Results 1 to 10 of about 73,015 (248)

On the Existence, Uniqueness, and Basis Properties of Radial Eigenfunctions of a Semilinear Second-Order Elliptic Equation in a Ball [PDF]

open access: goldInternational Journal of Mathematics and Mathematical Sciences, 2009
We consider the following eigenvalue problem: −Δ𝑢+𝑓(𝑢)=𝜆𝑢, 𝑢=𝑢(𝑥), 𝑥∈𝐵={𝑥∈ℝ3∶|𝑥|0, 𝑢||𝑥|=1=0, where 𝑝 is an arbitrary fixed parameter and 𝑓 is an odd smooth function.
Peter Zhidkov
doaj   +2 more sources

Inferring the Eigenvalues and Eigenfunctions Asymptotically for the Eighth Order Boundary Value Problems

open access: yesTikrit Journal of Pure Science, 2022
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
doaj   +1 more source

A comparison between the fourth order linear differential equation with its boundary value problem

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
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
doaj   +1 more source

Unified definition of stress intensity factors at a sharp three-dimensional jointed corner

open access: yesNihon Kikai Gakkai ronbunshu, 2021
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
doaj   +1 more source

Accurate Estimations of Any Eigenpairs of N-th Order Linear Boundary Value Problems

open access: yesMathematics, 2021
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
doaj   +1 more source

BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015
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
doaj   +1 more source

Concentration of symmetric eigenfunctions [PDF]

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2010
8 ...
Azagra, Daniel, Macia Lang, Fabricio
openaire   +4 more sources

Transient Responses of Repeated Transverse Impacts on Beams

open access: yesApplied Sciences, 2023
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
doaj   +1 more source

Entropy of Eigenfunctions [PDF]

open access: yes, 2009
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
openaire   +3 more sources

Unconditional basicity of eigenfunctions’ system of Sturm-Liouville operator with an involutional perturbation

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper the question on unconditional basicity of the system of eigenfunctions of the involutive perturbed Sturm-Liouville operator is investigated.
A.A. Sarsenbi
doaj   +1 more source

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