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Henri Bourlès
System Theory -- A Modern Approach, Volume 1

The theory of dynamic systems is addressed in this book in accordance with the "modern" approach, heir to algebraic analysis, which has been implemented since the last decade of the 20th century. After a…

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Michael E. Taylor
Partial Differential Equations II

This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential opera…

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Maciej Dunajski
Solitons, Instantons, and Twistors

The book provides a self-contained and accessible introduction to integrable systems. It starts with an introduction to integrability of ordinary and partial differential equations, and goes on to explore…

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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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Timo Ströhle
Inversedynamicsofunderactuatedflexiblemechanicalsystemsgovernedbyquasi-linearhyperbolicpartialdifferentialequations

This work is about the inverse dynamics of underactuated flexible mechanical systems governed by quasi-linear hyperbolic partial differential equations subjected to time-varying Dirichlet boundary conditi…

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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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Wolfgang Lay
Higher Special Functions

Higher special functions emerge from boundary eigenvalue problems of Fuchsian differential equations with more than three singularities. This detailed reference provides solutions for singular boundary ei…

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Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems

A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws with source terms. Well known examples are …

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Manuel Kauers
D-Finite Functions

Defined as solutions of linear differential or difference equations with polynomial coefficients, D-finite functions play an important role in various areas of mathematics. This book is a comprehensive in…

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New Trends in the Applications of Differential Equations in Sciences

This book convenes peer-reviewed, selected papers presented at the Tenth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Saints Constantine a…

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