Differential calculus and equations

The classical Lojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Lojasiewicz-Simon gradient inequality.

This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23-25 October 2018.

This book collects papers presented at the International Conference on Mathematical Modelling and Computational Intelligence Techniques (ICMMCIT) 2021, held at the Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, India, from 10-12 February 2021.

This book collects select papers presented at the International Conference on Applications of Basic Sciences, held at Tiruchirappalli, Tamil Nadu, India, from 19-21 November 2019.

The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions.

This book is about Lie group analysis of differential equations for physical and engineering problems.

This book collects original peer-reviewed contributions presented at the "e;International Conference on Mathematical Analysis and Applications (MAA 2020)"e; organized by the Department of Mathematics, National Institute of Technology Jamshedpur, India, from 2-4 November 2020.

This volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary.

This brief provides unified methods for the stabilization of some fractional evolution systems, nicely complementing existing literature on fractional calculus.

This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals.

This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions.

The book collects relevant contributions presented at a conference, organized in honour of Carlo Cercignani, that took place at Politecnico di Milano on May 24-28, 2021.

The book collects relevant contributions presented at a conference, organized in honour of Carlo Cercignani, that took place at Politecnico di Milano on May 24-28, 2021.

This book focuses on the nonlinear dynamics based on the vector fields with univariate quadratic functions.

The goal of this monograph is to answer the question, is it possible to solve the dynamics problem inside the configuration space instead of the phase space?

This monograph studies the heat kernel for the spin-tensor Laplacians on Lie groups and maximally symmetric spaces.

The content of the book collects some contributions related to the talks presented during the INdAM Workshop "e;Fractional Differential Equations: Modelling, Discretization, and Numerical Solvers"e;, held in Rome, Italy, on July 12-14, 2021.

This book focuses on the applications of various types of fractional-order differential equations.

This book contains select contributions presented at the International Conference on Nonlinear Applied Analysis and Optimization (ICNAAO-2021), held at the Department of Mathematics Sciences, Indian Institute of Technology (BHU) Varanasi, India, from 21-23 December 2021.

This book is devoted to stochastic Navier-Stokes equations and more generally to stochasticity in fluid mechanics.

This book is devoted to stochastic Navier-Stokes equations and more generally to stochasticity in fluid mechanics.

This book addresses the state of the art of reduced order methods for modelling and computational reduction of complex parametrised systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in various fields.

This book addresses the state of the art of reduced order methods for modelling and computational reduction of complex parametrised systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in various fields.

This book addresses the problem of multi-agent systems, considering that it can be interpreted as a generalized multi-synchronization problem.

This volume presents a timely overview of control theory and related topics, such as the reconstruction problem, the stability of PDEs, and the Calderon problem.

The purpose of this monograph is to describe recent developments in mathematical modeling and mathematical analysis of certain problems arising from cell biology.

This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21-24, 2018.

This book focuses on bifurcation theory for autonomous and nonautonomous differential equations with discontinuities of different types - those with jumps present either in the right-hand side, or in trajectories or in the arguments of solutions of equations.

Modern mathematics has become an essential part of today's physicist's arsenal and this book covers several relevant such topics.

This volume comprises selected contributions by the participants of the second "e;Functor Categories, Model Theory, Algebraic Analysis and Constructive Methods"e; conference, which took place at the University of Almeria, Spain, in July 2022.

This volume contains the contributions of the participants of the 14th ISAAC congress, held at the University of Sao Paulo, Campus Ribeirao Preto, Brazil, on July 17-21, 2023.

The book captures a fascinating snapshot of the current state of results about the operator-norm convergent Trotter-Kato Product Formulae on Hilbert and Banach spaces.

The present book deals with a streamlined presentation of Levy processes and their densities.

This book provides some recent advance in the study of stochastic nonlinear Schrodinger equations and their numerical approximations, including the well-posedness, ergodicity, symplecticity and multi-symplecticity.

This volume is devoted to the study of hyperbolic free boundary problems possessing variational structure.

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.

In the last decades, various mathematical problems have been solved by computer-assisted proofs, among them the Kepler conjecture, the existence of chaos, the existence of the Lorenz attractor, the famous four-color problem, and more.

This book collects original peer-reviewed contributions presented at the "e;International Conference on Mathematical Analysis and Applications (MAA 2020)"e; organized by the Department of Mathematics, National Institute of Technology Jamshedpur, India, from 2-4 November 2020.

The book focuses on the nonlinear dynamics based on the vector fields with bivariate quadratic functions.

This book collects select papers presented at the International Conference on Applications of Basic Sciences, held at Tiruchirappalli, Tamil Nadu, India, from 19-21 November 2019.

This book discusses delay and integro-differential equations from the point of view of the theory of functional differential equations.

This book collects papers presented at the International Conference on Mathematical Modelling and Computational Intelligence Techniques (ICMMCIT) 2021, held at the Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, India, from 10-12 February 2021.

This book is about Lie group analysis of differential equations for physical and engineering problems.

This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21-24, 2018.

The classical Lojasiewicz gradient inequality (1963) was extended by Simon (1983) to the infinite-dimensional setting, now called the Lojasiewicz-Simon gradient inequality.

In this book, the optimal transportation problem (OT) is described as a variational problem for absolutely continuous stochastic processes with fixed initial and terminal distributions.

This book aims to establish a foundation for fractional derivatives and fractional differential equations.

This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background.

This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23-25 October 2018.

This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23-25 October 2018.