The second edition covers the fundamentals of nonlinear analysis, variational methods and their applications. Also it covers Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point...Daugiau...
Dumitru Baleanu, Necati Ozdemir, Yeliz Karaca, Mukund N Janardhanan, Firat Evirgen, Ibrahim Kucukkoc
Serija: Systems Science & Nonlinear Intelligence Dynamics
(Išleidimo metai: 04-Sep-2025, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819815425)
This book compiles a curated selection of papers presented at the Third International Conference on Applied Mathematics in Engineering - ICAME24. The content is dedicated to key areas within the realm of applied mathematics, including optimization,...Daugiau...
Serija: De Gruyter Series in Mathematics and Life Sciences
(Išleidimo metai: 01-Sep-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111638539)
The publication of this book is motivated by the need to present the latest research & advancements in the fields of Fluid/Solid Mechanics, Nonlinear Dynamics, and Differential Equations in Applied Mathematics. This book gathers the work of leading...Daugiau...
(Išleidimo metai: 04-Aug-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111724553)
The book focuses on the theory of fixed points, which is a foundation for many branches of pure and applied mathematics. Fixed point theorems have been studied in various function spaces. The book contains modern results on these theorems, investi...Daugiau...
Serija: CBMS-NSF Regional Conference Series in Applied Mathematics
(Išleidimo metai: 31-Jul-2025, Paperback / softback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978254)
Unifying rigorous theory and numerical insights, this framework assesses convergence in discrete optimal control via truncation error bounds and stability analysis. It uncovers links between collocation, Runge-Kutta methods, and gradient-based strat...Daugiau...
(Išleidimo metai: 31-Jul-2025, Hardback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978346)
An innovative method reduces complex nonlinear equations to spectral submanifolds (SSMs), low-dimensional invariant structures that capture the essence of system dynamics with precision. Applications in fluid and solid mechanics and control theory d...Daugiau...
(Išleidimo metai: 31-Jul-2025, Paperback / softback, Leidėjas: Society for Industrial & Applied Mathematics,U.S., ISBN-13: 9781611978483)
Research on the Anderson Acceleration (AA) has exploded in the last 15 years. This book brings together these recent fundamental results applied to nonlinear solvers for PDEs, which are ubiquitous across mathematics, science, engineering, and econom...Daugiau...
(Išleidimo metai: 12-Jun-2025, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009381475)
This text introduces magnetohydrodynamics (MHD) from a fluid dynamics perspective at a level accessible to advanced undergraduate and beginning graduate students. Problem sets extend key concepts with fully-worked solutions available to instructors....Daugiau...
Serija: De Gruyter Series in Applied and Numerical Mathematics
(Išleidimo metai: 02-Jun-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111304397)
Methods for solving problems of mathematical physics can be divided into the following four classes. Analytical methods (the method of separation of variables, the method of characteristics, the method of Greens functions, etc.) methods...Daugiau...
(Išleidimo metai: 02-Jun-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111722511)
This book provides a comprehensive exploration of Mean Field Games (MFG) theory, a mathematical framework for modeling the collective behavior of rational agents in complex systems. MFG theory can govern a range of societal phenomena, including fi...Daugiau...
Within this book, the author has developed a general systems theory based on classical statistical physics for fractal fluctuations which predicts the following: (i) The fractal fluctuations signify an underlying eddy continuum, the larger eddies be...Daugiau...
This book is a compilation of select chapter from the 2023 International Conference on Nonlinear Science and Complexity. It presents recent advancements, discoveries, and ongoing research in various facets of nonlinear science and complexity. The...Daugiau...
There are very few systematic books on the dynamics of entire functions. Unfortunately, reading these books is often difficult for non-specialists since their proofs are not clearly written, and readers struggle to understand the arguments fully....Daugiau...
Serija: De Gruyter Series in Nonlinear Analysis & Applications
(Išleidimo metai: 31-Mar-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111625171)
This book is a comprehensive guide to the space-time algebra of sixteen-component values sedeons. This algebra is designed to provide a compact representation of equations that describe various physical systems. The book considers the symmetry o...Daugiau...
Serija: World Scientific Series on Nonlinear Science Series A
(Išleidimo metai: 24-Mar-2025, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819810000)
This book is a specific monograph on nonlinear resonance in circuits and systems. The topic falls within the wider area of research that the authors have been developing during the last several years, which includes strange attractors and bifurcatio...Daugiau...
Serija: De Gruyter Series in Applied and Numerical Mathematics
(Išleidimo metai: 17-Mar-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111508764)
This book delves into the recent findings and research methods in the existence and regularity theory for Non-Newtonian Fluids with Variable Power-Law. The aim of this book is not only to introduce recent results and research methods in the existe...Daugiau...
The nonlinear optical spectrum signal technology is a new type of optical characterization technology owing to its non-invasiveness and good biocompatibility. This book highlights a comprehensive introduction to the Stimulated Raman scattering (SRS),...Daugiau...
Serija: De Gruyter Series in Nonlinear Analysis & Applications
(Išleidimo metai: 03-Mar-2025, Hardback, Leidėjas: De Gruyter, ISBN-13: 9783111635514)
This book is devoted to the qualitative theory of partial dynamic equations on arbitrary time scales. The results in the book generalize the classical results, and they unify the discrete and continuous cases. The book starts with classification a...Daugiau...
This book discusses continuous and discrete nonlinear systems in systematic and sequential approaches. The unique feature of the book is its mathematical theories on flow bifurcations, nonlinear oscillations, Lie symmetry analysis of nonlinear sys...Daugiau...