Results 141 to 150 of about 320,872 (183)

Properties of one higher order matrix-differential operator

Russian Universities Reports. Mathematics, 2022
The article considers a linear matrix-differential operator of the n-th order of the form A^n. For it and for the operator (A ̃^(-1) )^n, an analytical expression is derived, for which an operator analog of the Newton binomial is obtained. A lemma on the solution of a linear equation is given.
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IMAGES OF HIGHER-ORDER DIFFERENTIAL OPERATORS OF POLYNOMIAL ALGEBRAS

Bulletin of the Australian Mathematical Society, 2017
We investigate images of higher-order differential operators of polynomial algebras over a field $k$. We show that, when $\operatorname{char}k>0$, the image of the set of differential operators $\{\unicode[STIX]{x1D709}_{i}-\unicode[STIX]{x1D70F}_{i}\mid i=1,2,\ldots ,n\}$ of the polynomial algebra $k[\unicode[STIX]{x1D709}_{1},\ldots ,\unicode[STIX]
DAYAN LIU, XIAOSONG SUN
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A trace formula for higher order ordinary differential operators

Sbornik: Mathematics, 2021
Abstract We obtain a first-order trace formula for a higher order differential operator on a closed interval in the case where the perturbation operator is the operator of multiplication by a finite complex-valued charge. For operators of even orders
Gal'kovskii, Egor D., Nazarov, Alexander I.   +1 more
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Hardy space estimates for higher order differential operators

Indiana University Mathematics Journal, 2001
The authors generalize a theorem by \textit{R. Coifman, P. L. Lions, Y. Meyer} and \textit{S. Semmes} [ J. Math. Pures Appl., IX. Sér. 72, 247--286 (1993; Zbl 0864.42009)]{} to higher-order differential operators. Moreover, they prove a duality inequality which is a particular case of the \(H^1\)-BMO duality.
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Regularized traces of higher-order singular differential operators

Mathematical Notes, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kozko, A. I., Pechentsov, A. S.
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Higher-order Differential Operators in $$L^p$$

2014
In previous sections we have found conditions for the \(L^p\)-dissipativity of secondorder scalar equations and systems. One can ask whether these results hold for higher-order operators. In this chapter it is proved that the answer is negative.
Alberto Cialdea, Vladimir Maz’ya
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Existence and Completeness of the Wave Operators for Higher Order Differential Operators

International Journal of Theoretical Physics, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khater, A. H., Saif, M. S., El Rashidy, K.   +2 more
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SPECTRAL THEORY OF HIGHER ORDER DIFFERENTIAL OPERATORS

Proceedings of the London Mathematical Society, 2005
The absolutely continuous spectrum of a very general class of differential operators of order $2n$ is determined, for operators whose coefficients satisfy conditions that combine smoothness and decay properties. The main methods are asymptotic integration and the analysis of the associated $M$-matrix.
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Spectral analysis of higher order differential operators with unbounded coefficients

Mathematische Nachrichten, 2011
AbstractHigher even order linear differential operators with unbounded coefficients are studied. For these operators the eigenvalues of the characteristic polynomials fall into distinct classes or clusters. Consequently the spectral properties, deficiency indices and spectra, of the underlying differential operators are superpositions of the ...
Behncke, Horst, Nyamwala, Fredrick Oluoch   +1 more
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Higher order natural differential operators on riemann surfaces

Complex Variables, Theory and Application: An International Journal, 1992
In this paper we continue the study of the elliptic differential operators with constant coefticients on two-dimensional domains, z=x+iy, in a Mobius or projectively invariant setting initiated in |5|. In particular we propose to study these operators in the general context of sheaf cohomology.
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