMS International Conference "e;Mathematical Challenges in a New Phase of Materials Science"e;, Kyoto, August 4-8, 2014.

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincare conjecture, the Yau-Tian-Donaldson conjecture, and the Willmore conjecture.

The discovery of a virtual turning point truly is a breakthrough in WKB analysis of higher order differential equations.

This book offers a systematic introduction to the optimal stochastic control theory via the dynamic programming principle, which is a powerful tool to analyze control problems.

Introduction to Special Functions for Applied Mathematics introduces readers to the topic of special functions, with a particular focus on applications.

This reference book describes the exact solutions of the following types of mathematical equations:* Algebraic and Transcendental Equations * Ordinary Differential Equations * Systems of Ordinary Differential Equations * First-Order Partial Differential Equations * Linear Equations and Problems of Mathematical Physics * Nonlinear Equations of Mathematical Physics * Systems of Partial Differential Equations * Integral Equations * Difference and Functional Equations * Ordinary Functional Differential Equations * Partial Functional Differential EquationsThe book delves into equations that find practical applications in a wide array of natural and engineering sciences, including the theory of heat and mass transfer, wave theory, hydrodynamics, gas dynamics, combustion theory, elasticity theory, general mechanics, theoretical physics, nonlinear optics, biology, chemical engineering sciences, ecology, and more.

Die partiellen Differentialgleichungen stehen im Mittelpunkt dieses Bandes.

Die partiellen Differentialgleichungen stehen im Mittelpunkt dieses Bandes.

Dieses seit über 30 Jahren bewährte Standardwerk ist gedacht als Begleittext zur Analysis-Vorlesung des ersten Semesters für Mathematiker, Physiker und Informatiker.

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.

Sehr viele Prozesse in Physik, Chemie, Biologie, Medizin und in den Ingenieur- und Wirtschaftswissenschaften werden durch Differenzialgleichungen beschrieben.

The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature.

The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and refinements.

This volume includes several invited lectures given at the International Workshop "e;Analysis, Partial Differential Equations and Applications"e;, held at the Mathematical Department of Sapienza University of Rome, on the occasion of the 70th birthday of Vladimir G.

This book presents models written as partial differential equations and originating from various questions in population biology, such as physiologically structured equations, adaptive dynamics, and bacterial movement.

Gunter Lumer was an outstanding mathematician whose work has great influence on the research community in mathematical analysis and evolution equations.

Capturing the state of the art of the interplay between partial differential equations, functional analysis, maximal regularity, and probability theory, this volume was initiated at the Delft conference on the occasion of the retirement of Philippe Clement.

This book may be considered as the continuation of the monographs [Tri?

Introduction We have been experiencing since the 1970s a process of "e;symplectization"e; of S- ence especially since it has been realized that symplectic geometry is the natural language of both classical mechanics in its Hamiltonian formulation, and of its re?

This volume is intended to coverthe presentstatus of the mathematicaltools used to deal with problems related to slow rare?

In singularity theory and algebraic geometry the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations.

This monograph is devoted to the development of the theory of pseudo-di?

Differential equations are a fast evolving branch of mathematics and one of the mathematical tools most used by scientists and engineers.

This book is devoted to the qualitative study of solutions of superlinear elliptic and parabolic partial differential equations and systems.

This book contains the lecture series originally delivered at the Advanced Course on Limit Cycles of Differential Equations in the Centre de Rechercha Mathematica Barcelona in 2006.

In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples.