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Differential Equations Driven by Rough Paths

Theory. The goal of these notes, representing a course given by Terry Lyons in 2004, is to provide a straightforward and self supporting but;

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Multidimensional Stochastic Processes As Rough Paths

Rough path analysis provides a fresh perspective on Ito's important theory of stochastic differential equations. Key theorems of modern;

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A Course on Rough Paths: With an Introduction to Regularity Structures

rough path analysis and regularity structures, theories that have yielded many new insights into the analysis of stochastic differential;

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New Trends In Stochastic Analysis And Related Topics

, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic;

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Stochastic Analysis

stochastic differential equations driven by Brownian motions. In the final chapter, applications to mathematical finance are given. The preliminary;

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Stochastic Analysis

stochastic differential equations driven by Brownian motions. In the final chapter, applications to mathematical finance are given. The preliminary;

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Introduction To Ordinary Differential Equations

applications of differential equations has resulted in a continued interest in their study by students in many disciplines. This textbook organizes;

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Applied Stochastic Differential Equations

Stochastic differential equations are differential equations whose solutions are stochastic processes. They exhibit appealing mathematical;

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Qualitative Analysis of Set-Valued Differential Equations

The book discusses set-valued differential equations defined in terms of the Hukuhara derivative. Focusing on equations with uncertainty;

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Stochastic Partial Differential Equations

been a surge of interest in stochastic partial differential equations (PDEs) driven by the Levy type of noise. Stochastic Partial Differential;

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Fractional Differential Equations

This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It;

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Modeling By Nonlinear Differential Equations

This book aims to provide mathematical analyses of nonlinear differential equations, which have proved pivotal to understanding many;

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Beyond The Triangle

The book is devoted to the fundamental relationship between three objects: a stochastic process, stochastic differential equations driven;

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Evolution Equations

paths distribution; a theorem on the optical cubic-quintic Schrodinger equation; methods for solving non-linear partial differential equations;

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Stochastic Partial Differential Equations and Applications

Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento;

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Stochastic Partial Differential Equations and Applications

Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento;

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Stochastic Processes

and stochastic differential equations (additive functionals of Brownian paths and stochastic differential equations with reflecting boundaries;

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Lectures on the Analysis of Nonlinear Partial Differential Equations

water wave problem with rough data, Jean-Yves Chemin on the wellposedness of the Navier-Stokes system, and Isabelle Gallagher on the;

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Differential Equations

function and its derivatives, whereas non - linear differential equations are formed by the products of the unknown function. This book unravels;

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Stochastic Differential Equations

and actuarial modelling. Well known phenomena have been described in the past by deterministic differential equations. Due to the presence;

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Differential Equations As Models In Science And Engineering

This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and;

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Differential Equations As Models In Science And Engineering

This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and;

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Differential Equations on Fractals

Differential Equations on Fractals opens the door to understanding the recently developed area of analysis on fractals, focusing on the;

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Partial Differential Equations

of systems described by partial differential equations by input-output linearisation; the Weierstrass system and partial differential equations as a;

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Differential Equations for Engineers

equations are determined by engineering applications. Theory and techniques for solving differential equations are then applied to solve practical;

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Differential Equations for Engineers

equations are determined by engineering applications. Theory and techniques for solving differential equations are then applied to solve practical;

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An Introduction to Differential Equations and Their Applications

Intended for use in a beginning one-semester course in differential equations, this text is designed for students of pure and applied;

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