Two Parameter Eigenvalue Problems In Ordinary Differential Equations
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| Author | : M. Faierman |
| Publisher | : Chapman & Hall/CRC |
| Total Pages | : 182 |
| Release | : 1991 |
| Genre | : Mathematics |
| ISBN | : |
The aim of this Research Note is to present a comprehensive treatment of some problems arising in the spectral theory of two-parameter systems involving ordinary differential equations. In particular, results are presented concerning the spectrum, the Eigenfunction expansion and the structure of the principal subspaces of a two-parameter system under various definiteness assumptions.
| Author | : F.V. Atkinson |
| Publisher | : CRC Press |
| Total Pages | : 297 |
| Release | : 2010-12-07 |
| Genre | : Mathematics |
| ISBN | : 1439816239 |
One of the masters in the differential equations community, the late F.V. Atkinson contributed seminal research to multiparameter spectral theory and Sturm-Liouville theory. His ideas and techniques have long inspired researchers and continue to stimulate discussion. With the help of co-author Angelo B. Mingarelli, Multiparameter Eigenvalue Problem
| Author | : Hans Volkmer |
| Publisher | : Springer |
| Total Pages | : 164 |
| Release | : 2006-11-14 |
| Genre | : Mathematics |
| ISBN | : 3540460152 |
This book provides a self-contained treatment of two of the main problems of multiparameter spectral theory: the existence of eigenvalues and the expansion in series of eigenfunctions. The results are first obtained in abstract Hilbert spaces and then applied to integral operators and differential operators. Special attention is paid to various definiteness conditions which can be imposed on multiparameter eigenvalue problems. The reader is not assumed to be familiar with multiparameter spectral theory but should have some knowledge of functional analysis, in particular of Brower's degree of maps.
| Author | : F. V. Atkinson |
| Publisher | : |
| Total Pages | : 232 |
| Release | : 1972 |
| Genre | : Differential equations |
| ISBN | : |
| Author | : |
| Publisher | : Elsevier |
| Total Pages | : 219 |
| Release | : 2011-09-21 |
| Genre | : Mathematics |
| ISBN | : 0080871240 |
Spectral Theory and Asymptotics of Differential Equations
| Author | : W. N. Everitt |
| Publisher | : Springer |
| Total Pages | : 387 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540376186 |
| Author | : R Raghavan |
| Publisher | : Routledge |
| Total Pages | : 136 |
| Release | : 2017-11-22 |
| Genre | : Mathematics |
| ISBN | : 1351469762 |
Self-contained and concise, this Research Note provides a basis to study unsteady flow in saturated porous media. It provides for the development of algorithms that examine three-dimensional flows subject to complicated boundary conditions that are a natural consequence of flow in geological systems. A new way to understand the flow in porous media is presented. The authors pay attention to computational considerations, and options for developing codes are addressed. The note consists of five chapters: the first is introductory; the second and third are devoted to showing how one arrives at the solutions of interest; the fourth chapter presents various reformulations to aid computations and presents a few illustrative examples; the fifth chapter is a natural progression of the first four chapters to more complicated visualizations of flow in porous media.
| Author | : Christian Constanda |
| Publisher | : CRC Press |
| Total Pages | : 249 |
| Release | : 2020-01-16 |
| Genre | : Mathematics |
| ISBN | : 100071666X |
Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells. Volume 1 covers Analytic Methods.
| Author | : Curtis Tuckey |
| Publisher | : CRC Press |
| Total Pages | : 116 |
| Release | : 1993-11-22 |
| Genre | : Mathematics |
| ISBN | : 9780582231801 |
This monograph is unique in its treatment of the application of methods of nonstandard analysis to the theory of curves in the calculus of variations. It will be of particular value to researchers in the calculus of variations and optimal control theory.
| Author | : D.F. Griffiths |
| Publisher | : CRC Press |
| Total Pages | : 290 |
| Release | : 2020-10-07 |
| Genre | : Mathematics |
| ISBN | : 1000115259 |
This volume contains invited papers presented at the 15th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee in June of 1993. The Dundee Conferences are important events in the numerical analysis calendar, and the papers published here represent accounts of recent research work by leading numerical analysts covering a wide range of fields of interest. The book is a valuable guide to the direction of current research in many areas of numerical analysis. It will be of particular interest to graduate students and research workers concerned with the theory and application of numerical methods for solving ordinary and partial differential equations.
