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Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In the paper the brief review of the important results of nonlinear fracture mechanics recently obtained by the asymptotic methods and perturbation techniques is given.
Larisa V Stepanova, Ekaterina M Adylina
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Two-parametric nonlinear eigenvalue problems
Electronic Journal of Qualitative Theory of Differential Equations, 2008 Eigenvalue problems of the form $x'' = -\lambda f(x^+) + \mu g(x^-),$ $\quad (i),$ $x(0) = 0, \; x(1) = 0,$ $\quad (ii)$ are considered, where $x^+$ and $x^-$ are the positive and negative parts of $x$ respectively.
Armands Gritsans, Felix Sadyrbaev
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Results in Applied Mathematics, 2020 The interior elastic transmission eigenvalue problem, arising from the inverse scattering theory of non-homogeneous elastic media, is nonlinear, non-self-adjoint and of fourth order.
Xia Ji, Peijun Li, Jiguang Sun
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Nonlinear eigenvalue problems for nonhomogeneous Leray–Lions operators
Boundary Value Problems, 2020 This paper deals with the mathematical analysis of a class of nonlinear eigenvalue problems driven by a nonhomogeneous differential operator. We are concerned both with the coercive and the noncoercive (and nonresonant) cases, which are in relationship ...
Mohamed Abdelwahed, Nejmeddine Chorfi
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Global Bifurcation of Fourth-Order Nonlinear Eigenvalue Problems’ Solution
International Journal of Differential Equations, 2021 In this paper, we study the global bifurcation of infinity of a class of nonlinear eigenvalue problems for fourth-order ordinary differential equations with nondifferentiable nonlinearity.
Fatma Aydin Akgun
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The nonlinear eigenvalue problem [PDF]
Acta Numerica, 2017 Nonlinear eigenvalue problems arise in a variety of science and engineering applications, and in the past ten years there have been numerous breakthroughs in the development of numerical methods. This article surveys nonlinear eigenvalue problems associated with matrix-valued functions which depend nonlinearly on a single scalar parameter, with a ...
Guettel, Stefan, Tisseur, Francoise
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Isoperimetric inequalities for some nonlinear eigenvalue problems
Electronic Journal of Qualitative Theory of Differential Equations, 2004 In this paper we intend to review many of the known inequalities for eigenvalues of the Laplacian in Euclidean plane. Our aim is to show that we can generalize some results for the pseudo-Laplacian.
Gabriella Bognár
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Existence of Positive Solutions for Nonlinear Eigenvalue Problems
Boundary Value Problems, 2010 We use a fixed point theorem in a cone to obtain the existence of positive solutions of the differential equation, , , with some suitable boundary conditions, where is a parameter.
Wong Fu-Hsiang +2 more
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Randomized Riemannian Preconditioning for Orthogonality Constrained Problems [PDF]
, 2020 Optimization problems with (generalized) orthogonality constraints are prevalent across science and engineering. For example, in computational science they arise in the symmetric (generalized) eigenvalue problem, in nonlinear eigenvalue problems, and in ...
Avron, Haim, Shustin, Boris
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Some indefinite nonlinear eigenvalue problems [PDF]
, 2004 In this work we study the structure of the set of positive solutions of a nonlinear eigenvalue problem with a weight changing sign. Specifically, the reaction term arises from a population dynamic model. We use mainly bifurcation methods to obtain our
Delgado Delgado, Manuel (Coordinador) +4 more
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