Nonlinear eigenvalue problems for generalized Painlevé equations [PDF]
Journal of Physics A: Mathematical and Theoretical, 2019 25 pages, 5 figures, 1 ...
Carl M Bender +2 more
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Existence and Uniqueness of Solutions to a Nonlocal Equation with Monostable Nonlinearity
, 2011 Let $J \in C(\mathbb{R})$, $J\ge 0$, $\int_{\tiny$\mathbb{R}$} J = 1$ and consider the nonlocal diffusion operator $\mathcal{M}[u] = J \star u - u$. We study the equation $\mathcal{M} u + f(x,u) = 0$, $u \ge 0$, in $\mathbb{R}$, where $f$ is a KPP-type ...
Juan Dávila +4 more
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THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM
Forum of Mathematics, Sigma, 2015 The hyperbolic quadratic eigenvalue problem (HQEP) was shown to admit Courant–Fischer type min–max principles in 1955 by Duffin and Cauchy type interlacing inequalities in 2010 by Veselić.
XIN LIANG, REN-CANG LI
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Maximum Principle and generalized principal eigenvalue for degenerate elliptic operators [PDF]
, 2013 We characterize the validity of the Maximum Principle in bounded domains for fully nonlinear degenerate elliptic operators in terms of the sign of a suitably defined generalized principal eigenvalue.
Berestycki, Henri +3 more
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Nonlinear Effects of Electromagnetic TM Wave Propagation in Anisotropic Layer with Kerr Nonlinearity
Advances in Mathematical Physics, 2012 The problem of electromagnetic TM wave propagation through a layer with Kerr nonlinearity is considered. The layer is located between two half-spaces with constant permittivities.
Yu G. Smirnov, D. V. Valovik
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A generalized Lyapunov inequality for a higher-order fractional boundary value problem
Journal of Inequalities and Applications, 2016 In the paper, we establish a Lyapunov inequality and two Lyapunov-type inequalities for a higher-order fractional boundary value problem with a controllable nonlinear term. Two applications are discussed.
Dexiang Ma
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Interval Nonlinear Eigenvalue Problems [PDF]
, 2013 Nonlinear eigenvalue Problems are currently receiving much attention because of its extensive applications in areas such as the dynamic analysis of mechanical systems, acoustics and fluid mechanics etc.
Sadangi, Satyabrata
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Eigenvalue Problem of Nonlinear Semipositone Higher Order Fractional Differential Equations
Abstract and Applied Analysis, 2012 We study the eigenvalue interval for the existence of positive solutions to a semipositone higher order fractional differential equation = = where , , , , satisfying , is the standard Riemann-Liouville derivative, , and is allowed to be ...
Jing Wu, Xinguang Zhang
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Nonlinear Elliptic Eigenvalue Problems with Discontinuities
Journal of Mathematical Analysis and Applications, 1999 Existence of nontrivial solutions to two nonlinear eigenvalue problems with discontinuous nonlinearities is proved in this paper. The first one is given by \(-\Delta_p\in \lambda[f_0(x,u), f_1(x,u)]\) in \(D\), \(u=0\) on \(\partial D\), where \(D\) is a smooth bounded domain in \(\mathbb{R}^N\), \(p\geq 2\), \(\lambda\) is a real parameter and \(f_0(x,
Hu, Shouchuan +2 more
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Numerical Solitons of Generalized Korteweg-de Vries Equations
, 2005 We propose a numerical method for finding solitary wave solutions of generalized Korteweg-de Vries equations by solving the nonlinear eigenvalue problem on an unbounded domain. The artificial boundary conditions are obtained to make the domain finite. We
Camassa +7 more
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