Zeros of the Green's function for the de la Vallee-Poussin problem
Journal Article
·
· Sbornik. Mathematics
- Voronezh State University, Voronezh (Russian Federation)
The Green's function for the de la Vallee-Poussin problem Lx{identical_to}x{sup (n)}+p{sub 1}(t)x{sup (n-1)}+...+p{sub n}(t)x=f; x(a{sub i})=A{sub i}{sup (0)}, x'(a{sub i})=A{sub i}{sup (1)},...,x{sup ({nu}{sub 1}-1)}(a{sub i})=A{sub i}{sup ({nu}{sub 1}-1)}, i=1,...,m, where a=a{sub 1}<a{sub 2}<...<a{sub m}=b, m>=2, {sigma}{nu}{sub i}=n, p{sub i}(.) and f(.) element of L{sub 1}[a,b] is investigated. It is defined in the square a<=t,s<=b, and vanishes at the lines t=a{sub i}, i=1,...,m, s=b; it is proved that the orders of its zeros have uniform bounds. Bibliography: 27 titles.
- OSTI ID:
- 21096782
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 6 Vol. 199; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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