Results 21 to 30 of about 2,628 (194)
Stochastic Duality and Eigenfunctions [PDF]
We start from the observation that, anytime two Markov generators share an eigenvalue, the function constructed from the product of the two eigenfunctions associated to this common eigenvalue is a duality function. We push further this observation and provide a full characterization of duality relations in terms of spectral decompositions of the ...
Redig F., Sau F.
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This paper is devoted to solving boundary value problems for differential equations with fractional derivatives by the Fourier method. The necessary information is given (in particular, theorems on the completeness of the eigenfunctions and associated ...
Temirkhan Aleroev
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In this paper we consider one class of spectral problems for a nonlocal ordinary differential operator (with involution in the main part) with nonlocal boundary conditions of periodic type.
G. Dildabek +2 more
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ON STABILIZATION PROBLEM FOR A LOADED HEAT EQUATION: THE TWO-DIMENSIONAL CASE
One of the important properties that characterize the behavior of solutions of boundary value problems for differential equations is stabilization, which has a direct relationship with the problems of controllability.
A. M. Ayazbaeva +2 more
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Estimates for Dirichlet Eigenfunctions [PDF]
Estimates for the Dirichlet eigenfunctions near the boundary of an open, bounded set in euclidean space are obtained. It is assumed that the boundary satisfies a uniform capacitary density condition.
van den Berg, M, Bolthausen, E
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Eigenfunctions in Finsler Gaussian solitons
Gaussian solitons are important examples in the theory of Riemannian measure space. In the first part, we explicitly characterize the first eigenfunctions of the drift Laplacian in a Gaussian shrinking soliton, which shows that apart from each coordinate
Liu Caiyun, Yin Songting
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Periodic boudary-value problem for Hill's equation in the case of parametric resonance [PDF]
Necessary and sufficient conditions for the existence of solutions of nonlinear nonautonomous periodic problem for Hills equation in the case of parametric resonance.
Petr Viktorovich Kulish +2 more
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Holomorphic extension of eigenfunctions [PDF]
8p, no ...
Krötz, Bernhard, Schlichtkrull, Henrik
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Molecules with unpaired electrons, also known as open‐shell systems, are key intermediates in several light‐mediated or metal‐catalyzed transformations in organic chemistry. However, modeling this chemistry by density functional theory calculations is challenging.
Nil Sanosa +2 more
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On a boundary problem for the fourth order equation with the third derivative with respect to time
In this paper, we consider a boundary value problem in a rectangular domain for a fourth-order homogeneous partial differential equation containing the third derivative with respect to time. The uniqueness of the solution of the stated problem is proved
Yu.P. Apakov, D.M. Meliquzieva
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