Results 11 to 20 of about 73,015 (248)
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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Inverse Problem for a Fourth-Order Hyperbolic Equation with a Complex-Valued Coefficient
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
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
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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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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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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Prescribing the nodal set of the first eigenfunction in each conformal class [PDF]
We consider the problem of prescribing the nodal set of the first nontrivial eigenfunction of the Laplacian in a conformal class. Our main result is that, given a separating closed hypersurface $\Sigma$ in a compact Riemannian manifold $(M,g_0)$ of ...
Enciso, Alberto +2 more
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Eigenvalues of Toeplitz minimal systems of finite topological rank [PDF]
In this article we characterize measure theoretical eigenvalues of Toeplitz Bratteli-Vershik minimal systems of finite topological rank which are not associated to a continuous eigenfunction.
Durand, Fabien +2 more
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Existence of Nonnegative Solutions of Linear Autonomous Functional Differential Equations
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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Effective decoupling method for derivation of eigenfunctions for closed cylindrical shell
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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