Estimates of Approximation Numbers, Nuclearity of the Resolvent of a Third‐Order Singular Differential Operator, and the Completeness of Its Root Vectors
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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
Second regularized trace of a differential operator of Sturm–Liouville type
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DOI: 10.1002/mma.9874
Abstract: We consider a Sturm–Liouville‐type differential operator defined on a separable Hilbert space with bounded operator coefficient and periodic boundary conditions given on a finite interval. We obtain an explicit formula which we call the second… read more here.
Keywords: operator; differential operator; second regularized; regularized trace ... See more keywords
Formula for Regularized Trace of a Second Order Differential Operator with Involution
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DOI: 10.1007/s10958-020-05126-z
Abstract: We study a second order differential operator with involution and periodic boundary conditions. We prove a formula for the regularized trace, study the asymptotic behavior of eigenvalues, and obtain an estimate for deviations of spectral… read more here.
Keywords: differential operator; second order; operator involution; formula regularized ... See more keywords
A Monte Carlo technique for sensitivity analysis of alpha-eigenvalue with the differential operator sampling method
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DOI: 10.1016/j.anucene.2018.12.012
Abstract: Abstract A method for Monte Carlo sensitivity analyses of α-eigenvalue (prompt neutron time decay constant) in a subcritical system is developed using the first-order differential operator sampling (DOS) method. The first-order derivative of α-eigenvalue with… read more here.
Keywords: monte carlo; method; differential operator; source ... See more keywords
Research on realization and optimization of communication equipment security engineering circuit for nonlinear system based on fractional differential operator.
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DOI: 10.1063/1.5085432
Abstract: Compared with integral calculus, the fractional differential operator can objectively reveal and describe the physical characteristics of the actual system. For fractional differential operator functions, sufficient conditions for stability of fractional nonlinear systems are given.… read more here.
Keywords: differential operator; circuit; fractional differential; system ... See more keywords
On the univalence of certain polyharmonic mappings under differential operator
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DOI: 10.1080/00036811.2025.2477730
Abstract: The main object of this paper is to investigate the univalence of certain polyharmonic mappings under differential operator. We first establish two versions of integral inequality for harmonic mappings. Then, using these results, we obtain… read more here.
Keywords: certain polyharmonic; differential operator; polyharmonic mappings; univalence certain ... See more keywords
The level of pairs of polynomials
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DOI: 10.1080/00927872.2020.1759614
Abstract: Abstract Given a polynomial f with coefficients in a field of prime characteristic p, it is known that there exists a differential operator that raises to its pth power. We first discuss a relation between… read more here.
Keywords: differential operator; pairs polynomials; level pairs; level ... See more keywords
New subclasses of meromorphic multivalent functions associated with a differential operator
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DOI: 10.1080/09720502.2019.1700932
Abstract: Abstract In this paper, we define and investigate a new subclass for higher _ order derivatives of meromorphic multivalent functions which are associated with a differential operator we obtained many geometric properties sharp results including… read more here.
Keywords: associated differential; multivalent functions; meromorphic multivalent; differential operator ... See more keywords
The μth order Mehler–Fock transform and allied pseudo-differential operator
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DOI: 10.1080/10652469.2024.2404049
Abstract: In this paper, a study related to the $ \mu ^{th} $ μth order Mehler–Fock transform (µMFT) is carried out. Boundedness of translation and convolution operators in Lebesgue space are obtained. Continuity of µMFT in… read more here.
Keywords: mehler fock; differential operator; fock transform; order mehler ... See more keywords
Application of the peridynamic differential operator to the solution of sloshing problems in tanks
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DOI: 10.1108/ec-12-2017-0520
Abstract: PurposeThe purpose of this paper is to apply the Peridynamic differential operator (PDDO) to incompressible inviscid fluid flow with moving boundaries. Based on the potential flow theory, a Lagrangian formulation is used to cope with… read more here.
Keywords: differential operator; problems tanks; sloshing problems; operator ... See more keywords
Inverse Problem for a Fourth-Order Differential Operator with Nonseparated Boundary Conditions
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DOI: 10.1134/s0012266118100063
Abstract: Uniqueness theorems are proved for two inverse problems for a fourth-order differential operator with nonseparated boundary conditions. The first of the problems, which has technical applications, is the problem of identification of a differential equation… read more here.
Keywords: differential operator; boundary conditions; fourth order; operator nonseparated ... See more keywords