Stability of Dynamical Systems : Continuous, Discontinuous, and Discrete Systems
In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly ...
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Stability of Nonautonomous Differential Equations
Main theme of this volume is the stability of nonautonomous differential equations, with emphasis on the Lyapunov stability ...
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Stochastic Ordinary and Stochastic Partial Differential Equations : Transition from Microscopic to Macroscopic Equations
This book provides the first rigorous derivation of mesoscopic and macroscopic equations from a deterministic system of microscopic ...
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Structured Population Models in Biology and Epidemiology
This book consists of six chapters written by leading researchers in mathematical biology. These chapters present recent ...
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Sturm-Liouville Theory and its Applications
Undergraduate textbooks on Fourier series which follow a pointwise approach to convergence miss the rich geometric content ...
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Symmetries and Overdetermined Systems of Partial Differential Equations
Symmetries in various forms pervade mathematics and physics. Globally, there are the symmetries of a homogenous space induced ...
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The Maximum Principle
Maximum principles are bedrock results in the theory of second order elliptic equations. This principle, simple enough in ...
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The Monodromy Group
In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs ...
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The Monodromy Group
In singularity theory and algebraic geometry, the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs ...
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The Painlevé Handbook
This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task ...
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The Strength of Nonstandard Analysis
This book reflects the progress made in the forty years since the appearance of Robinson’s revolutionary book Nonstandard ...
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Transport Equations and Multi-D Hyperbolic Conservation Laws
The theory of nonlinear hyperbolic equations in several space dimensions has recently obtained remarkable achievements thanks ...
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Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: ...
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Variational Methods in Shape Optimization Problems
The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the ...
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