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Nonlinear Differential Equations and Applications

This proceedings volume gathers selected, carefully reviewed works presented at the Portugal-Italy Conference on Nonlinear Differential Equations and Applications (PICNDEA22), held on July 4-6, 2022, at t…

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Sotiris K. Ntouyas, Bashir Ahmad
Nonlinear Systems of Fractional Differential Equations

This book studies the theoretical aspects for a variety of coupled fractional differential systems involving Riemann-Liouville, Caputo, -Riemann--Liouville, Hilfer, --Hilfer, Hadamard, Hilfer--Hadamard,…

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Michael E. Taylor
Partial Differential Equations III

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well a…

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Shian Wang, N. U. Ahmed
Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control

This book offers the first comprehensive presentation of measure-valued solutions for nonlinear deterministic and stochastic evolution equations on infinite dimensional Banach spaces. Unlike traditional s…

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Maciej Dunajski
Solitons, Instantons, and Twistors

The book provides a self-contained and accessible introduction to integrable systems. It starts with an introduction to integrability of ordinary and partial differential equations, and goes on to explore…

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Ochbadrakh Chuluunbaatar, Tugal Zhanlav
New Developments of Newton-Type Iterations for Solving Nonlinear Problems

This comprehensive book delves into the intricacies of Newton-type methods for nonlinear equations, offering insights into their convergence, accelerations, and extensions. Divided into three parts, the b…

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Nikolaos S. Papageorgiou, Shouchuan Hu
Research Topics in Analysis, Volume II

This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key techniques and applications to explore various subfields o…

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Systems Theory and PDEs

Trends in Mathematics

This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs. Chapters are based on talks and problem sessions from t…

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Peter J. Costa
Select Ideas in Partial Differential Equations

This book provides a concise but thorough introduction to partial differential equations which model phenomena that vary in both space and time. The author begins with a full explanation of the fundamenta…

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Marine A. Mikilyan, Gevorg Y. Baghdasaryan
Magnetoelastic Vibrations and Stability of Magnetically Active Plates and Shells

This book introduces the reader to methods of mathematical modeling and solving non-stationary (dynamic) problems of the theory of magnetoelasticity, as well as to give an idea of the wealth of physical e…

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Carl L. Gardner
Applied Numerical Methods for Partial Differential Equations

The aim of this book is to quickly elevate students to a proficiency level where they can solve linear and nonlinear partial differential equations using state-of-the-art numerical methods. It covers nume…

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Nonlinear and Modern Mathematical Physics

This book gathers peer-reviewed, selected contributions from participants of the 6th International Workshop on Nonlinear and Modern Mathematical Physics (NMMP-2022), hosted virtually from June 17 19, 2022…

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Ulziibayar Vandandoo, Tugal Zhanlav, Galmandakh Chuluunbaatar, Alexander Gusev
High-Order Finite Difference and Finite Element Methods for Solving Some Partial Differential Equations

This monograph is intended for graduate students, researchers and teachers. It is devoted to the construction of high-order schemes of the finite difference method and the finite element method for the so…

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Youssef N. Raffoul
Difference Equations and Applications

Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The book begins with extensive coverage of the calculu…

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Intelligent Computing Techniques in Biomedical Imaging

Optical Communications from a Fourier Perspective: Fourier Theory and Optical Fiber Devices and Systems covers a broad range of subjects spanning Fourier theory and signal analysis over photonic component…

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New Trends in the Applications of Differential Equations in Sciences

This book convenes peer-reviewed, selected papers presented at the Tenth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Saints Constantine a…

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José Emílio Maiorino, Edmundo Capelas De Oliveira
Analytical Methods in Applied Mathematics

This book compiles an extensive list of solved and proposed problems in mathematical topics in analysis, aimed at students of mathematics, applied mathematics, physics, and engineering. The book begins w…

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Michael Röckner, Viorel Barbu
Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts

This book delves into a rigorous mathematical exploration of the well-posedness and long-time behavior of weak solutions to nonlinear Fokker-Planck equations, along with their implications in the theory o…

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Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems

A broad range of phenomena in science and technology can be described by non-linear partial differential equations characterized by systems of conservation laws with source terms. Well known examples are …

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Panpan Ren Feng-Yu Wang
Distribution Dependent Stochastic Differential Equations

Corresponding to the link of Itô's stochastic differential equations (SDEs) and linear parabolic equations, distribution dependent SDEs (DDSDEs) characterize nonlinear Fokker-Planck equations. This type o…

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