Stochastic Partial Differential Equations and Applications - VII
| Author | : Giuseppe Da Prato |
| Publisher | : CRC Press |
| Total Pages | : 360 |
| Release | : 2005-10-12 |
| Genre | : Mathematics |
| ISBN | : 1420028723 |
Stochastic Partial Differential Equations and Applications gives an overview of current state-of-the-art stochastic PDEs in several fields, such as filtering theory, stochastic quantization, quantum probability, and mathematical finance. Featuring contributions from leading expert participants at an international conference on the subject, this boo
Differential Geometry and Its Applications
| Author | : Old?ich Kowalski |
| Publisher | : World Scientific |
| Total Pages | : 732 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : 9812790608 |
This volume contains invited lectures and selected research papers in the fields of classical and modern differential geometry, global analysis, and geometric methods in physics, presented at the 10th International Conference on Differential Geometry and its Applications (DGA2007), held in Olomouc, Czech Republic.The book covers recent developments and the latest results in the following fields: Riemannian geometry, connections, jets, differential invariants, the calculus of variations on manifolds, differential equations, Finsler structures, and geometric methods in physics. It is also a celebration of the 300th anniversary of the birth of one of the greatest mathematicians, Leonhard Euler, and includes the Euler lecture ?Leonhard Euler ? 300 years on? by R Wilson. Notable contributors include J F Cari¤ena, M Castrill¢n L¢pez, J Erichhorn, J-H Eschenburg, I Kol ?, A P Kopylov, J Korba?, O Kowalski, B Kruglikov, D Krupka, O Krupkov , R Landre, Haizhong Li, S Maeda, M A Malakhaltsev, O I Mokhov, J Mu¤oz Masqu, S Preston, V Rovenski, D J Saunders, M Sekizawa, J Slov k, J Szilasi, L Tam ssy, P Walczak, and others.
Mathematical Structures of Ergodicity and Chaos in Population Dynamics
| Author | : Paweł J. Mitkowski |
| Publisher | : Springer Nature |
| Total Pages | : 97 |
| Release | : 2020-09-19 |
| Genre | : Computers |
| ISBN | : 3030576787 |
This book concerns issues related to biomathematics, medicine, or cybernetics as practiced by engineers. Considered population dynamics models are still in the interest of researchers, and even this interest is increasing, especially now in the time of SARS-CoV-2 coronavirus pandemic, when models are intensively studied in order to help predict its behaviour within human population. The structures of population dynamics models and practical methods of finding their solutions are discussed. Finally, the hypothesis of the existence of non-trivial ergodic properties of the model of erythropoietic response dynamics formulated by A. Lasota in the form of delay differential equation with unimodal feedback is analysed. The research can be compared with actual medical data, as well as shows that the structures of population models can reflect the dynamic structures of reality.
Topology and Dynamics of Chaos
| Author | : Christophe Letellier |
| Publisher | : World Scientific |
| Total Pages | : 362 |
| Release | : 2013 |
| Genre | : Science |
| ISBN | : 9814434868 |
The book surveys how chaotic behaviors can be described with topological tools and how this approach occurred in chaos theory. Some modern applications are included. The contents are mainly devoted to topology, the main field of Robert Gilmore's works in dynamical systems. They include a review on the topological analysis of chaotic dynamics, works done in the past as well as the very latest issues. Most of the contributors who published during the 90's, including the very well-known scientists Otto RAssler, Ren(r) Lozi and Joan Birman, have made a significant impact on chaos theory, discrete chaos, and knot theory, respectively. Very few books cover the topological approach for investigating nonlinear dynamical systems. The present book will provide not only some historical OCo not necessarily widely known OCo contributions (about the different types of chaos introduced by RAssler and not just the RAssler attractor; Gumowski and Mira's contributions in electronics; Poincar(r)'s heritage in nonlinear dynamics) but also some recent applications in laser dynamics, biology,
Communications in Difference Equations
| Author | : Saber N. Elaydi |
| Publisher | : CRC Press |
| Total Pages | : 448 |
| Release | : 2000-07-06 |
| Genre | : Mathematics |
| ISBN | : 1482283336 |
This collection of carefully refereed and edited papers were originally presented at the Fourth International Conference on Difference Equations held in Poznan, Poland. Contributions were from a diverse group of researchers from several countries and featured discussions on the theory of difference equations, open problems and conjectures, as well
Perturbation of Isolated Eigenvalues of Singular Differential Operators
| Author | : Kishor J Shinde |
| Publisher | : Educreation Publishing |
| Total Pages | : 98 |
| Release | : 2018-06-20 |
| Genre | : Education |
| ISBN | : |
The objective of book is to investigate the results of limit circle case/limit point case of singular Sturm-Liouville differential operators about their spectrum and invariance under perturbation that arise in quantum mechanics. The studies of ordinary differential operators of any order and dimension have been motivated by the Herman Weyl's selected work on general singular ordinary differential expressions together with the development in quantum mechanics. The Sturm-Liouville differential equation is one of the particular forms of the general singular ordinary differential expression and it forms generalization of well known differential equations such as Bessel, Laguerre, Hermite and Legendre's differential equations which are found to have applications in several branches of mathematical physics.
