Oscillation theorems for second-order superlinear neutral differential equations

The purpose of this paper is to investigate the oscillation of the second-order neutral differential equations of the form (E) where z ( t ) = x ( t ) + p ( t ) x ( τ ( t )). The obtained comparison principles essentially simplify the examination of the studied equations. Further, our results extend...

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Bibliographic Details
Published inMathematica Slovaca Vol. 63; no. 1; pp. 123 - 134
Main Authors Baculíková, Blanka, Li, Tongxing, Džurina, Jozef
Format Journal Article
LanguageEnglish
Published Heidelberg SP Versita 01.02.2013
Versita
Subjects
Algebra
comparison theorem
Mathematics
Mathematics and Statistics
oscillation
Primary 34K11, 34C10
Regular Papers
second-order superlinear neutral differential equations
oscillation
second-order superlinear neutral differential equations
Primary 34K11, 34C10
comparison theorem
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Summary:The purpose of this paper is to investigate the oscillation of the second-order neutral differential equations of the form (E) where z ( t ) = x ( t ) + p ( t ) x ( τ ( t )). The obtained comparison principles essentially simplify the examination of the studied equations. Further, our results extend and improve the results in the literature.
ISSN:0139-9918
1337-2211
DOI:10.2478/s12175-012-0087-9