Results 41 to 50 of about 822,876 (350)
Differential-Operator Approximations to the Linear Boltzmann Equation [PDF]
Journal of Mathematical Physics, 1960 A measure of deviation from equilibrium of an ensemble of particles is proposed, which is physically appropriate and of especially simple form when expressed in terms of the expansion coefficients of the ensemble distribution function with respect to the system of orthogonal polynomials obtained by using the equilibrium distribution function as weight ...
openaire +3 more sources
Fractional Evolution Equations Governed by Coercive Differential Operators [PDF]
Abstract and Applied Analysis, 2009 This paper is concerned with evolution equations of fractional order Dαu(t) = Au(t); u(0) = u0, u′(0) = 0, where A is a differential operator corresponding to a coercive polynomial taking values in a sector of angle less than π and 1 < α < 2. We show that such equations are well posed in the sense that there always exists an α‐times resolvent ...
Li, Fu-Bo, Li, Miao, Zheng, Quan
openaire +4 more sources
Известия Иркутского государственного университета: Серия "Математика", 2020 The paper considers a new approach to constructing generalized solutions of degenerate integro-differential equations convolution type in Banach spaces.
M.V. Falaleev
doaj +1 more source
Vertex operator algebras, Higgs branches, and modular differential equations [PDF]
Journal of High Energy Physics, 2017 A bstractEvery four-dimensional N=2$$ \mathcal{N}=2 $$ superconformal field theory comes equipped with an intricate algebraic invariant, the associated vertex operator algebra.
Christopher Beem, L. Rastelli
semanticscholar +1 more source
, 2015 In this paper we study a class of sum operator equation Ax+Bx+C(x,x)=x$Ax+Bx+C(x,x)=x$ on ordered Banach spaces, where A is an increasing operator, B is a decreasing operator, and C is a mixed monotone operator.
Hui Wang, Lingling Zhang
semanticscholar +1 more source
Boundary Value Problems, 2020 In this article, we first investigate the linear difference operator ( A x ) ( t ) : = x ( t ) − ∑ i = 1 n c i ( t ) x ( t − δ i ( t ) ) $(Ax)(t):=x(t)-\sum_{i=1}^{n}c_{i}(t)x(t- \delta _{i}(t))$ in a continuous periodic function space.
Feifan Li +3 more
doaj +1 more source
PSEUDO-DIFFERENTIAL OPERATORS AND EQUATIONS IN A DISCRETE HALF-SPACE
Mathematical Modelling and Analysis, 2018 We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space. The theorem on a general solution of such equations is proved for a special case.
Vladimir Vasilyev +1 more
openaire +5 more sources
Integro-differential equations in Banach spaces and analytic resolving families of operators
Современная математика: Фундаментальные направления, 2023 We study a class of equations in Banach spaces with a Riemann–Liouville-type integro-differential operator with an operator-valued convolution kernel. The properties of \(k\)-resolving operators of such equations are studied and the class \(\mathcal A_ ...
V. E. Fedorov, A. D. Godova
doaj +1 more source
Stochastic Lévy differential operators and Yang–Mills equations [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2017 The relationship between the Yang–Mills equations and the stochastic analogue of Lévy differential operators is studied. The value of the stochastic Lévy–Laplacian is found by means of Cèsaro averaging of directional derivatives on the stochastic parallel transport.
openaire +3 more sources
Linear functional equations, differential operators and spectral synthesis [PDF]
Aequationes mathematicae, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
KISS, Gergely, Laczkovich, Miklos
openaire +2 more sources