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Emad R. Attia, George E. Chatzarakis
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Oscillation tests for difference equations with non-monotone retarded arguments
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Emad R. Attia, George E. Chatzarakis
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Oscillations of differential equations with several non-monotone advanced arguments
Consider the first-order advanced differential equation of the form where qi, 1 ≤ i ≤ m are functions of non-negative real numbers, and σi, 1 ≤ i ≤ m are functions of positive real numbers such that σi(t) > t for t ≥ t0. New oscillation criteria, involving lim sup and lim inf, are established, in the case of non-monotone advanced arguments.
George E. Chatzarakis, Özkan Öcalan
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Oscillation of retarded difference equations with a non-monotone argument
AbstractThis paper concerns the oscillatory behaviour of the first-order retarded difference equation of the formΔx(n)+p(n)x(τ(n))=0,n∈N0,where (p(n))n≥0 is a sequence of nonnegative real numbers and τ(n) is a (not neccesarily monotone) sequence of integers such that τ(n)≤n-1, for n∈N0 and limn→∞τ(n)=∞.
George E. Chatzarakis +2 more
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Oscillation criteria for delay and difference equations with non-monotone arguments
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I. P. Stavroulakis
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Oscillation of first-order differential equations with several non-monotone retarded arguments
AbstractConsider the first-order linear differential equation with several non-monotone retarded argumentsx′(t)+∑i=1mpi(t)x(τi(t))=0{x^{\prime}(t)+\sum_{i=1}^{m}p_{i}(t)x(\tau_{i}(t))=0},t≥t0{t\geq t_{0}}, where the functionspi,τi∈C([t0,∞),ℝ+){p_{i},\tau_{i}\in C([t_{0},\infty),\mathbb{R}^{+})}, for everyi=1,2,…,m{i=1,2,\ldots,m},τi(t)≤t{\tau_{i}
Hüseyin Bereketoğlu +3 more
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A Survey on the Oscillation of Delay Equations with A Monotone or Non-monotone Argument
Consider the first-order linear differential equation $$\begin{aligned} x^{\prime }(t)+p(t)x(\tau (t))=0,\;\;\;t\ge t_{0}, \end{aligned}$$ where the functions \(p,\tau \in C([t_{0,}\infty ),\mathbb {R}^{+})\), (here \( \mathbb {R}^{+}=[0,\infty )),\tau (t)\le t\) for \(t\ge t_{0}\) and \( \lim _{t\rightarrow \infty }\tau (t)=\infty .\) A survey ...
G. M. Moremedi, I. P. Stavroulakis
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Oscillation of delay difference equations with finite non-monotone arguments
Limei Feng, Zhenlai Han
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Modeling non-monotonic properties under propositional argumentation
SPIE Proceedings, 2013In the field of knowledge representation, argumentation is usually considered as an abstract framework for nonclassical logic. In this paper, however, we'd like to present a propositional argumentation framework, which can be used to closer simulate a real-world argumentation.
Geng Wang, Zuoquan Lin
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A Survey on the Oscillation of Differential Equations with Several Non-Monotone Arguments
G. M. Moremedi, I. P. Stavroulakis
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