Results 21 to 30 of about 32,830 (265)
MathematicsA symbolic method is presented for examining the solvability and constructing the exact solution to boundary value problems for systems of linear ordinary loaded differential equations and loaded integro-differential equations with nonlocal boundary ...
Efthimios Providas +2 more
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Relatively bounded and compact perturbations of nth order differential operators
International Journal of Mathematics and Mathematical Sciences, 1998 A perturbation theory for nth order differential operators is developed. For certain classes of operators L, necessary and sufficient conditions are obtained for a perturbing operator B to be relatively bounded or relatively compact with respect to L ...
Terry G. Anderson
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GMRES for the Differentiation Operator [PDF]
SIAM Journal on Numerical Analysis, 2009 We investigate using the gmres method with the differentiation operator. This operator is unbounded and thus does not fall into the framework of existing Krylov subspace theory. We establish conditions under which a function can be approximated by its own derivatives in a domain of the complex plane.
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Hyponormal differential operators with discrete spectrum [PDF]
Opuscula Mathematica, 2010 In this work, we first describe all the maximal hyponormal extensions of a minimal operator generated by a linear differential-operator expression of the first-order in the Hilbert space of vector-functions in a finite interval.
Zameddin I. Ismailov, Erdal Unluyol
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Some Families of Differential Equations Associated with Multivariate Hermite Polynomials
Fractal and Fractional, 2023 In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using the factorization approach. Families of differential equations, including differential, integro–differential, and partial differential ...
Badr Saad T. Alkahtani +2 more
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Operator Differentiable Functions
Publications of the Research Institute for Mathematical Sciences, 2000 We study the Banach {}^* -algebra C^1_{\mathrm{op}}(I) of C^1 -functions on the ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Fertility preservation (FP) is increasingly integrated into the care of pediatric patients exposed to gonadotoxic therapy or conditioning for hematopoietic stem cell transplantation (HSCT), yet perioperative data in infants and toddlers remain scarce.
Kerstin Saalabian +13 more
wiley +1 more source
On the best approximation of the differentiation operator [PDF]
Ural mathematical journal, 2015 Summary: In this paper we give a solution of the problem of the best approximation in the uniform norm of the differentiation operator of order \(k\) by bounded linear operators in the class of functions with the property that the Fourier transforms of their derivatives of order \(n ...
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Personalized Zebrafish Models for Fusion‐Positive Pediatric Sarcomas
Pediatric Blood &Cancer, EarlyView.ABSTRACT Clinical sequencing efforts have revolutionized our approaches to categorizing pediatric cancers in real time. This has dramatically improved our ability to profile pediatric tumors, identify actionable vulnerabilities, and influence clinical care.
Lisa H. Hall +2 more
wiley +1 more source
BASIC DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS
St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2019 It is shown that there are the differential operators that transform three-dimensional homogeneous harmonic functions into new three-dimensional homogeneous harmonic functions.
Berdnikov Alexander +3 more
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