Interval oscillation criteria for forced Emden-Fowler functional dynamic equations with oscillatory potential
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: Science China Mathematics
سال: 2012
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-012-4487-7