Results 1 to 10 of about 7,103 (240)
When is the first eigenfunction for the clamped plate equation of fixed sign?
It is known that the first eigenfunction of the clamped plate equation, $Delta^2 varphi = lambda varphi$ in $Omega$ with $varphi=frac{partial}{partial n}varphi=0$ on $partialOmega$, is not necessarily of fixed sign.
Guido Sweers
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In the present paper, we consider an eigenvalue problem generated by eight- order differential equations with suitable boundary conditions, that containing a spectral parameter.
Aryan Ali Mohammed, Rebaz Fadhil Mahmood
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Unified definition of stress intensity factors at a sharp three-dimensional jointed corner
In the manufacture of electronic devices and MEMS, a wide variety of materials are jointed. For light-weight automobiles, CFRP materials are jointed with metallic materials.
Omar IBRAHIM +2 more
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A comparison between the fourth order linear differential equation with its boundary value problem
In this paper, we study a fourth order linear differential equation. We found an upper bound for the solutions of this differential equation and also, we prove that all the solutions are in L4(0, ∞).
Karwan H.F. Jwamer, Rando R. Q. Rasul
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Accurate Estimations of Any Eigenpairs of N-th Order Linear Boundary Value Problems
This paper provides a method to bound and calculate any eigenvalues and eigenfunctions of n-th order boundary value problems with sign-regular kernels subject to two-point boundary conditions.
Pedro Almenar, Lucas Jódar
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International audienceIt is well known that eigenfunctions have to be continuous at each space point of the structure in which they are localized. This is not the only rule they have to fulfill.
Leonard Dobrzyński +7 more
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BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS [PDF]
We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite
L.M. Eneeva
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Entropy of Eigenfunctions [PDF]
We study the high--energy limit for eigenfunctions of the laplacian, on a compact negatively curved manifold. We review the recent result of Anantharaman-Nonnenmacher giving a lower bound on the Kolmogorov-Sinai entropy of semiclassical measures, and improve this lower bound in the case of variable negative curvature.
Anantharaman, Nalini +2 more
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Transient Responses of Repeated Transverse Impacts on Beams
In this paper, the eigenfunction expansion method combined with local contact models are presented to analyze the repeated impact behaviors between the sphere and the beam.
Hui Wang +3 more
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BOUNDARY CONTROL OF ROD TEMPERATURE FIELD WITH A SELECTED POINT
In this paper, we study the issue of boundary control of the temperature field of a rod with a selected point. The main purpose of the work is to clarify the conditions for the existence of a boundary control that ensures the transition of the ...
K. B. Imanberdiyev +3 more
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