Differential calculus and equations

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

Introduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.

This contemporary graduate-level text in harmonic analysis introduces the reader to a wide array of analytical results and techniques.

A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.

A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.

Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.

Presents recent progress in two-dimensional mathematical hydrodynamics, including rigorous results on turbulence in space-periodic fluid flows.

An engaging graduate-level introduction that bridges analysis and geometry.

An essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.

A collection of articles on operator-theoretic methods for boundary-value problems.

An engaging graduate-level introduction that bridges analysis and geometry.

A collection of articles on operator-theoretic methods for boundary-value problems.

A rigorous introduction to real analysis for undergraduates.

Gives graduate students and researchers an introductory overview of partial differential equation analysis of biomedical engineering systems through detailed examples.

The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.

A rigorous introduction to real analysis for undergraduates.

Guides the reader through the nonlinear Perron–Frobenius theory, introducing them to recent developments and challenging open problems.

This volume comprises state-of-the-art articles in discrete integrable systems.

Consists of papers given at the ICMS meeting held in 1994 on this topic, and brings together some of the world''s best known authorities on stochastic partial differential equations.

Comprehensive monograph by two leading international experts; includes applications to statistical and fluid mechanics and to finance.

Selected papers from the Computer Algebra and Differential Equations meeting held in France in June 1992.

A compact treatment that takes the reader from simple examples to current research involving ordinary differential equations.

A compact treatment that takes the reader from simple examples to current research involving ordinary differential equations.

A comprehensive course on entropy in dynamical systems ideal for graduate students learning the subject from scratch.

Describes modern methods in the analysis of reduced models of Bose–Einstein condensation in periodic lattices.

A self-contained presentation of the tools of Lorentzian geometry necessary to access recent works in mathematical relativity.

A comprehensive introduction to and survey of the state of the art, suitable for graduate students and researchers alike.

Reviews and research articles summarizing a wide range of active research topics in fluid mechanics.

This is a version of Gevrey''s classical treatise on the heat equations.

This book contains a comprehensive collection of chapters on recent and original research, along with review articles, on mathematical modeling of dynamical systems described by various types of differential equations.

This book provides a well-balanced and comprehensive picture based on clear physics, solid mathematical formulation, and state-of-the-art useful numerical methods in deterministic, stochastic, deep neural network machine learning approaches for computer simulations of electromagnetic and transport processes in biology, microwave and optical wave devices, and nano-electronics.

This book discusses the generalized Duffing equation and its periodic perturbations, with special emphasis on the existence and multiplicity of periodic solutions, subharmonic solutions and different approaches to prove rigorously the presence of chaotic dynamics.

"e;Provides a clear and comprehensive overview of the fundamental theories, numerical methods, and iterative processes encountered in difference calculus.

Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field.

Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field.

"e;Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory.

Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures.

"e;Presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N.

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions.

This reference details valuable results that lead to improvements in existence theorems for the Loewner differential equation in higher dimensions, discusses the compactness of the analog of the Caratheodory class in several variables, and studies various classes of univalent mappings according to their geometrical definitions.

As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable investigative scientific tools in their own right.

As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable investigative scientific tools in their own right.

As computer-assisted modeling and analysis of physical processes have continued to grow and diversify, sensitivity and uncertainty analyses have become indispensable scientific tools.

Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become.

This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems.

Modern Computational Methods for Fractional Differential Equations provides a comprehensive introduction to the fundamentals of fractional calculus.

This book addresses the issue of uniqueness of a solution to a problem - a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon.

Input-to-State Stability presents the dominating stability paradigm in nonlinear control theory that revolutionized our view on stabilization of nonlinear systems, design of robust nonlinear observers, and stability of nonlinear interconnected control systems.

Functional equations encompass most of the equations used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument, and integro-differential equations of the Volterra type.

Functional equations encompass most of the equations used in applied science and engineering: ordinary differential equations, integral equations of the Volterra type, equations with delayed argument, and integro-differential equations of the Volterra type.