Results 21 to 30 of about 141,787 (310)
On Multidimensional Determinant Differential-Operator Equations
Владикавказский математический журнал, 2020 Рассмотрен класс многомерных детерминантных дифференциально-операторныхnуравнений, левая часть которых представляет собой определитель с элементами, содержащими произведение линейных одномерных дифференциальных операторов произвольного порядка, а правая часть зависит от искомой функции и ее первых производных.
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An Operator Method for a Third Order Partial Differential Equation [PDF]
, 2020 In this study, the nonlocal boundary value problem for the third order partial differential equation with a self-adjoint positive definite operator in a Hilbert space is investigated.
Ashyralyev A., Simsek S.N.
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Complexity, 2021 In this paper, the variational inequality with constraints can be viewed as an optimization problem. Using Lagrange function and projection operator, the equivalent operator equations for the variational inequality with constraints under the certain ...
Li Wang, Xingxu Chen, Juhe Sun
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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 ...
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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
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Hyperbolic differential‐operator equations on a whole axis [PDF]
Abstract and Applied Analysis, 2004 We give an abstract interpretation of initial boundary value problems for hyperbolic equations such that a part of initial boundary value conditions contains also a differentiation on the time t of the same order as equations. The case of stable solutions of abstract hyperbolic equations is treated.
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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
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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
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A Problem for a Factorized Equation with a Pseudoparabolic Differential Operator
Russian Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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
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