Author: V. Lakshmikantham Publisher: CRC Press ISBN: 1000154181 Category : Mathematics Languages : en Pages : 606
Book Description
This book is based on an International Conference on Trends in Theory and Practice of Nonlinear Differential Equations held at The University of Texas at Arlington. It aims to feature recent trends in theory and practice of nonlinear differential equations.
Author: Markus Kirkilionis Publisher: Springer Science & Business Media ISBN: 3662052814 Category : Mathematics Languages : en Pages : 427
Book Description
Applied mathematics is a central connecting link between scientific observations and their theoretical interpretation. Nonlinear analysis has surely contributed major developments which nowadays shape the face of applied mathematics. At the beginning of the millennium, all sciences are expanding at increased speed. Technological, ecological, economical and medical problem solving is a central issue of every modern society. Mathematical models help to expose fundamental structures hidden in these problems and serve as unifying tools to deepen our understanding. What are the new challenges applied mathematics has to face with the increased diversity of scientific problems? In which direction should the classical tools of nonlinear analysis be developed further? How do new available technologies influence the development of the field? How can problems be solved which have been beyond reach in former times? It is the aim of this book to explore new developments in the field by way of discussion of selected topics from nonlinear analysis.
Author: V. Lakshmikantham Publisher: ISBN: Category : Languages : en Pages : 300
Book Description
The amin of the conference was to feature trends in theory and practice of nonlineary analysis. The contents of this conference are very broad including thoery as well as applications. The works, in some cases reflected collaborative efforts between mathematicians and other scientists and engineers. Indeed there are talks cocerned with optimal cotrol and variational methods which deal with problems that are either deterministic or stochastic in nature. Several papers in qualitative behavior of solutions of nonlinear evolution as well as partial differential equations including currnet status fo Hamilton-Jacobi equations, are presented. Some of the partial differential equations as wll as Volterra equations and ordinary differential equations represented models in the life and natural sciences. In related papers numerical techniques are developed to analyze the models mentioned above as well as others. There is also a group of mathematical scientists concerned with dynamical systems; particulary, stability theory, bifurcation analysis, chaos, and pattern formation. There are a few papers on delay differential equations, particularly for boundary value problems.
Author: Qamrul Hasan Ansari Publisher: Springer ISBN: 8132218833 Category : Mathematics Languages : en Pages : 362
Book Description
Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.
Author: Lakshmikantham Publisher: CRC Press ISBN: 1000103609 Category : Mathematics Languages : en Pages : 680
Book Description
This book attempts to put together the works of a wide range of mathematical scientists. It consists of the proceedings of the Seventh Conference on "Nonlinear Analysis and Applications" including papers that were delivered as invited talks and research reports.