✦ LIBER ✦

Spectral theory for a differential operator: Characteristic determinant and Green's function

✍ Scribed by Patrick Lang; John Locker

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 814 KB
Volume: 141
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(89)90186-8

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

The Spectral Theory of Second Order Two-

The Spectral Theory of Second Order Two-Point Differential Operators II. Asymptotic Expansions and the Characteristic Determinant

✍ J. Locker 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 443 KB

In this second paper of a four-part series, we construct the characteristic determinant of a two-point differential operator \(L\) in \(L^{2}[0,1]\), where \(L\) is determined by \(\ell=-D^{2}+q\) and by independent boundary values \(B_{1}, B_{2}\). For the solutions \(u(\cdot ; \rho)\) and \(v(\cdo

Green's dyadics and factorization of the

Green's dyadics and factorization of the Helmholtz determinant operator for a class of bianisotropic media

✍ Frank Olyslager; Ismo V. Lindell 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 113 KB

In this paper, we in¨estigate the Green's dyadics for a homogeneous bianisotropic medium where the material dyadics are of T the form s ⑀ q ab, s x = I q bb, and s z = I q aa. We will show that the Helmholtz determinant operator still can be factorized for this medium. The scalar Green's function of

Differentiability for Green's operators

Differentiability for Green's operators of variational inequalities and applications to the determination of bifurcation points

✍ Hugo Beirão da Veiga 📂 Article 📅 1979 🏛 Elsevier Science 🌐 English ⚖ 298 KB

On the Matrix Spectral Function of a Gen

On the Matrix Spectral Function of a Generalized Second-Order Differential Operator in a Ramified Space

✍ Matthias Weber 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 623 KB

The existence of a unique 71 x n matrix spectral function is shown for a selfadjoint operator A in a Hilbert space Lg(m). This Hilbert space is a subspace of the product of spaces L2(rn;) with measures rn,, i = 1 , . . . , n , having support i n [O,m). The inner product in Li(m) is the weighted sum

A proposal for the calculation of charac

A proposal for the calculation of characteristic functions for certain differential and integral operators via initial-value methods

✍ J Casti; R Kalaba; M Scott 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 537 KB

Anisotropic recursive dyadic Green's fun

Anisotropic recursive dyadic Green's function 3D theory for a radially inhomogeneous microstrip circular ferrite circulator

✍ Clifford M. Krowne 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 237 KB 👁 2 views

Here we develop a three-dimensional (3D) dyadic recursive Green's function with elements GQR GH suitable for determining the electric "eld component E X and magnetic "eld component H ( anywhere within a circular, planar (microstrip or stripline) circulator. All of the other components may also be fo