Differential calculus and equations

Investigating the correspondence between systems of partial differential equations and their analytic solutions using a formal approach, this monograph presents algorithms to determine the set of analytic solutions of such a system and conversely to find differential equations whose set of solutions coincides with a given parametrized set of analytic functions.

Das Buch führt in die Theorie der Partiellen Differentialgleichungen ein, lediglich die Grundvorlesungen der Analysis werden vorausgesetzt.

This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015.

Differential equations play a vital role in the modeling of physical and engineering problems, such as those in solid and fluid mechanics, viscoelasticity, biology, physics, and many other areas.

This volume comprises selected papers presented at the Volterra Centennial Symposium and is dedicated to Volterra and the contribution of his work to the study of systems - an important concept in modern engineering.

Nonlinear analysis is a remarkable mixture of topology, analysis and applied mathematics.

Hilbert space frames have long served as a valuable tool for signal and image processing due to their resilience to additive noise, quantization, and erasures, as well as their ability to capture valuable signal characteristics.

Stochastic Differential Equations and Diffusion Processes

Articles in this collection discuss basic concepts and modern developments in the field.

This book is a collection of original papers on microlocal analysis, Fourier analysis in the complex domain, generalized functions and related topics.

There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic.

This book introduces a variety of neural network methods for solving differential equations arising in science and engineering.

This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate students.

This volume contains the proceedings of the 22nd International Conference on Difference Equations and Applications, held at Osaka Prefecture University, Osaka, Japan, in July 2016.

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Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models.

This brief explores the Krasnosel'skii-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods.

This book focuses on the European Union as an actor involved in the transnational Kurdish issue covering Turkey, Iran, Iraq and Syria.

GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES AND APPLICATIONS Explore a unified view of differential equations through the use of the generalized ODE from leading academics in mathematics Generalized Ordinary Differential Equations in Abstract Spaces and Applications delivers a comprehensive treatment of new results of the theory of Generalized ODEs in abstract spaces.

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This book provides a modern survey of some basic properties of Sturm-Liouville problems and to bring the reader to the forefront of knowledge of some areas of the theory.

This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations.

The book presents the methods of analysis of dynamical mechanical systems subjected to stochastic excitations in form of random trains of impulses.

This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday.

This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms.

Encounters with Chaos and Fractals, Third Edition provides an accessible introduction to chaotic dynamics and fractal geometry.

In the study of Magnetic Positioning Equations, it is possible to calculate and create analytical expressions for the intensity of magnetic fields when the coordinates x, y and z are known; identifying the inverse expressions is more difficult.

This Research Note presents some recent advances in various important domains of partial differentialequations and applied mathematics including equations and systems of elliptic and parabolic type and various applications in physics,mechanics and engineering.

This book offers a systematic treatment of a classic topic in Analysis.

The book is devoted to the qualitative study of differential equations defined by piecewise linear (PWL) vector fields, mainly continuous, and presenting two or three regions of linearity.

The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature.

Most systems in science, engineering, and biology are of partial differential systems (PDSs) modeled by partial differential equations.

The notes of this book originate from three series of lectures given at the Centre de Recerca Matematica (CRM) in Barcelona.

curvilinear coordinates.

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.

This book presents a unified approach to studying the stability of both elliptic Cauchy problems and selected inverse problems.

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The International conference on Multiscale problems in science and technol- ogy; Challenges to mathematical analysis and applications brought together mathematicians working on multiscale techniques (homogenisation, singular perturbation) and specialists from applied sciences who use these techniques.

The future of oncology seems to lie in Molecular Medicine (MM).

Moving mesh methods are an effective, mesh-adaptation-based approach for the numerical solution of mathematical models of physical phenomena.

The work of Jean Mawhin covers different aspects of the theory of differential equations and nonlinear analysis.

An extensively updated second edition including new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients.

This book presents research advancements in the dynamics of systems with time delay conducted by the group led by Professor Jian Xu.

A broad introduction, perfect for a one-year graduate course.