Results 11 to 20 of about 21,792 (245)
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
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Neutral Operator and Neutral Differential Equation
Abstract and Applied Analysis, 2011 In this paper, we discuss the properties of the neutral operator (Ax)(t)=x(t)−cx(t−δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of ...
Jingli Ren, Zhibo Cheng, Stefan Siegmund
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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 nonlocal problem for the differential-operator equation of the even order with the involution
Karpatsʹkì Matematičnì Publìkacìï, 2018 In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Ya.O. Baranetskij +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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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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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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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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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
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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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