Results 11 to 20 of about 320,872 (183)
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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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
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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
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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
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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 +1 more
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A Variable Order Fractional Differential-Based Texture Enhancement Algorithm with Application in Medical Imaging. [PDF]
PLoS ONE, 2015 Texture enhancement is one of the most important techniques in digital image processing and plays an essential role in medical imaging since textures discriminate information.
Qiang Yu +3 more
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Higher-Order Symmetries of a Time-Fractional Anomalous Diffusion Equation
Mathematics, 2021 Higher-order symmetries are constructed for a linear anomalous diffusion equation with the Riemann–Liouville time-fractional derivative of order α∈(0,1)∪(1,2).
Rafail K. Gazizov +1 more
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Formal Factorization of Higher Order Irregular Linear Differential Operators [PDF]
Arnold Mathematical Journal, 2018 We study the problem of decomposition (non-commutative factorization) of linear ordinary differential operators near an irregular singular point. The solution (given in terms of the Newton diagram and the respective characteristic numbers) is known for quite some time, though the proofs are rather involved.
Leanne Mezuman, Sergei Yakovenko
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Dualities and Asymptotic Mixtures Using Functional-Order Differentiation
AppliedMath, 2022 New definitions for fractional integro-differential operators are presented and referred to as delayed fractional operators. It is shown that delayed fractional derivatives give rise to the notion of functional order differentiation.
Aris Alexopoulos
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Alexandria Engineering Journal, 2021 Electrochemical double layer capacitors accumulate charges electrostatically and are the unique electrical storage device that can store much more energy than conventional capacitors.
Kashif Ali Abro +3 more
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