Results 41 to 50 of about 9,486 (287)
Separability of the third-order differential operator given on the whole plane
In this paper, in the space L2(R2), we study a third-order differential operator with continuous coefficients in R (-∞ , +∞). Here, these coefficients can be unlimited functions at infinity.
A.O. Suleimbekova
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Mixed Problem for a Homogeneous Wave Equation with a Nonzero Initial Velocity and a Summable Potential [PDF]
For a mixed problem defined by a wave equation with a summable potential equal-order boundary conditions with a derivative and a zero initial position, the properties of the formal solution by the Fourier method are investigated depending on the ...
Kurdyumov, Vitalii Pavlovich +2 more
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A study of resolvent set for a class of band operators with matrix elements
For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
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ABSTRACT Background Embryonal tumors comprise the majority of malignant central nervous system (CNS) neoplasms diagnosed in children under 3 years of age. Compared with their counterparts in older children, these tumors exhibit distinct molecular biology and a more aggressive clinical phenotype, while their management is complicated by the heightened ...
Sudarshawn Damodharan +3 more
wiley +1 more source
A common standpoint when designing the syntax of programming languages is that the grammar definition has to be unambiguous. However, requiring up front unambiguous grammars can force language designers to make more or less arbitrary choices to disambiguate the language.
Viktor Palmkvist +3 more
openaire +3 more sources
Ewing Sarcoma in Infants and Children Under 2 Years of Age: A French Retrospective Study
ABSTRACT Ewing sarcoma, the second most common primary bone cancer in children, requires intensive treatment that may lead to significant long‐term sequelae, particularly in infants. We retrospectively analyzed data from 1621 French patients treated between 1988 and 2015 within the EW88/93/97 or EE99 trials, focusing on 17 infants diagnosed before 24 ...
Elodie Verdier +18 more
wiley +1 more source
ABSTRACT Background The Standards for Psychosocial Care for Children with Cancer and Their Families (“Standards”) are evidence‐based guidelines for psychosocial care in pediatric oncology. Care related to the three “Asking and Monitoring” Standards—Assessment of Psychosocial Needs, Assessment of Financial Needs, and Monitoring Neurocognitive Problems ...
Julia B. Tager +8 more
wiley +1 more source
Entanglement of a chiral scalar on the torus
We compute the entanglement entropy of an interval for a chiral scalar on a circle at an arbitrary temperature. We use the resolvent method, which involves expressing the entropy in terms of the resolvent of a certain operator, and we compute that ...
Nicolás Abate +4 more
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Iterative Methods for Computing the Resolvent of Composed Operators in Hilbert Spaces
The resolvent is a fundamental concept in studying various operator splitting algorithms. In this paper, we investigate the problem of computing the resolvent of compositions of operators with bounded linear operators.
Yixuan Yang, Yuchao Tang, Chuanxi Zhu
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Approximating Functions of Positive Compact Operators by Using Bell Polynomials
After recalling the most important properties of the Bell polynomials, we show how to approximate a positive compact operator by a suitable matrix. Then, we derive a representation formula for functions of the obtained matrix, which can be considered as ...
Diego Caratelli +2 more
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