Rearrangements of functions and lower bounds for eigenvalues of differential equations

Autor:	David C. Barnes, R. P. Gilbert
Rok vydání:	1982
Předmět:	Matrix differential equation Differential equation Applied Mathematics Subject (grammar) Mathematical analysis Applied mathematics Of the form Boundary value problem Analysis Eigenvalues and eigenvectors Mathematics
Zdroj:	Applicable Analysis. 13:237-248
ISSN:	1563-504X 0003-6811
DOI:	10.1080/00036818208839395
Popis:	We are concerned with eigenvalue problems of the form subject to boundary conditions in the first case and in the second case. The eigenvalues of these systems depend on the coefficients and we denote them accordingly and . We introduce some new kinds of rearrangements of functions and relate them to those given by B. Schwarz [19]. Our main results are that if ≦0 then and if then
Databáze:	OpenAIRE
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