Results 11 to 20 of about 1,145 (256)
Boundary Value Problems, 2019 In this paper, we investigate the unique solvability and stability of the time domain electromagnetic scattering problem with a kind of unbounded scatterer, that is, a locally perturbed perfectly electrical conducting plate. Specific analysis is provided
Minfu Zhang, Fuming Ma, Bo Chen
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Uniquely solvable quadratic boolean equations
Discrete Applied Mathematics, 1985 It is known that a quadratic Boolean equation \(f=0\) in n unknowns \(x_ 1,...,x_ n\) is consistent if and only if its implication graph G has no circuit, where G has 2n vertices labelled \(x_ 1,...,x_ n,\bar x_ 1,...,\bar x_ n\) and for each term \(x_ i^{\alpha}x_ j^{\beta}\) of f, a couple of arcs linking \(x_ i^{\alpha}\) to \(x_ j^{\beta}\) in both
Hansen, Pierre, Jaumard, Brigitte
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On periods of non-constant solutions to functional differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2017 We show that periods of solutions to Lipschitz functional differential equations cannot be too small. The problem on such periods is closely related to the unique solvability of the periodic value problem for linear functional differential equations ...
Eugene Bravyi
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Unique solvability of weakly homogeneous generalized variational inequalities [PDF]
Journal of Global Optimization, 2021 An interesting observation is that most pairs of weakly homogeneous mappings have no strongly monotonic property, which is one of the key conditions to ensure the unique solvability of the generalized variational inequality. This paper focuses on studying the unique solvability of the generalized variational inequality with a pair of weakly homogeneous
Xueli Bai +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2013 Conditions for the unique solvability of the Cauchy problem for a family of scalar functional differential equations are obtained. These conditions are sufficient for the solvability of the Cauchy problem for every equation from the family and are ...
Eugene Bravyi
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On a problem with a displacement for a partial differential equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 The unique solvability of the problem with the generalized operators of fractional integro-differentiation in the boundary condition is investigated for the mixed type equation. The uniqueness theorem for the nonlocal problem is proved.
Anna V Tarasenko
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On the theory of the known inverse problems for the heat transfer equation
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The inverse problems for finding the initial condition and the right-hand side were studied for the heat transfer equation. A solution of the initial boundary value problem for the inhomogeneous heat transfer equation with sufficient conditions for the ...
K.B. Sabitov, A.R. Zaynullov
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A Class of Quasilinear Equations with Distributed Gerasimov–Caputo Derivatives
Mathematics, 2023 Quasilinear equations in Banach spaces with distributed Gerasimov–Caputo fractional derivatives, which are defined by the Riemann–Stieltjes integrals, and with a linear closed operator A, are studied.
Vladimir E. Fedorov, Nikolay V. Filin
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Problem with shift for the third-order equation with discontinuous coefficients
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 The unique solvability of boundary value problem with Saigo operators for the thirdorder equation with multiple characteristics was investigated. The uniqueness theorem with constraints of inequality type on the known functions and different orders of ...
Oleg A Repin, Svetlana K Kumykova
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Известия Иркутского государственного университета: Серия "Математика", 2019 We investigates the unique solvability of a class of linear inverse problems with a time-independent unknown coefficient in an evolution equation in Banach space, which is resolved with respect to the fractional Gerasimov – Caputo derivative.
V.E. Fedorov, A. V. Nagumanova
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