On nonoscillatory solutions of functional differential equations with a general deviating argument
نویسندگان
چکیده
منابع مشابه
On the Growth of Nonoscillatory Solutions for Difference Equations with Deviating Argument
The half-linear difference equations with the deviating argument Δ an|Δxn| sgn Δxn bn|xn q| sgn xn q 0 , q ∈ Z are considered. We study the role of the deviating argument q, especially as regards the growth of the nonoscillatory solutions and the oscillation. Moreover, the problem of the existence of the intermediate solutions is completely resolved for the classical half-linear equation q 1 . ...
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Sufficient conditions are found for the existence of multiparametrical families of proper oscillatory and vanishing-at-infinity solutions of the differential equation u(n)(t) = g ( t, u(τ0(t)), . . . , u(τm−1(t)) ) , where n ≥ 4, m is the integer part of 2 , g : R+ × R m → R is a function satisfying the local Carathéodory conditions, and τi : R+ → R (i = 0, . . . , m− 1) are measurable function...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1978
ISSN: 0018-2079
DOI: 10.32917/hmj/1206135559