Results 11 to 20 of about 2,628 (194)
Inverse Problem for a Fourth-Order Hyperbolic Equation with a Complex-Valued Coefficient
Mathematics, 2023 This paper studies the existence and uniqueness of the classical solution of inverse problems for a fourth-order hyperbolic equation with a complex-valued coefficient with Dirichlet and Neumann boundary conditions.
Asselkhan Imanbetova +2 more
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An Assessment of High-Order-Mode Analysis and Shape Optimization of Expansion Chamber Mufflers
Archives of Acoustics, 2014 A substantial quantity of research on muffler design has been restricted to a low frequency range using the plane wave theory. Based on this theory, which is a one-dimensional wave, no higher order wave has been considered.
Min-Chie CHIU, Ying-Chun CHANG
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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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Axioms, 2022 This article discusses the author’s version of the technology for solving a one-dimensional boundary value problem for a one-dimensional advection–diffusion equation based on the method of separation of variables, as well as the theory of eigenvalues and
Temirkhan Aleroev, Victor Orlov
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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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Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations
Mathematics, 2020 It is shown that if we exclude the existence of nontrivial small solutions, then a linear autonomous functional differential equation has a nontrivial nonnegative solution if and only if it has a nonnegative eigenfunction.
Mihály Pituk
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Vibrating systems with heavy soft inclusions (in Ukrainian) [PDF]
Математичні Студії, 2012 The Neumann spectral problem for an elliptic operator of the second order with singularly perturbed coefficients is considered. The asymptotic behavior of eigenvalues and eigenfunctions is studied.
V. M. Hut
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In the article it is shown that the homogeneous Volterra integral equation of the second kind, to which the homogeneous boundary value problem of heat conduction in the degenerating domain is reduced, has a nonzero solution.
D.M. Akhmanova +2 more
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The adaptive finite element method for the Steklov eigenvalue problem in inverse scattering
Open Mathematics, 2020 In this study, for the first time, we discuss the posteriori error estimates and adaptive algorithm for the non-self-adjoint Steklov eigenvalue problem in inverse scattering.
Zhang Yu, Bi Hai, Yang Yidu
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PI-eigenfunctions of the Star graphs [PDF]
Linear Algebra and its Applications, 2020 We consider the symmetric group $\mathrm{Sym}_n,\,n\geqslant 2$, generated by the set $S$ of transpositions $(1~i),\,2 \leqslant i \leqslant n$, and the Cayley graph $S_n=Cay(\mathrm{Sym}_n,S)$ called the Star graph. For any positive integers $n\geqslant 3$ and $m$ with $n > 2m$, we present a family of $PI$-eigenfunctions of $S_n$ with eigenvalue $n-
Sergey Goryainov +4 more
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