Thema Differentialrechnung und -gleichungen – all Bücher

Elisa Affili, Enrico Valdinoci, Luca Rossi, Serena Dipierro
A New Lotka-Volterra Model of Competition With Strategic Aggression

This monograph introduces a new mathematical model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. Its main feature is the expa…

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Thomas Alazard
Analysis and Partial Differential Equations

This textbook provides a modern introduction to advanced concepts and methods of mathematical analysis. The first three parts of the book cover functional analysis, harmonic analysis, and microlocal anal…

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Sebastian Bechtel
Square Roots of Elliptic Systems in Locally Uniform Domains

This book establishes a comprehensive theory to treat square roots of elliptic systems incorporating mixed boundary conditions under minimal geometric assumptions. To lay the groundwork, the text begins b…

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Aleksei Beltukov
Differential Equations and Data Analysis

This book is focused on modeling with linear differential equations with constant coefficients. The author starts with the elementary natural growth equation and ends with the heat equation on the real li…

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Mouffak Benchohra, Abdelkrim Salim, Jamal Eddine Lazreg, Erdal Karapinar
Advanced Topics in Fractional Differential Equations

This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equa…

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Mikhail Borsuk
Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is con…

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Lúcia Brandão Dias, Hildeberto E. Cabral
Normal Forms and Stability of Hamiltonian Systems

This book introduces the reader to the study of Hamiltonian systems, focusing on the stability of autonomous and periodic systems and expanding to topics that are usually not covered by the canonical lite…

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Emmanuel Chasseigne, Guy Barles
On Modern Approaches of Hamilton-Jacobi Equations and Control Problems with Discontinuities

This monograph presents the most recent developments in the study of Hamilton-Jacobi equations and control problems with discontinuities, mainly from the viewpoint of partial differential equations. Two m…

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Peter J. Costa
Select Ideas in Partial Differential Equations

This book provides a concise but thorough introduction to partial differential equations which model phenomena that vary in both space and time. The author begins with a full explanation of the fundamenta…

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Sanjeev Dhurandhar
Understanding Mathematical Concepts in Physics

Modern mathematics has become an essential part of today s physicist s arsenal and this book covers several relevant such topics. The primary aim of this book is to present key mathematical concepts in an…

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Moritz Egert, Pascal Auscher
Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure

In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-pose…

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Liviu C. Florescu
Selected Topics in Mathematical Analysis

This book presents four topics related to undergraduate courses, typically not covered in standard lectures. Written in a clear and careful style, these four pearls aim at complementing and deepening t…

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Carl L. Gardner
Applied Numerical Methods for Partial Differential Equations

The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers nume…

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Svetlin Georgiev
Boundary Value Problems

This book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting problem on the whole time scale. The author includes an intro…

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Svetlin Georgiev
Boundary Value Problems

This book explores boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impu…

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Ugo Gianazza, Emmanuele Dibenedetto
Partial Differential Equations

This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also…

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Nicola Guglielmi, Punit Sharma, Nicolas Gillis, Bart Vandereycken
Recent Stability Issues for Linear Dynamical Systems

This book concerns matrix nearness problems in the framework of spectral optimization. It addresses some current research directions in spectral-based stability studies for differential equations, with ma…

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Francisco S. Guzmán
Numerical Methods for Initial Value Problems in Physics

This textbook is a comprehensive overview of the construction, implementation, and application of important numerical methods for the solution of Initial Value Problems (IVPs). Beginning with IVPs involvi…

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Hidefumi Katsuura
Introduction to Analysis

This book focuses on the theoretical aspects of calculus. The book begins with a chapter on set theory before thoroughly discussing real numbers, then moves onto sequences, series, and their convergence. …

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Jürgen Koch, Martin Stämpfle
Mathematik für das Ingenieurstudium

Mathematische Grundlagen endlich verständlich Dieses Buch enthält die Grundlagen der Mathematik eines technisch orientierten Studiums in einem Band zusammengefasst. Die Form und der Inhalt sind auf die s…

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