Results 1 to 10 of about 16,692 (166)

Reconstruction of Higher-Order Differential Operators by Their Spectral Data

Mathematics, 2022
This paper is concerned with inverse spectral problems for higher-order (n>2) ordinary differential operators. We develop an approach to the reconstruction from the spectral data for a wide range of differential operators with either regular or ...
Natalia P. Bondarenko
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Inverse Spectral Problems for Arbitrary-Order Differential Operators with Distribution Coefficients

Mathematics, 2021
In this paper, we propose an approach to inverse spectral problems for the n-th order (n≥2) ordinary differential operators with distribution coefficients.
Natalia P. Bondarenko
doaj   +3 more sources

Oscillation and spectral properties of some classes of higher order differential operators and weighted $n$th order differential inequalities

Electronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper, we obtain strong oscillation and non-oscillation conditions for a class of higher order differential equations in dependence on an integral behavior of its coefficients in a neighborhood of infinity.
Aigerim Kalybay, Ryskul. Oinarov, Yaudat Sultanaev   +2 more
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Local Solvability and Stability of an Inverse Spectral Problem for Higher-Order Differential Operators

Mathematics, 2023
In this paper, we, for the first time, prove the local solvability and stability of an inverse spectral problem for higher-order (n>3) differential operators with distribution coefficients.
Natalia P. Bondarenko
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Necessary and Sufficient Conditions for Solvability of an Inverse Problem for Higher-Order Differential Operators

Mathematics, 2023
We consider an inverse spectral problem that consists in the recovery of the differential expression coefficients for higher-order operators with separate boundary conditions from the spectral data (eigenvalues and weight numbers).
Natalia P. Bondarenko
doaj   +1 more source

Notes on Higher-Spin Diffeomorphisms

Universe, 2021
Higher-spin diffeomorphisms are to higher-order differential operators what diffeomorphisms are to vector fields. Their rigorous definition is a challenging mathematical problem which might predate a better understanding of higher-spin symmetries and ...
Xavier Bekaert
doaj   +1 more source

Transcendence and the Expression of the Spectral Series of a Class of Higher Order Differential Operators

Mathematics, 2023
In this paper, a relationship between the spectral zeta series of a class of higher order self-adjoint differential operators on the unit circle and the integral of Green functions is established by Mercer’s Theorem.
Bing Xie, Jing Li, Jiangang Qi
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Existence of Positive Solutions for a Higher-Order Fractional Differential Equation with Multi-Term Lower-Order Derivatives

Mathematics, 2021
This paper deals with the study of the existence of positive solutions for a class of nonlinear higher-order fractional differential equations in which the nonlinear term contains multi-term lower-order derivatives.
Weiwei Liu, Lishan Liu
doaj   +1 more source

HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS [PDF]

Journal of the Institute of Mathematics of Jussieu, 2019
We establish the following results on higher order ${\mathcal{S}}^{p}$-differentiability, $1<p<\infty$, of the operator function arising from a continuous scalar function $f$ and self-adjoint operators defined on a fixed separable Hilbert space:(i)$f$ is $n$ times continuously Fréchet ${\mathcal{S}}^{p}$-differentiable at every bounded self ...
Christian Le Merdy, Anna Skripka
openaire   +3 more sources

Resolvent Convergence for Differential–Difference Operators with Small Variable Translations

Mathematics, 2023
We consider general higher-order matrix elliptic differential–difference operators in arbitrary domains with small variable translations in lower-order terms.
Denis Ivanovich Borisov, Dmitry Mikhailovich Polyakov   +1 more
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