Forced oscillation of second order nonlinear dynamic equations on time scales
نویسندگان
چکیده
منابع مشابه
Oscillation of Forced Second Order Dynamic Equations on Time Scales
In this paper, by introducing a nonnegative kernel function H(t, s), some oscillation criteria for a forced second-order dynamic equation on time scales are given. AMS Subject Classifications: 34K11, 34C10, 93C70.
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In this paper, by defining a class of functions, we establish some oscillation criteria for the second order nonlinear dynamic equations with forced term x (t) + a(t)f(x(q(t))) = e(t) on a time scale T. Our results unify the oscillation of the second order forced differential equation and the second order forced difference equation. An example is considered to illustrate the main results.
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and Applied Analysis 3 provided this limit exists. A function f : T → R is said to be rd-continuous provided f is continuous at right-dense points and there exists a finite left limit at all left-dense points in T .The set of all such rd-continuous functions is denoted by Crd(T).The derivativef Δ off and the forward jump operator σ are related by the formula f σ (t) = f (σ (t)) = f (t) + μ (t) ...
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ژورنال
عنوان ژورنال: Electronic Journal of Qualitative Theory of Differential Equations
سال: 2008
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2008.1.36