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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On identity for eigenvalues of second order differential operator equation
Mathematical and Computer Modelling, 2009 In this study we investigate the spectrum and regularized trace of the second order differential operator equation with periodic boundary conditions. (C) 2008 Elsevier Ltd.
Baykal, Oya, Bayramov, Azad, Oer, Zerrin
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In-context operator learning with data prompts for differential equation problems [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2023 Significance This paper presents In-Context Operator Networks (ICON), a neural network approach that can learn new operators from prompted data during the inference stage without requiring any weight updates.
Liu Yang, Siting Liu, Tingwei Meng
exaly +2 more sources
Symmetry, 2022 This article presents a criterion for the uniqueness of the solution of a problem nonlocal in time for a differential-operator equation with a symmetric operator part on space variables.
Baltabek Kanguzhin, Bakytbek Koshanov
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Algebraic and differential operator equations
Linear Algebra and its Applications, 1988 Explicit expressions for solutions of boundary-value problems and Cauchy problems related to the operator differential equation X(n)+An−1Xn−1)+⋯+A0X=0 are given in terms of solutions of the algebraic operator equation Xn+An−1Xn−1 +⋯+A0=0.
Jódar, Lucas
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Differential operator related to the generalized superradiance integral equation
, 2010 In this paper we consider a class of problems which are generalized versions of the three-dimensional superradiance integral equation. A commuting differential operator will be found for this generalized problem.
SenGupta, Indranil, Indranil SenGupta
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Integro-differential equations with bounded operators in Banach spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
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Reduced operator inference for nonlinear partial differential equations [PDF]
SIAM Journal on Scientific Computing, 2021 We present a new scientific machine learning method that learns from data a computationally inexpensive surrogate model for predicting the evolution of a system governed by a time-dependent nonlinear partial differential equation (PDE), an enabling ...
E. Qian +2 more
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Analysis of Volterra Integrodifferential Equations with the Fractal-Fractional Differential Operator
Complexity, 2023 In this paper, a class of integrodifferential equations with the Caputo fractal-fractional derivative is considered. We study the exact and numerical solutions of the said problem with a fractal-fractional differential operator.
null Kamran +5 more
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Nonoscillation of damped linear differential equations with a proportional derivative controller and its application to Whittaker-Hill-type and Mathieu-type equations [PDF]
Opuscula Mathematica, 2022 The proportional derivative (PD) controller of a differential operator is commonly referred to as the conformable derivative. In this paper, we derive a nonoscillation theorem for damped linear differential equations with a differential operator using ...
Kazuki Ishibashi
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