On a New Characterization of Some Class Nonlinear Eigenvalue Problem
Advances in Mathematical Physics, 2019 A normal mode analysis of a vibrating mechanical or electrical system gives rise to an eigenvalue problem. Faber made a fairly complete study of the existence and asymptotic behavior of eigenvalues and eigenfunctions, Green’s function, and expansion ...
Lutfi Akin
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Eigenvalue problem for nonlinear elastic beam equation of fractional order
Nonlinear Analysis, 2017 In this study, under some suitable assumptions, we determine an explicit eigenvalue interval for the existence of positive solution of singular fractional-order nonlinear elastic beam equation with bending term.
Neda Khodabakhshi, S. Mansour Vaezpour
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A Characterization of Some Class Nonlinear Eigenvalue Problem in VELS
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 Değişken üs Lebesgue uzaylarında lineer olmayan özdeğer problemlerininbazı sınıflarının karakterizasyonunu araştıracağız.
Lütfi Akın
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Existence Theorems for Some Classes of Boundary Value Problems Involving the P(X)-Laplacian
Nonlinear Analysis, 2008 We prove an alternative for a nonlinear eigenvalue problem involving the p(x)-Laplacian and study a subcritical boundary value problem for the same operator.
Ionica Andrei
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Approximation of the Minimal Eigenvalue for a Nonlinear Sturm–Liouville Problem [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 Properties of the minimal eigenvalue corresponding to the positive eigenfunction of a nonlinear eigenvalue problem for an ordinary differential equation are studied. This problem is approximated by a mesh scheme of the finite element method. The error of
V.S. Zheltukhin +2 more
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On the spectrum of a fourth order nonlinear eigenvalue problem with variable exponent and indefinite potential [PDF]
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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Localization Theorems for Nonlinear Eigenvalue Problems [PDF]
SIAM Review, 2013 Submitted to SIMAX.
David Bindel, Amanda Hood
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COMPACTNESS OF A NONLINEAR EIGENVALUE PROBLEM WITH A SINGULAR NONLINEARITY [PDF]
Communications in Contemporary Mathematics, 2008 We study the Dirichlet boundary value problem [Formula: see text] on a bounded domain Ω ⊂ ℝN. For 2 ≤ N ≤ 7, we characterize compactness for solutions sequence in terms of spectral informations. As a by-product, we give an uniqueness result for λ close to 0 and λ* in the class of all solutions with finite Morse index, λ* being the extremal value ...
ESPOSITO, PIERPAOLO
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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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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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