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New nonoscillation criteria for delay differential equations
- Source :
-
Journal of Mathematical Analysis & Applications . Feb2004, Vol. 290 Issue 1, p1. 9p. - Publication Year :
- 2004
-
Abstract
- This paper is concerned with the nonoscillation of first order delay differential equations of the form x′(t)+p(t)x<fen><cp type="lpar" STYLE="S">τ(t)<cp type="rpar" STYLE="S"></fen>=0, t&ges;t0, where <f>p,τ∈C([t0,∞),R+)</f>, <f>R+=[0,∞)</f>, <f>τ(t)</f> is nondecreasing, <f>τ(t)<t</f> for <f>t&ges;t0</f> and <f>limt→∞τ(t)=∞</f>. New nonoscillation conditions are obtained. These conditions concern the case when the well-known nonoscillation condition <f>∫τ(t)tp(s) ds&les;1/e</f> is not satisfied. [Copyright &y& Elsevier]
- Subjects :
- *DELAY differential equations
*OSCILLATIONS
*NUMERICAL analysis
*MATHEMATICS
Subjects
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 :
- 11960622
- Full Text :
- https://doi.org/10.1016/S0022-247X(03)00486-4