Oscillation for nonlinear delay difference equations

By X. Tang. 2000

48 citations recorded by the source corpus.

The oscillatory behavior of the first order nonlinear delay difference equation of the form $$ x_{n+1} - x_n + p_n x_{n-k}^{\alpha} = 0, ~~~ n = 0, 1, 2, \ldots ~~~~~~~ \eqno{(*)} $$ is investigated. A necessary and sufficient condition of oscillation for sublinear equation (*) ($ 0 1 $) are obtained.

Subfields: Applied Mathematics, Numerical Analysis, Public Health, Environmental and Occupational Health

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