An invariant subspace problem for multilinear operators on Banach spaces and algebras
Journal of Inequalities and Applications, 2016 This paper is concerned with the study of invariant subspace problems for nonlinear operators on Banach spaces/algebras. Our study reveals that one faces unprecedented challenges such as lack of vector space structure and unbounded spectral sets when ...
John Emenyu
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Solving Nonlinear Second Order Delay Eigenvalue Problems by Least Square Method
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020 The aim of this paper is to study the nonlinear delay second order eigenvalue problems which consists of delay ordinary differential equations, in fact one of the expansion methods that is called the least square method which will be developed to ...
Israa M. Salman, Eman A. Abdul-Razzaq
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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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Convergence of Adaptive Finite Element Approximations for Nonlinear Eigenvalue Problems [PDF]
, 2010 In this paper, we study an adaptive finite element method for a class of a nonlinear eigenvalue problems that may be of nonconvex energy functional and consider its applications to quantum chemistry.
Chen, H., Gong, X., He, L., Zhou, A.
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Conversions between barycentric, RKFUN, and Newton representations of rational interpolants
, 2014 We derive explicit formulas for converting between rational interpolants in barycentric, rational Krylov (RKFUN), and Newton form. We show applications of these conversions when working with rational approximants produced by the AAA algorithm [Y ...
Wei Pan (701) +2 more
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Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales
Advances in Difference Equations, 2008 Values of λ are determined for which there exist positive solutions of the system of dynamic equations, uΔΔ(t)+λa(t)f(v(Ã(t)))=0, vΔΔ(t)+λb(t)g(u(Ã(t)))=0, for t∈[0,1]T, satisfying the boundary conditions, u(0)=0=u(Ã2 ...
S. K. Ntouyas +2 more
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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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Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
Abstract and Applied Analysis, 2002 This work is devoted to the study of a quasilinear elliptic system of resonant type. We prove the existence of infinitely many solutions of a related nonlinear eigenvalue problem.
Pablo L. de Nàpoli, M. Cristina Mariani
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Positive solutions and nonlinear multipoint conjugate eigenvalue problems
Electronic Journal of Differential Equations, 1997 Values of $lambda$ are determined for which there exist solutions in a cone of the $n^{th}$ order nonlinear differential equation, $$u^{(n)} = lambda a(t) f(u),,quad 0 < t < 1,,$$ satisfying the multipoint boundary conditions, $$u^{(j)}(a_i) = 0,,quad ...
Paul W. Eloe, Johnny Henderson
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Global structure of positive solutions for superliner first-order periodic boundary value problems [PDF]
, 2018 In this paper,we consider the nonlinear eigenvalue ...
Wang, J. (Jiao)
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