Oscillation criterion for half-linear differential equations with periodic coefficients
نویسندگان
چکیده
منابع مشابه
Conditional Oscillation of Half-linear Differential Equations with Periodic Coefficients
We show that the half-linear differential equation (∗) [ r(t)Φ(x′) ]′ + s(t) tp Φ(x) = 0 with α-periodic positive functions r, s is conditionally oscillatory, i.e., there exists a constant K > 0 such that (∗) with γs(t) tp instead of s(t) tp is oscillatory for γ > K and nonoscillatory for γ < K.
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*Correspondence: [email protected] Department of Mathematics and Statistics, Masaryk University, Kotlářská 2, Brno, 611 37, Czech Republic Abstract We investigate perturbed second order Euler type half-linear differential equations with periodic coefficients and with the perturbations given by the finite sums of periodic functions which do not need to have any common period. Our main interest ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2012
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.03.020