Results 61 to 70 of about 129,456 (180)
Positive Solutions for Nonlinear Eigenvalue Problems
The authors are concerned with determining values of \(\lambda\) (eigenvalues), for which there exist positive solutions of the boundary value problem \[ (1_\lambda)\quad u''+\lambda a(t)f(u)=0 ...
Henderson, Johnny, Wang, Haiyan
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Asymptotic shape of solutions to nonlinear eigenvalue problems
We consider the nonlinear eigenvalue problem $$ -u''(t) = f(lambda, u(t)), quad u mbox{greater than} 0, quad u(0) = u(1) = 0, $$ where $lambda > 0$ is a parameter.
Tetsutaro Shibata
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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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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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Nonlinear eigenvalue Neumann problems with discontinuities
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Hardy Inequality with Remainder Terms in the Heisenberg Group and the Weighted Eigenvalue Problem
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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Randomized Sketching of Nonlinear Eigenvalue Problems
Rational 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]
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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Second Eigenfunctions of Nonlinear Eigenvalue Problems
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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