Asymptotic and oscillatory behavior of nth-order half-linear dynamic equations
نویسندگان
چکیده
منابع مشابه
ASYMPTOTIC AND OSCILLATORY BEHAVIOR OF nTH–ORDER HALF–LINEAR DYNAMIC EQUATIONS
In this paper, we study the n th-order half-linear dynamic equations (x[n−1])Δ (t)+ p(t)φα[1,n−1] (x(g(t))) = 0 on an above-unbounded time scale T , where n 2 , x[i](t) := ri(t)φαi [( x[i−1] )Δ (t) ] , i = 1, . . . ,n−1, with x[0] = x, φβ (u) := |u|β sgnu , and α [i, j] := αi · · ·α j . Criteria are obtained for the asymptotics and oscillation of solutions for both even and odd order cases. Thi...
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ژورنال
عنوان ژورنال: Differential Equations & Applications
سال: 2014
ISSN: 1847-120X
DOI: 10.7153/dea-06-31