REGULARIZED TRACE OF STURM-LIOUVILLE EQUATION WITH SINGILARITY ON A BOUNDED SEGMENT
Küçük Resim Yok
Tarih
2012
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Let mu(1) <= mu(2) <= ... <= mu(n) <= ... and lambda(1) <= lambda(2) ... <= lambda(n) <= ... be the eigenvalues of the operatorsL(0)and L which are formed by differential expressions l(o)[y] = -y '' + v(2) - 1/4/x(2)y; l[y] = -y '' + v(2) - 1/4/x(2)y + q(x)y, v >= 1/2 respectively and with the same boundary conditions Eq.(2.4) y(0) = y(1) = 0 We prove that under some conditions on q(x), the following formula for traces (n=1)Sigma(infinity) (lambda(n) - mu(n)) = -2vq(0) + q(1)/4 with Eq.(2.4) holds.
Açıklama
Anahtar Kelimeler
Regularized trace, Sturm-Liouville operators
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
61
Sayı
1
