On a Problem for a Quasi-Linear Equation of Even Order
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DOI: 10.1007/s10958-019-04434-3
Abstract: We study a boundary-value problem for a quasi-linear equation of even order with periodic boundary conditions. We prove the existence and uniqueness of a weak generalized solution. read more here.
Keywords: problem quasi; linear equation; equation even; quasi linear ... See more keywords
Nonlocal Multipoint Problem for Partial Differential Equations of Even Order with Constant Coefficients
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DOI: 10.1007/s10958-020-04945-4
Abstract: For a partial differential equation of even order with constant coefficients, in a bounded domain G, we study a problem with boundary conditions in the form of multipoint perturbations of the Neumann conditions by using… read more here.
Keywords: constant coefficients; partial differential; order constant; problem ... See more keywords
Many Frobenius complements have even order
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DOI: 10.1080/00927872.2021.1979025
Abstract: Frobenius groups play a significant role in the theory of finite groups, and, in particular, in the study of simple groups. For example it is not unusual in finite group theory that a proof analyzing… read more here.
Keywords: frobenius complements; order; theory; frobenius groups ... See more keywords
On the Oscillation of Even-Order Nonlinear Differential Equations with Mixed Neutral Terms
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DOI: 10.1155/2021/4403821
Abstract: The oscillation of even-order nonlinear differential equations (NLDiffEqs) with mixed nonlinear neutral terms (MNLNTs) is investigated in this work. New oscillation criteria are obtained which improve, extend, and simplify the existing ones in other previous… read more here.
Keywords: oscillation even; nonlinear differential; oscillation; differential equations ... See more keywords
Simultaneous excitations of odd and even order resonances in plasmonic metasurfaces for an orthogonal terahertz probe.
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DOI: 10.1364/ao.465207
Abstract: Most of the compelling phenomena pertaining to plasmonic metamaterials revolve around the associated odd and even order resonances. However, excitation of odd and even order modes is polarization sensitive, particularly in the case of well-accepted… read more here.
Keywords: odd even; order resonances; even order; plasmonic metasurfaces ... See more keywords
New Comparison Results for Oscillation of Even-Order Delay Differential Equations
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DOI: 10.3390/sym14050946
Abstract: In this paper, we obtain new monotonic properties for positive solutions of even-order delay differential equations in the non-canonical case. Using these properties, we establish a new oscillation criterion for solutions by comparison with an… read more here.
Keywords: even order; delay differential; differential equations; order ... See more keywords
Spectral Solutions of Even-Order BVPs Based on New Operational Matrix of Derivatives of Generalized Jacobi Polynomials
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DOI: 10.3390/sym15020345
Abstract: The primary focus of this article is on applying specific generalized Jacobi polynomials (GJPs) as basis functions to obtain the solution of linear and non-linear even-order two-point BVPs. These GJPs are orthogonal polynomials that are… read more here.
Keywords: generalized jacobi; jacobi polynomials; even order; operational matrix ... See more keywords
New Comparison Theorems to Investigate the Asymptotic Behavior of Even-Order Neutral Differential Equations
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DOI: 10.3390/sym15051126
Abstract: Based on a comparison with first-order equations, we obtain new criteria for investigating the asymptotic behavior of a class of differential equations with neutral arguments. In this work, we consider the non-canonical case for an… read more here.
Keywords: even order; asymptotic behavior; differential equations; order ... See more keywords
Improved Oscillation Theorems for Even-Order Quasi-Linear Neutral Differential Equations
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DOI: 10.3390/sym15051128
Abstract: In this study, our goal was to establish improved inequalities that enhance the asymptotic and oscillatory behaviors of solutions to even-order neutral differential equations. In the oscillation theory of neutral differential equations, the connection between… read more here.
Keywords: neutral differential; even order; oscillation; differential equations ... See more keywords
Even-order high-harmonic generation from solids in velocity gauge
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DOI: 10.3788/col202119.043201
Abstract: We present a velocity-gauge model for the generation of even-order high harmonics, and reveal that the even-order harmonics originate from the multiple-step transitions among the energy bands in momentum space, while the odd-order harmonics are… read more here.
Keywords: generation; order; harmonics; order high ... See more keywords