Estimates of Approximation Numbers, Nuclearity of the Resolvent of a Third‐Order Singular Differential Operator, and the Completeness of Its Root Vectors
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10763
Abstract: In this paper, we examine a third‐order singular differential operator in the space L2(ℝ)$$ {L}_2\left(\mathbb{R}\right) $$ , with a coefficient which is a continuous function on ℝ=−∞,∞$$ \mathbb{R}=\left(-\infty, \kern3.0235pt \infty \right) $$ and exhibits potential… read more here.
Keywords: order singular; operator; third order; differential operator ... See more keywords
Dynamic Analysis and Optimal Control of a Fractional Order Singular Leslie-Gower Prey-Predator Model
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DOI: 10.1007/s10473-020-0520-z
Abstract: In this article, we investigate a fractional-order singular Leslie-Gower prey-predator bioeconomic model, which describes the interaction between populations of prey and predator, and takes into account the economic interest. We firstly obtain the solvability condition… read more here.
Keywords: order; prey predator; fractional order; order singular ... See more keywords
Positive piecewise pseudo-almost periodic solutions of first-order singular differential equations with impulses
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DOI: 10.1007/s11784-017-0438-9
Abstract: This paper is concerned with a kind of first-order singular differential equations with impulses. The main purpose of this paper is to study the existence, uniqueness, and globally exponential stability of the positive piecewise pseudo-almost… read more here.
Keywords: equations impulses; first order; order singular; positive piecewise ... See more keywords
Denoise diffusion-weighted images using higher-order singular value decomposition
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DOI: 10.1016/j.neuroimage.2017.04.017
Abstract: &NA; Noise usually affects the reliability of quantitative analysis in diffusion‐weighted (DW) magnetic resonance imaging (MRI), especially at high b‐values and/or high spatial resolution. Higher‐order singular value decomposition (HOSVD) has recently emerged as a simple,… read more here.
Keywords: diffusion; hosvd; patch; order singular ... See more keywords
Using Higher-Order Singular Value Decomposition To Define Weakly Coupled and Strongly Correlated Clusters: The n-Body Tucker Approximation.
Sign Up to like & getrecommendations! Published in 2017 at "Journal of chemical theory and computation"
DOI: 10.1021/acs.jctc.7b00696
Abstract: An approximate wave function ansatz is presented which describes low-energy states of a highly clustered molecular system as a linear combination of multiple reduced-rank tensors. Using the Tucker decomposition as a way to obtain local… read more here.
Keywords: approximation; order singular; higher order; decomposition ... See more keywords
Kalman filtering for discrete-time linear fractional-order singular systems
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DOI: 10.1049/iet-cta.2017.0898
Abstract: This study considers the optimal linear estimation problem for the discrete-time stochastic fractional-order system in its more general formulation. The system is allowed to be in singular form, rectangular, with dynamical and measurement noises correlated.… read more here.
Keywords: discrete time; fractional order; order singular; time ... See more keywords
Admissible and dissipative synchronisation of fractional order singular systems with time delay using event-triggered feedback control
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DOI: 10.1080/00207721.2024.2376737
Abstract: The purpose of this work is to study the admissible and dissipative synchronisation of fractional order singular systems with time delay. The key goal is to use as few network resources as possible while retaining… read more here.
Keywords: fractional order; event triggered; synchronisation; singular systems ... See more keywords
An Effective Approximation Algorithm for Second-Order Singular Functional Differential Equations
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DOI: 10.3390/axioms11030133
Abstract: In this research study, a novel computational algorithm for solving a second-order singular functional differential equation as a generalization of the well-known Lane–Emden and differential-difference equations is presented by using the Bessel bases. This technique… read more here.
Keywords: singular functional; effective approximation; order singular; second order ... See more keywords