Oscillation criteria for a generalized Emden-Fowler dynamic equation on time scales
نویسندگان
چکیده
منابع مشابه
Oscillation Criteria for Some New Generalized Emden-Fowler Dynamic Equations on Time Scales
and Applied Analysis 3 Theorem 4. Assume that (H 1 )–(H 6 ) and (7) hold. If there exists a function ξ(t) ∈ C rd(T , (0,∞)) such that for any positive numberM, lim t→∞ ∫ t t0 (ξ (s) p (s) − Q (s)) Δs = ∞, (12) where p (s) = q (s) [1 − p (δ (s))] β , Q (s) = αM(R (σ (s))) α−β r (δ (s)) ((ξ Δ (s)) + ) α+1 (α + 1) α+1 βξ (s) (δ (s)) α , (ξ Δ (s)) + := max {ξΔ (s) , 0} , (13) then (1) is oscillator...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2016
ISSN: 1687-1847
DOI: 10.1186/s13662-015-0701-6