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Comment on ‘Nonlinear eigenvalue problems’ [PDF]
Journal of Physics A: Mathematical and Theoretical, 2014 The asymptotic behaviour of solutions to y'(x)=cos[πxy(x)] was investigated by Bender et al (2014 J. Phys. A: Math. Theor. 47 235204). They found, for example, a relation between the initial value y(0)=a and the number of maxima that the solution exhibited.
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Results in Physics, 2019 We consider coupled nonlinear Schrodinger equation (CNLSE) of the Gross-Pitaevskii-type, with linear mixing and nonlinear cross-phase modulation. Motivated by the study of matter waves in Bose-Einstein condensates and multicomponent (vectorial) nonlinear
Hamdy I. Abdel-Gawad +3 more
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Localization Theorems for Nonlinear Eigenvalue Problems [PDF]
SIAM Review, 2013 Submitted to SIMAX.
David Bindel, Amanda Hood
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MATEC Web of Conferences, 2017 The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in
Solov´ev Sergey I. +2 more
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Mixed-mode loading of the structural elements with defect
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 In the article the problem of determining the stress-strain state near the mixed-mode crack tip in a power-law material under plane stress conditions is considered. The eigenfunction method is used for the mixed-mode crack tip problem.
Larisa V Stepanova +1 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2016 The present paper deals with the spectrum of a fourth order nonlinear eigenvalue problem involving variable exponent conditions and a sign-changing potential.
Qing-Mei Zhou, Ke-Qi Wang
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Note on a Nonlinear Eigenvalue Problem [PDF]
Proceedings of the American Mathematical Society, 1963 1. V. F. Cowling, Walter Leighton and W. J. Thron, Twin convergence regions for continued fractions, Bull. Amer. Math. Soc. 50 (1944), 351-357. 2. R. E. Lane, Absolute convergence of continued fractions, Proc. Amer. Math. Soc. 3 (1952), 904-913. 3. R. E. Lane and H. S. Wall, Continued fractions with absolutely convergent even and odd parts, Trans. Amer.
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Nonlinear eigenvalue problems [PDF]
Bulletin of the Australian Mathematical Society, 1975 The object of this paper is to prove two new results on the nature of the spectrum of a class of nonlinear elliptic eigenvalue problems. In the first case, sufficient conditions are given for which the spectrum is bounded and, in the second case, conditions are given for which the spectrum is open.
Fradkin, L. Ju., Wake, G. C.
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COMPARISON OF CHEBYSHEV AND ANDERSON ACCELERATIONS FOR THE NEUTRON TRANSPORT EQUATION [PDF]
EPJ Web of Conferences, 2021 This work focuses on the k-eigenvalue problem of the neutron transport equation. The variables of interest are the largest eigenvalue (keff) and the corresponding eigenmode is called the fundamental mode.
Calloo Ansar +2 more
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On the Variational Eigenvalues Which Are Not of Ljusternik-Schnirelmann Type
Abstract and Applied Analysis, 2012 We discuss nonlinear homogeneous eigenvalue problems and the variational characterization of their eigenvalues. We focus on the Ljusternik-Schnirelmann method, present one possible alternative to this method and compare it with the Courant-Fischer ...
Pavel Drábek
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