Results 101 to 110 of about 129,784 (278)
Discrete Dynamics in Nature and Society, 2017 In the recent paper W. Shen and T. He and G. Dai and X. Han established unilateral global bifurcation result for a class of nonlinear fourth-order eigenvalue problems.
Ziyatkhan Aliyev
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Advanced Electromagnetics, 2019 An iterative algorithm is presented for analyzing the optimal resonant radiation properties of electromagnetic waves by cubically polarized nonlinear layers.
L. Angermann, V. V. Yatsyk, M. V. Yatsyk
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
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Randomized Sketching of Nonlinear Eigenvalue Problems
SIAM Journal on Scientific ComputingRational approximation is a powerful tool to obtain accurate surrogates for nonlinear functions that are easy to evaluate and linearize. The interpolatory adaptive Antoulas--Anderson (AAA) method is one approach to construct such approximants numerically.
Stefan Güttel +2 more
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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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A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem
Journal of Inequalities and Applications, 2007 Based on properties of vector fields, we prove Hardy inequalities with remainder terms in the Heisenberg group and a compact embedding in weighted Sobolev spaces. The best constants in Hardy inequalities are determined.
Zixia Yuan, Pengcheng Niu, Jingbo Dou
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Second Eigenfunctions of Nonlinear Eigenvalue Problems
Journal of Mathematical Analysis and Applications, 1995 The author considers the eigenvalue problem (1) \(g'(u) = \lambda f' (u)\) where \(f\) and \(g\) are Fréchet differentiable functionals on a Hilbert space \(H\). A particular case of (1) is a linear equation \(Au = \lambda u\) where \(A\) is a weakly continuous selfadjoint linear operator on \(H\).
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Nonlinear Response‐History Analyses of Masonry and Mixed Structures With HybriDFEM
Earthquake Engineering &Structural Dynamics, EarlyView.ABSTRACT The hybrid discrete‐finite element (HybriDFEM) method, previously developed to perform static and modal analysis in discrete and coupled discrete‐finite element models, is extended to nonlinear response‐history analyses. The equations of motion for the HybriDFEM model are solved through various numerical time‐integration schemes, both explicit
Igor Bouckaert +2 more
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Electronic Journal of Differential Equations, 2004 Consider the problem $$ -Delta_{p}u=g(u) +lambda h(u)quadhbox{in }Omega $$ with $u=0$ on the boundary, where $lambdain(0,infty)$, $Omega$ is a strictly convex bounded and $C^{2}$ domain in $mathbb{R}^{N}$ with $Ngeq2$, and 1 less than $pleq2$.
Carlos Aranda, Tomas Godoy
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