Results 21 to 30 of about 477,941 (281)

Quaternionic differential operators

, 2001
Motivated by a quaternionic formulation of quantum mechanics, we discuss quaternionic and complex linear differential equations. We touch only a few aspects of the mathematical theory, namely the resolution of the second order differential equations with
Adler, Adler, Adler, Adler, Adler, Adler, Adler, Aslaksen, Baker, Brand, Brenner, Brenner, Chen, Cohen, Davies, Davies, Davies, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, De Leo, Dieudonné, Dray, Dray, Dray, Dray, Dyson, Eilenberg, Finkelstein, Finkelstein, Finkelstein, Gisele Ducati, Horwitz, Niven, Niven, Rembieliński, Rotelli, Scolarici, Scolarici, Stefano De Leo, Study, Zhang   +51 more
core   +3 more sources

Symbolic Method for Solving Nonlocal Boundary Value Problems for Systems of Ordinary Loaded Integro-Differential Equations

Mathematics
A 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, Ioannis N. Parasidis, Jeyhun E. Musayev   +2 more
doaj   +1 more source

Closed-Form Solutions of Linear Ordinary Differential Equations with General Boundary Conditions

Axioms, 2021
This paper deals with the solution of boundary value problems for ordinary differential equations with general boundary conditions. We obtain closed-form solutions in a symbolic form of problems with the general n-th order differential operator, as well ...
Efthimios Providas, Stefanos Zaoutsos, Ioannis Faraslis   +2 more
doaj   +1 more source

Weak and strong type estimates for multilinear Calderón–Zygmund operators on differential forms

Journal of Inequalities and Applications, 2021
In this paper, we define the multilinear Calderón–Zygmund operators on differential forms and prove the end-point weak type boundedness of the operators.
Xuexin Li, Yuming Xing, Jinling Niu
doaj   +1 more source

The structure of Gelfand-Levitan-Marchenko type equations for Delsarte transmutation operators of linear multi-dimensional differential operators and operator pencils. Part 1

, 2004
An analog of Gelfand-Levitan-Marchenko integral equations for multi- dimensional Delsarte transmutation operators is constructed by means of studying their differential-geometric structure based on the classical Lagrange identity for a formally ...
Chern S.S., Danford N., De Rham G., Godbillon C., Teleman R., Warner F.   +5 more
core   +2 more sources

Invariant bilinear differential operators

, 2005
I classified bilinear differential operators acting in the spaces of tensor fields on any real or complex manifold and invariant with respect to the diffeomorphisms in 1980.
Grozman, Pavel
core   +2 more sources

Why and When Are Evidence‐Based Interventions Adopted in Paediatric Supportive Care? A Qualitative Exploration of the Determinants of Photobiomodulation Implementation

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Oral mucositis is a common and debilitating side effect of childhood cancer and stem cell transplant treatments. It affects the quality of life of children and young people (CYP) and places a strain on services. Photobiomodulation is recommended for oral mucositis prevention in international guidance but is poorly implemented in UK ...
Claudia Heggie, Kara A. Gray‐Burrows, Peter F. Day, Bob Phillips, Carl A. Thompson   +4 more
wiley   +1 more source

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 ...
openaire   +2 more sources

Clinical Insights Into Hypercalcemia of Malignancy in Childhood

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Hypercalcemia of malignancy (HCM) is a rare but life‐threatening metabolic emergency in children that occurs in less than 1% of pediatric cancer cases, with a reported incidence ranging from 0.4% to 1.0% across different studies. While it is observed in 10%–20% of adult malignancies, pediatric HCM remains relatively uncommon.
Hüseyin Anıl Korkmaz
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, Gall Lidia, Gall Nikolaj, Solovyev Konstantin   +3 more
doaj   +1 more source