Unified definition of stress intensity factors at a sharp three-dimensional jointed corner
Nihon 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
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Accurate Estimations of Any Eigenpairs of N-th Order Linear Boundary Value Problems
Mathematics, 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
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The quantization of gravity: The quantization of the full Einstein equations [PDF]
Symmetry 15, 1599, 2023, 2023 We quantized the full Einstein equations in a globally hyperbolic spacetime $N=N^{n+1}$, $n\ge 3$, and found solutions of the resulting hyperbolic equation in a fiber bundle $E$ which can be expressed as a product of spatial eigenfunctions (eigendistributions) and temporal eigenfunctions.
arxiv +1 more source
BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS [PDF]
Vestnik 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
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A comparison between the fourth order linear differential equation with its boundary value problem
Қарағанды 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
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Transient Responses of Repeated Transverse Impacts on Beams
Applied 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
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Effective decoupling method for derivation of eigenfunctions for closed cylindrical shell
Mechanics and Advanced Technologies, 2023 By expansion into Fourier series along the circumferential coordinate, the problem for elastic thin-walled closed cylindrical shell is reduced to 8th order differential equation with respect to axial coordinate.
Hlib Yudin, Igor Orynyak
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Eigenfunction Families and Solution Bounds for Multiplicatively Advanced Differential Equations
Axioms, 2020 A family of Schwartz functions W ( t ) are interpreted as eigensolutions of MADEs in the sense that W ( δ ) ( t ) = E W ( q γ t ) where the eigenvalue E ∈ R is independent of the advancing parameter q > 1 .
David W. Pravica +2 more
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AIMS Mathematics, 2021 Characteristic equations for the whole class of integral operators arising from arbitrary well-posed two-point boundary value problems of finite beam deflection resting on elastic foundation are obtained in terms of 4×4 matrices in block-diagonal form ...
Sung Woo Choi
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Numerical method for solving fractional Sturm–Liouville eigenvalue problems of order two using Genocchi polynomials [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2023 A new numerical scheme based on Genocchi polynomials is constructed to solve fractional Sturm–Liouville problems of order two in which the fractional derivative is considered in the Caputo sense. First, the differen-tial equation with boundary conditions
A. Aghazadeh +2 more
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