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 | : Atkinson |
| Publisher | : Academic Press |
| Total Pages | : 226 |
| Release | : 1972-06-16 |
| Genre | : Computers |
| ISBN | : 0080955908 |
Multiparameter eigenvalue problems
| Author | : W. N. Everitt |
| Publisher | : Springer |
| Total Pages | : 387 |
| Release | : 2006-11-15 |
| Genre | : Mathematics |
| ISBN | : 3540376186 |
| Author | : R Raghavan |
| Publisher | : Routledge |
| Total Pages | : 140 |
| Release | : 2017-11-22 |
| Genre | : Mathematics |
| ISBN | : 1351469754 |
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 | : B N Mandal |
| Publisher | : CRC Press |
| Total Pages | : 145 |
| Release | : 2020-11-26 |
| Genre | : Mathematics |
| ISBN | : 1000158020 |
An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.
| Author | : Virginia S Kiryakova |
| Publisher | : CRC Press |
| Total Pages | : 412 |
| Release | : 1993-12-27 |
| Genre | : Mathematics |
| ISBN | : 9780582219779 |
In this volume various applications are discussed, in particular to the hyper-Bessel differential operators and equations, Dzrbashjan-Gelfond-Leontiev operators and Borel type transforms, convolutions, new representations of hypergeometric functions, solutions to classes of differential and integral equations, transmutation method, and generalized integral transforms. Some open problems are also posed. This book is intended for graduate and post-graduate students, lecturers, researchers and others working in applied mathematical analysis, mathematical physics and related disciplines.
