TITLE

ON THE NUMBER OF ZEROS OF BOUNDED NONOSCILLATORY SOLUTIONS TO HIGHER-ORDER NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

AUTHOR(S)
Naito, Manabu
PUB. DATE
March 2007
SOURCE
Archivum Mathematicum;2007, Vol. 43 Issue 1, p39
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The higher-order nonlinear ordinary differential equation x(n)+ λp(t)f(x)=0, t≥a, is considered and the problem of counting the number of zeros of bounded nonoscillatory solutions x(t; λ) satisfying limt→ ∞ x(t; λ) = 1 is studied. Tile results can be applied to a singular eigenvalue problem.
ACCESSION #
25920021

 

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