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  • Lebesgue Measure and Integration Theory

    Foundations and Solved Exercises

    Lebesgue Measure and Integration Theory: Foundations and Solved Exercises offers a thorough, engaging introduction to Lebesgue measure and the theory of integration for students of mathematics and physics. This book provides the complete theoretical underpinnings of this theory, with the corresponding proofs, adapted to the level of advanced undergraduate and graduate students in these disciplines ... Read more

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  • Green’s Functions in the Theory of Ordinary Differential Equations

    Series series Mathematics and Statistics (R0)
    This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive ... Read more

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  • Maximum Principles for the Hill's Equation

    Maximum Principles for the Hill's Equation focuses on the application of these methods to nonlinear equations with singularities (e.g. Brillouin-bem focusing equation, Ermakov-Pinney,…) and for problems with parametric dependence. The authors discuss the properties of the related Green's functions coupled with different boundary value conditions. In addition, they establish the equations' ... Read more

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  • Differential Equations with Involutions

    Series series Atlantis Briefs in Differential Equations
    This monograph covers the existing results regarding Green’s functions for differential equations with involutions (DEI).The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential operators. The work combines the state of the art regarding the existence and uniqueness results for DEI and ... Read more

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  • Nonlinear Analysis and Boundary Value Problems

    NABVP 2018, Santiago de Compostela, Spain, September 4-7

    Series series Springer Nature Proceedings excluding Computer Science
    This book is devoted to Prof. Juan J. Nieto, on the occasion of his 60th birthday. Juan José Nieto Roig (born 1958, A Coruña) is a Spanish mathematician, who has been a Professor of Mathematical Analysis at the University of Santiago de Compostela since 1991. His most influential contributions to date are in the area of differential equations. Nieto received his degree in Mathematics from the ... Read more

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  • A Primer on the Dirichlet Space

    Series Book 203 - Cambridge Tracts in Mathematics
    The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account of the Dirichlet space, assembling results previously only found in scattered research articles ... Read more

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    This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations.The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can be read independently, so in essence this ... Read more

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