Eigenvalues and Completeness for Regular and Simply Irregular Two Point Differential Operators is popular PDF and ePub book, written by John Locker in 2008, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Eigenvalues and Completeness for Regular and Simply Irregular Two Point Differential Operators can be Read Online from any device for your convenience.
Eigenvalues and Completeness for Regular and Simply Irregular Two Point Differential Operators Book PDF Summary
In this monograph the author develops the spectral theory for an $n$th order two-point differential operator $L$ in the Hilbert space $L2[0,1]$, where $L$ is determined by an $n$th order formal differential operator $\ell$ having variable coefficients and by $n$ linearly independent boundary values $B 1, \ldots, B n$. Using the Birkhoff approximate solutions of the differential equation $(\rhon I - \ell)u = 0$, the differential operator $L$ is classified as belonging to one of threepossible classes: regular, simply irregular, or degenerate irregular. For the regular and simply irregular classes, the author develops asymptotic expansions of solutions of the differential equation $(\rhon I - \ell)u = 0$, constructs the characteristic determinant and Green's function,characterizes the eigenvalues and the corresponding algebraic multiplicities and ascents, and shows that the generalized eigenfunctions of $L$ are complete in $L2[0,1]$. He also gives examples of degenerate irregular differential operators illustrating some of the unusual features of this class.
Detail Book of Eigenvalues and Completeness for Regular and Simply Irregular Two Point Differential Operators PDF
- Author : John Locker
- Release : 20 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821841716
- Genre : Mathematics
- Total Page : 194 pages
- Language : English
- PDF File Size : 8,6 Mb
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