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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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Oscillation of Even-Order Neutral Delay Differential Equations [PDF]
Advances in Difference Equations, 2010 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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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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Axioms, 2022 Our interest in this article is to develop oscillation conditions for solutions of higher order differential equations and to extend recent results in the literature to differential equations of several delays.
Barakah Almarri +3 more
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New oscillation constraints for even-order delay differential equations [PDF]
Opuscula Mathematica, 2023 The purpose of this paper is to study the oscillatory properties of solutions to a class of delay differential equations of even order. We focus on criteria that exclude decreasing positive solutions.
Osama Moaaz +3 more
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Conditions for the Oscillation of Solutions to Neutral Differential Equations of Higher Order
Mathematics, 2023 In this research, we applied three techniques—the comparison technique, the Riccati technique, and the integral averages technique to analyze and establish various conditions and properties associated with the oscillatory behavior of even-order neutral ...
Maryam Al-Kandari
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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 Theorems for Advanced Differential Equations with p-Laplacian Like Operators
Mathematics, 2020 The main objective of this paper is to establish new oscillation results of solutions to a class of even-order advanced differential equations with a p-Laplacian like operator.
Omar Bazighifan, Poom Kumam
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Asymptotic behavior of even-order noncanonical neutral differential equations
Demonstratio Mathematica, 2022 In this article, we study the asymptotic behavior of even-order neutral delay differential equation (a⋅(u+ρ⋅u∘τ)(n−1))′(ℓ)+h(ℓ)u(g(ℓ))=0,ℓ≥ℓ0,{(a\cdot {(u+\rho \cdot u\circ \tau )}^{(n-1)})}^{^{\prime} }(\ell )+h(\ell )u(g(\ell ))=0,\hspace{1.0em}\ell ...
Moaaz Osama +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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