Results 21 to 30 of about 486 (190)
Steklov spectral problems in a set with a thin toroidal hole
Partial Differential Equations in Applied Mathematics, 2020 The paper concerns the Steklov spectral problem for the Laplace operator, and some variants in a 3-dimensional bounded domain, with a cavity Γεhaving the shape of a thin toroidal set, with a constant cross-section of diameter ε≪1.
V. Chiadò Piat, S.A. Nazarov
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Spectral asymptotics of the Dirichlet Laplacian in a conical layer [PDF]
, 2015 International audienceThe spectrum of the Dirichlet Laplacian on conical layers is analysed through two aspects: the infiniteness of the discrete eigenvalues and their expansions in the small aperture limit.
Nicolas Raymond +8 more
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On spectral properties of a fourth-order boundary value problem
Ain Shams Engineering Journal, 2013 In this work, we study a fourth-order boundary value problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point.
Erdoğan Şen
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Asymptotic expansions of eigenvalues and eigenfunctions of random boundary value problems [PDF]
Quarterly of Applied Mathematics, 1980 An asymptotic procedure is developed for calculating the eigenvalues and eigenfunctions of linear boundary-value problems which may contain random coefficients in the operator. The corresponding asymptotic series for the solution of a second-order initial-value problem is shown to be convergent.
openaire +2 more sources
Mixed-mode loading of the structural elements with defect
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 In the article the problem of determining the stress-strain state near the mixed-mode crack tip in a power-law material under plane stress conditions is considered. The eigenfunction method is used for the mixed-mode crack tip problem.
Larisa V Stepanova +1 more
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Geodesic bi-angles and Fourier coefficients of restrictions of eigenfunctions [PDF]
, 2022 This article concerns joint asymptotics of Fourier coefficients of restrictions of Laplace eigenfunctions $\phi_j$ of a compact Riemannian manifold to a submanifold $H \subset M$. We fix a number $c \in (0,1)$ and study the asymptotics of the thin sums, $
Xi, Yakun +5 more
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Asymptotics Of Eigenvalues And Eigenfunctions Of A Discontinuous Boundary Value Problem [PDF]
, 2011 The boundary problem is considered which occurs in the theory of small transversal vibrations of a smooth inhomogeneous string. The ends of the string assumed to be fixed and the midpoint of the string is damped by a pointwise force.
Huseynli, Ali A., Gasymov, Telman B.
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Dirichlet problem for the mixed type equation with two degeneration lines in a half-strip
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 In this article, the first boundary problem for the mixed type equation with two degeneration lines at a half-strip in the class of the regular and limited in infinity decisions is discussed.
Viner Zufarovich Vagapov
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Inverse Nodal Problem for a Conformable Fractional Diffusion Operator [PDF]
, 2020 In this paper, a diffusion operator including conformable fractional derivatives of order {\alpha} ({\alpha} in (0,1)) is considered. The asymptotics of the eigenvalues, eigenfunctions and nodal points of the operator are obtained.
Çakmak, Yaşar, Yaşar Çakmak
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Heat Transfer, EarlyView.ABSTRACT This work presents and compares two explicit approaches for estimating space‐ and time‐dependent source terms in parabolic diffusion equations, derived from analytical solutions obtained through the Classical Integral Transform Technique (CITT).
André J. P. de Oliveira +5 more
wiley +1 more source