This monograph presents in a unified manner the use of the Morse index, and especially its connections to the maximum principle, in the study of nonlinear elliptic equations.
Dieses 6-bändige Werk befasst sich mit den Anwendung von Differentialgleichungen in diversen Bereichen der Physik, Ingenieurwesen, Mathematik, Biologie und Soziologie.
The study of minimal surfaces is an important subject in differential geometry, and Nevanlinna theory is an important subject in complex analysis and complex geometry.
Dieses 6-bändige Werk befasst sich mit den Anwendung von Differentialgleichungen in diversen Bereichen der Physik, Ingenieurwesen, Mathematik, Biologie und Soziologie.
This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms.
Nonlinear functional analysis is a central subject of mathematics with applications in many areas of geometry, analysis, fl uid and elastic mechanics, physics, chemistry, biology, control theory, optimization, game theory, economics etc.
Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for fractional differential equations, including time-fractional sub-diffusion equations, time-fractional wave equations, and space-fractional differential equations, among others.
Dieses 6-bändige Werk befasst sich mit den Anwendung von Differentialgleichungen in diversen Bereichen der Physik, Ingenieurwesen, Mathematik, Biologie und Soziologie.
Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for fractional differential equations, including time-fractional sub-diffusion equations, time-fractional wave equations, and space-fractional differential equations, among others.
Dieses 6-bändige Werk befasst sich mit den Anwendung von Differentialgleichungen in diversen Bereichen der Physik, Ingenieurwesen, Mathematik, Biologie und Soziologie.
Self-organization of matter is observed in every context and on all scales, from the nanoscale of quantum fields and subatomic particles to the macroscale of galaxy superclusters.
Dieses 6-bändige Werk befasst sich mit den Anwendung von Differentialgleichungen in diversen Bereichen der Physik, Ingenieurwesen, Mathematik, Biologie und Soziologie.
Quantum Calculus and Functional Analysis with Applications presents advanced research on quantum calculus, functional analysis, and their interdisciplinary applications.
This textbook contains the lecture series originally delivered at the "e;Advanced Course on Limit Cycles of Differential Equations"e; in the Centre de Recerca Matematica Barcelona in 2006.
This official Student Solutions Manual includes solutions to the odd-numbered exercises featured in the third edition of Steven Strogatz's classic text Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering.
This book provides an introduction into the modern theory of classical harmonic analysis, dealing with Fourier analysis and the most elementary singular integral operators, the Hilbert transform and Riesz transforms.
This official Student Solutions Manual includes solutions to the odd-numbered exercises featured in the third edition of Steven Strogatz's classic text Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering.
**2025 Textbook and Academic Authors Association (TAA) McGuffey Longevity Award Winner**Introductory Differential Equations, Sixth Edition provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies.
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.
**2025 Textbook and Academic Authors Association (TAA) McGuffey Longevity Award Winner**Introductory Differential Equations, Sixth Edition provides the foundations to assist students in learning not only how to read and understand differential equations, but also how to read technical material in more advanced texts as they progress through their studies.
