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Oscillation behavior of <f>n</f>th order neutral differential equations with continuous delay
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2004, Vol. 290 Issue 1, p105. 8p. - Publication Year :
- 2004
-
Abstract
- We consider the <f>n</f>th order nonlinear neutral differential equation of the form <fen><cp type="lsqb" STYLE="S">x(t)+∫lower limit a, upper limit b p(t,μ)x<fen><cp type="lpar" STYLE="S">τ(t,μ)<cp type="rpar" STYLE="S"></fen> dμ<cp type="rsqb" STYLE="S"></fen>(n)+λ∫lower limit c, upper limit d q(t,ξ)f<fen><cp type="lpar" STYLE="S">x<fen><cp type="lpar" STYLE="S">σ(t,ξ)<cp type="rpar" STYLE="S"></fen><cp type="rpar" STYLE="S"></fen> dξ=h(t). In this paper, we obtain sufficient conditions which ensure that all solutions are either oscillatory or <f>limt→∞&z.sfnc;x(t)&z.sfnc;=∞</f> or else <f>liminft→∞&z.sfnc;x(t)&z.sfnc;=0.</f> [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 290
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 11960630
- Full Text :
- https://doi.org/10.1016/j.jmaa.2003.09.072