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Even-Order Pascal Tensors Are Positive-Definite
MathematicsIn this paper, we show that even-order Pascal tensors are positive-definite, and odd-order Pascal tensors are strongly completely positive. The significance of these is that our induction proof method also holds for some other families of completely ...
Chunfeng Cui, Liqun Qi, Yannan Chen
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Oscillatory Solutions to Neutral Delay Differential Equations
Mathematics, 2021 This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with neutral term β1ıΦα[ζr−1ı]′+β3ıΦα[ςξı]=0.
Fahad Alsharari +4 more
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Oscillation of even order nonlinear dynamic equations on time-scales [PDF]
Mathematica Moravica, 2022 In this paper, the authors discuss the oscillatory behavior of solutions to a class of even order nonlinear dynamic equations on time scales. The results are established by a comparison with n-th order delay dynamic inequalities or first-order delay ...
Grace Said R., Abbas Syed, Graef John R.
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Asymptotic Behavior of Solutions of Even-Order Differential Equations with Several Delays
Fractal and Fractional, 2022 The higher-order delay differential equations are used in the describing of many natural phenomena. This work investigates the asymptotic properties of the class of even-order differential equations with several delays.
Osama Moaaz, Wedad Albalawi
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On the Oscillation of Solutions of Differential Equations with Neutral Term
Mathematics, 2021 In this work, new criteria for the oscillatory behavior of even-order delay differential equations with neutral term are established by comparison technique, Riccati transformation and integral averaging method.
Fatemah Mofarreh +4 more
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Oscillation criteria for even order neutral difference equations [PDF]
Opuscula Mathematica, 2019 In this paper, we present some new sufficient conditions for oscillation of even order nonlinear neutral difference equation of the form \[\Delta^m(x_n+ax_{n-\tau_1}+bx_{n+\tau_2})+p_nx_{n-\sigma_1}^{\alpha}+q_nx_{n+\sigma_2}^{\beta}=0,\quad n\geq n_0 ...
S. Selvarangam +3 more
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Even order uniform hypergraph via the Einstein product
AKCE International Journal of Graphs and Combinatorics, 2023 We propose the algebraic connectivity of an undirected 2m-uniform hypergraph under the Einstein product. We generalize the algebraic connectivity to a directed 2m-uniform hypergraph and reveal the relationship between the vertex connectivity and the ...
Jiaqi Gu, Yimin Wei
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Oscillation Criteria for Qusilinear Even-Order Differential Equations
Mathematics, 2023 In this study, we extended and improved the oscillation criteria previously established for second-order differential equations to even-order differential equations. Some examples are given to demonstrate the significance of the results accomplished.
Mnaouer Kachout +4 more
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On the oscillatory behavior of even order neutral delay dynamic equations on time-scales
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We establish some new criteria for the oscillation of the even order neutral dynamic equation \begin{equation*} \left( a(t)\left( \left( x(t)-p(t)x(\tau (t))\right) ^{\Delta^{n-1}}\right) ^{\alpha }\right) ^{\Delta }+q(t)\left( x^{\sigma}(g(t))\right) ^{\
Said Grace +3 more
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Totally Critical Even Order Graphs
Journal of Combinatorial Theory, Series B, 1999 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 \(\text{def}(G)= \Delta(G)p- 2q\).
Hamilton, G.M. +2 more
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