Results 21 to 30 of about 2,878,474 (274)

Optimal control of an abstract evolution variational inequality with application to homogenized plasticity [PDF]

Journal of Nonsmooth Analysis and Optimization, 2020
The paper is concerned with an optimal control problem governed by a state equation in form of a generalized abstract operator differential equation involving a maximal monotone operator.
Hannes Meinlschmidt, Christian Meyer, Stephan Walther   +2 more
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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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The Second-Order Differential Equation System with the Controlled Process for Variational Inequality with Constraints

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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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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On Solvability in the Class of Distributions of Degenerate Integro-Differential Equations in Banach Spaces

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

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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Linear difference operator with multiple variable parameters and applications to second-order differential equations

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, Zhonghua Bi, Shaowen Yao, Yun Xin   +3 more
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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.
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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, Alexander Vasilyev 0003   +1 more
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