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The Coming Multi-Order World [PDF]
The article shows that the current international system is changing towards a completely new form of international system, conceptualized as a multi-order system. The suggestion for a multi-order world stands in contrast to three current narratives about
Flockhart, Trine
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Oscillation criteria for even order nonlinear neutral differential equations
In this paper, we consider the oscillation criteria for even order nonlinear neutral differential equations of the form $$ \left(r(t)z^{(n-1)}(t)\right)'+q(t)f(x(\sigma(t)))=0, $$ where $z(t)=x(t)+p(t)x(\tau(t)),$ $n\geq2$ is a even integer.
Yibing Sun +3 more
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Even Order Half-Linear Differential Equations with Regularly Varying Coefficients
We establish nonoscillation criterion for the even order half-linear differential equation (−1)nfn(t)Φx(n)(n)+∑l=1n(−1)n−lβn−lfn−l(t)Φx(n−l)(n−l)=0, where β0,β1,…,βn−1 are real numbers, n∈N, Φ(s)=sp−1sgns for s∈R, p∈(1,∞) and fn−l is a regularly varying (
Vojtěch Růžička
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Some Oscillation Results for Even-Order Differential Equations with Neutral Term
The objective of this work is to study some new oscillation criteria for even-order differential equation with neutral term rxzn−1xγ′+qxyγζx=0. By using the Riccati substitution and comparison technique, several new oscillation criteria are obtained for ...
Maryam Al-Kandari, Omar Bazighifan
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Oscillation results for even order functional dynamic equations on time scales
By employing a generalized Riccati type transformation and the Taylor monomials, some new oscillation criteria for the even order functional dynamic equation \begin{equation*} \left( r(t)\left\vert x^{\Delta ^{n-1}}(t)\right\vert ^{\alpha -1}x^{\Delta ...
Ercan Tunç
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Generalized hexagons of even order
The paper is concerned with properties of generalized polygons introduced by \textit{J. Tits} [Publ. Math., Inst. Haut. Etud. Sci. 2, 13--60 (1959; Zbl 0088.37204)] and extended by \textit{W. M. Kantor} [Lect. Notes Math. 1181, 79--158 (1986; Zbl 0599.51015)].
Cohen, A.M., Cooperstein, B.N.
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Oscillation of Even-Order Neutral Delay Differential Equations
By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations , , where is even, , , and .
Zhao Ping +3 more
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The Krein-von Neumann extension of a regular even order quasi-differential operator [PDF]
We characterize by boundary conditions the Krein-von Neumann extension of a strictly positive minimal operator corresponding to a regular even order quasi-differential expression of Shin-Zettl type.
Minsung Cho +3 more
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\textit{O. Chein} [Trans. Am. Math. Soc. 188, No. 2, 31-51 (1974; Zbl 0263.20007)] and \textit{M. Purtill} [J. Algebra 112, 122-128 (1988; Zbl 0644.20040)] investigated Moufang loops \(L\) of even order \(n\) and proved that \(L\) are groups if \(n = 2^ k\) \((0 \leq k \leq 4)\) or \(n = 2p\) (\(p\) is any prime) or \(n = 2p^ 2\).
Fook, L., Eng, T.P.
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Totally Critical Even Order Graphs
A connected graph \(G\) is totally critical if its total chromatic number is at least two more than its maximum degree and is reduced by the removal of an arbitrary edge. Let \(G(p,q)\) have maximum degree \(\Delta(G)\); the deficiency of \(G\) is given by \(\text{def}(G)= \Delta(G)p- 2q\).
G. M. Hamilton +2 more
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