Results 21 to 30 of about 712,412 (236)
Inverse Sturm–Liouville Problem with Spectral Parameter in the Boundary Conditions
Mathematics, 2023 In this paper, for the first time, we study the inverse Sturm–Liouville problem with polynomials of the spectral parameter in the first boundary condition and with entire analytic functions in the second one.
Natalia P. Bondarenko, Egor E. Chitorkin
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Explicit power laws in analytic continuation problems via reproducing kernel Hilbert spaces [PDF]
Inverse Problems, 2019 The need for analytic continuation arises frequently in the context of inverse problems. Notwithstanding the uniqueness theorems, such problems are notoriously ill-posed without additional regularizing constraints.
Y. Grabovsky, N. Hovsepyan
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A class of inverse problems for restoring the right-hand side of the pseudo-parabolic equation with one fractional Sturm–Liouville operator is considered.
D. Serikbaev, N. Tokmagambetov
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The Regional Enlarged Observability for Hilfer Fractional Differential Equations
Axioms, 2023 In this paper, we investigate the concept of regional enlarged observability (ReEnOb) for fractional differential equations (FDEs) with the Hilfer derivative. To proceed this, we develop an approach based on the Hilbert uniqueness method (HUM). We mainly
Abu Bakr Elbukhari, Zhenbin Fan, Gang Li
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SIAM Journal on Mathematical Analysis, 2019 In this paper, we show uniqueness and stability for the piecewise-smooth solutions to the Burgers--Hilbert equation constructed in Bressan and Zhang [Commun. Math. Sci., 15(1):165--184, 2017].
Sam G. Krupa, A. Vasseur
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Mathematics, 2022 We study the regional controllability problem for delayed fractional control systems through the use of the standard Caputo derivative. First, we recall several fundamental results and introduce the family of fractional-order systems under consideration.
Touria Karite +2 more
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Uniqueness Results of Semilinear Parabolic Equations in Infinite-Dimensional Hilbert Spaces
MathematicsThis paper is devoted to the uniqueness of solutions for a class of nonhomogeneous stationary partial differential equations related to Hamilton–Jacobi-type equations in infinite-dimensional Hilbert spaces.
Carlo Bianca, Christian Dogbe
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Averaged Control Problems Governed by a Semilinear Distributed Systems
Journal of Mathematics, 2023 In this work, we consider the regional averaged controllability (RAC) problem governed by a class of semilinear hyperbolic systems. We start by giving the definitions of the exact and approximate RAC systems.
Rabie Zine +3 more
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Applied Mathematics and Computation, 2020 In this paper, we establish some properties of the Hilbert transform in Clifford analysis setting, and mainly show the weak type (1,1) inequality for the Clifford Hilbert transform in Euclidean space R m (m ≥ 3) using the Clifford algebra and analysis ...
L. Gu
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Controllability for a Wave Equation with Moving Boundary
Journal of Applied Mathematics, 2014 We investigate the controllability for a one-dimensional wave equation in domains with moving boundary. This model characterizes small vibrations of a stretched elastic string when one of the two endpoints varies. When the speed of the moving endpoint is
Lizhi Cui, Libo Song
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