Results 1 to 10 of about 11,826,715 (309)
Mathematics, 2017 In this paper, some new properties of the fundamental solution to the multi-dimensional space- and time-fractional diffusion-wave equation are deduced.
Yuri Luchko
doaj +2 more sources
The fundamental solution of the unidirectional pulse propagation equation [PDF]
, 2014 The fundamental solution of a variant of the three-dimensional wave equation known as "unidirectional pulse propagation equation" (UPPE) and its paraxial approximation is obtained.
Brabec T. +5 more
core +2 more sources
Potentials for a three-dimensional elliptic equation with one singular coefficient and their application [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2021 A potential theory for a three-dimensional elliptic equation with one singular coefficient is considered. Double- and simple-layer potentials with unknown density are introduced, which are expressed in terms of the fundamental solution of the mentioned ...
Tuhtasin G. Ergashev
doaj +1 more source
Antibiotics, 2022 Infectious diseases caused by various nosocomial microorganisms affect worldwide both immunocompromised and relatively healthy persons. Bacteria and fungi have different tools to evade antimicrobials, such as hydrolysis damaging the drug, efflux systems,
Ruba Y. Mahmoud +13 more
doaj +1 more source
Inorganics, 2023 The synthesis of new fluorescent probes, based on biocompatible luminophors and exhibiting various specificities, is intensively developed worldwide. Many luminophors contain a hydrophobic group that limits their application for cell staining under vital
Galina B. Guseva +12 more
doaj +1 more source
Boundary value problem for the four-dimensional Gellerstedt equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this work, the solvability of the problem with Neumann and Dirichlet boundary conditions for the Gellerstedt equation in four variables is investigated. The energy integral method is used to prove the uniqueness of the solution to the problem.
A.S. Berdyshev, A.R. Ryskan
doaj +1 more source
Diffusion source function identification in the process of gas seepage in a coal seam
Frontiers in Earth Science, 2022 Through piecewise linearization, the control equation of gas migration in coal is simplified to a parabolic differential equation with time-dependent source terms, and under the corresponding initial conditions, boundary and additional conditions are ...
Fu Lv +4 more
doaj +1 more source
An enhanced BEM approach applied to potential problems: a comparative study [PDF]
Numerical Methods in Civil Engineering, 2020 In the present paper, a hybrid analytical/numerical method capable of integrating singular logarithmic functions, as an essential part of the Boundary Element Method (BEM) process, is presented.
Parham Azhir +3 more
doaj +1 more source
THE DIRICHLET PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION OF THE SECOND ORDER WITH THE OPERATOR OF DISTRIBUTED DIFFERENTIATION [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 In this paper, we study a linear ordinary differential equation of the second order with operator of continuously distributed differentiation, and for him we study the two-point boundary value problem by the Green’s function method. A special function is
B. I. Efendiev
doaj +1 more source
Mathematics, 2022 The solvability issues of counterpart Holmgren’s boundary value problem with mixed conditions for a degenerate four-dimensional second-order Gellerstedt equation Hu≡ymzktluxx+xnzktluyy+xnymtluzz+xnymzkutt=0, m,n,k,l≡const>0, are studied in the finite ...
Zharasbek Baishemirov +2 more
doaj +1 more source