Oscillation of second-order Emden–Fowler neutral delay dynamic equations on time scales

Several oscillation criteria are established for the second-order Emden–Fowler neutral delay dynamic equation ( r ( t ) | x Δ ( t ) | λ − 1 x Δ ( t ) ) Δ + f ( t , y ( δ ( t ) ) ) = 0 on an arbitrary time scale T , where x ( t ) ≔ y ( t ) + p ( t ) y ( τ ( t ) ) and λ > 0 is a constant. The resul...

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Bibliographic Details
Published in:Mathematical and computer modelling 2010-05, Vol.51 (9), p.1221-1229
Main Author: Chen, Da-Xue
Format: Article
Language:English
Subjects:
Emden–Fowler
Exact sciences and technology
Mathematical analysis
Mathematics
Methods of scientific computing (including symbolic computation, algebraic computation)
Neutral delay dynamic equation
Numerical analysis. Scientific computation
Oscillation
Sciences and techniques of general use
Second-order
Time scale
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Summary:Several oscillation criteria are established for the second-order Emden–Fowler neutral delay dynamic equation ( r ( t ) | x Δ ( t ) | λ − 1 x Δ ( t ) ) Δ + f ( t , y ( δ ( t ) ) ) = 0 on an arbitrary time scale T , where x ( t ) ≔ y ( t ) + p ( t ) y ( τ ( t ) ) and λ > 0 is a constant. The results obtained here extend and improve some known results in the literature. Some examples illustrating our main results are also included.
ISSN:0895-7177
1872-9479
DOI:10.1016/j.mcm.2010.01.004