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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Generating weights for the Weil representation attached to an even order cyclic quadratic module [PDF]
We develop geometric methods to study the generating weights of free modules of vector valued modular forms of half-integral weight, taking values in a complex representation of the metaplectic group.
Candelori, Luca +2 more
core +3 more sources
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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A kind of even order Bernoulli-type operator with bivariate Shepard
It is known that an efficient method for interpolation of very large scattered data sets is the method of Shepard. Unfortunately, it reproduces only the constants.
Ruifeng Wu
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A New Approach in the Study of Oscillation Criteria of Even-Order Neutral Differential Equations
Based on the comparison with first-order delay equations, we establish a new oscillation criterion for a class of even-order neutral differential equations. Our new criterion improves a number of existing ones. An illustrative example is provided.
Osama Moaaz +2 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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On the order of a group of even order
Let \(G\) be a group of even order with a unique conjugacy class of involutions. In the paper under review the authors provide an upper bound for the order of \(G\) in terms of the centralizer \(H=C_G(t)\) of an involution \(t\) in \(G\). As an application the authors provide examples of sporadic simple groups, the groups \(Ly\) and \(Th\), whose ...
Harada, Koichiro, Miyamoto, Masahiko
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Conjugacy of Self-Adjoint Difference Equations of Even Order
We study oscillation properties of 2n-order Sturm-Liouville difference equations. For these equations, we show a conjugacy criterion using the p-criticality (the existence of linear dependent recessive solutions at ∞ and -∞).
Petr Hasil
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Oscillatory behavior of even-order nonlinear differential equations with a sublinear neutral term [PDF]
The authors present a new technique for the linearization of even-order nonlinear differential equations with a sublinear neutral term. They establish some new oscillation criteria via comparison with higher-order linear delay differential inequalities ...
John R. Graef +2 more
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