Results 1 to 10 of about 1,718 (186)
On zeros of an entire function coinciding with exponential typequasi-polynomials, associated with a regular third-order differential operator on an interval [PDF]
In this paper, we consider the question on study of zeros of an entire function of one class, which coincides with quasi-polynomials of exponential type.
N.S. Imanbaev, Ye. Kurmysh
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Nonlinear Eigenvalue Problems and Bifurcation for Quasi-Linear Elliptic Operators
AbstractIn this paper, we analyze an eigenvalue problem for quasi-linear elliptic operators involving homogeneous Dirichlet boundary conditions in a open smooth bounded domain. We show that the eigenfunctions corresponding to the eigenvalues belong to$$L^{\infty }$$L∞, which implies$$C^{1,\alpha }$$C1,αsmoothness, and the first eigenvalue is simple ...
Emmanuel Wend-Benedo Zongo, Bernhard Ruf
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AN EIGENVALUE PROBLEM FOR A NON-BOUNDED QUASILINEAR OPERATOR [PDF]
AbstractIn this paper we study the eigenvalues associated with a positive eigenfunction of a quasilinear elliptic problem with an operator that is not necessarily bounded. For that, we use the bifurcation theory and obtain the existence of positive solutions for a range of values of the bifurcation parameter.AMS 2000 Mathematics subject classification:
Carmona Tapia, José +1 more
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Dedalus: A flexible framework for numerical simulations with spectral methods
Numerical solutions of partial differential equations enable a broad range of scientific research. The Dedalus project is a flexible, open-source, parallelized computational framework for solving general partial differential equations using spectral ...
Keaton J. Burns +4 more
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Existence of solution for some quasi-homogenous and quasi-elliptic Nonlinear Eigenvalue Problems
The existence of solutions for a non linear eigenvalue problems is well studied and proved for n even. In this article we will study the case of odd dimension n>1 for the family of quasi-homogeneous and quasi-elliptic operators and we will give some ...
Fatima M. ABOUD
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Eigenvalue enclosing of the elliptic operator which is linearized at an exact solution of certain nonlinear elliptic equations is considered. This problem is relevant in the analysis of the stability or bifurcation of some solutions for nonlinear problems. The indices of eigenvalues, especially the first eigenvalue are also investigated.
Nagatou, K., Nakao, M.T.
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LUPO, DANIELA ELISABETTA +2 more
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Iterative Matrix Techniques Based on Averages
Matrices have an important role in modern engineering problems like artificial intelligence, biomedicine, machine learning, etc. The present paper proposes new algorithms to solve linear problems involving finite matrices as well as operators in infinite
María A. Navascués
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Maximization problems for eigenvalues of linear elliptic operators
The work discusses the eigenvalue problem for elliptic operators. In particular, it is shown that every solution of the eigenvalue maximization problem corresponds to a saddle point for some functional associated with this problem. The conditions respected to this statement fulfilment are formulated.
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Eigenvalue Problem Describing Magnetorotational Instability in Outer Regions of Galaxies
The existence of magnetic fields in spiral galaxies is beyond doubt and is confirmed by both observational data and theoretical models. Their generation occurs due to the dynamo mechanism action associated with the properties of turbulence.
Evgeny Mikhailov, Tatiana Khasaeva
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