On zeros of an entire function coinciding with exponential typequasi-polynomials, associated with a regular third-order differential operator on an interval [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 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
Mediterranean Journal of Mathematics, 2022 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]
Proceedings of the Edinburgh Mathematical Society, 2004 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
Physical Review Research, 2020 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
Zanco Journal of Pure and Applied Sciences, 2019 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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Evans function and Fredholm determinants [PDF]
, 2014 We explore the relationship between the Evans function, transmission coefficient and Fredholm determinant for systems of first order linear differential operators on the real line.
Karambal, Issa, Malham, Simon J. A
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Lyapunov-type Inequalities for Partial Differential Equations [PDF]
, 2013 In this work we present a Lyapunov inequality for linear and quasilinear elliptic differential operators in $N-$dimensional domains $\Omega$. We also consider singular and degenerate elliptic problems with $A_p$ coefficients involving the $p-$Laplace ...
Juan P. Pinasco, Napoli, Pablo L. De
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A study on anisotropic mesh adaptation for finite element approximation of eigenvalue problems with anisotropic diffusion operators [PDF]
, 2014 Anisotropic mesh adaptation is studied for the linear finite element solution of eigenvalue problems with anisotropic diffusion operators. The M-uniform mesh approach is employed with which any nonuniform mesh is characterized mathematically as a uniform
Huang, Weizhang, Wang, Jingyue
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Quantization with maximally degenerate Poisson brackets: The harmonic oscillator! [PDF]
, 2003 Nambu's construction of multi-linear brackets for super-integrable systems can be thought of as degenerate Poisson brackets with a maximal set of Casimirs in their kernel.
Bayen F +19 more
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Nearest-Neighbor Interaction Systems in the Tensor-Train Format [PDF]
, 2017 Low-rank tensor approximation approaches have become an important tool in the scientific computing community. The aim is to enable the simulation and analysis of high-dimensional problems which cannot be solved using conventional methods anymore due to ...
Gelß, Patrick +3 more
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