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New Oscillation Criteria for Second-Order Delay Differential Equations with Mixed Nonlinearities.

Authors :
Yuzhen Bai
Lihua Liu
Source :
Discrete Dynamics in Nature & Society; 2010, Special section p1-9, 9p
Publication Year :
2010

Abstract

We establish new oscillation criteria for second-order delay differential equations with mixed nonlinearities of the form Due to image rights restrictions, multiple line equation(s) cannot be graphically displayed. are continuous functions defined on [0, ∞), and p(t) > 0, p'(t) ≥ 0, and a<subscript>1</subscript> >…> α<subscript>m</subscript> > α <subscript>m+1</subscript> >…> α <subscript>n</subscript> > 0. No restriction is imposed on the potentials p<subscript>i</subscript>(t), q<subscript>i</subscript>(t), and e(t) to be nonnegative. These oscillation criteria extend and improve the results given in the recent papers. An interesting example illustrating the sharpness of our results is also provided. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10260226
Database :
Complementary Index
Journal :
Discrete Dynamics in Nature & Society
Publication Type :
Academic Journal
Accession number :
64145444
Full Text :
https://doi.org/10.1155/2010/796256