Results 151 to 160 of about 80,061 (162)

ANALYTIC PERTURBATIONS OF MULTIPARAMETER EIGENVALUE PROBLEMS

The Quarterly Journal of Mathematics, 1979
Browne, Patrick J., Sleeman, B. D.
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Nonlinear multiparameter eigenvalue problems on general level sets

Nonlinear Analysis: Theory, Methods & Applications, 1997
The author considers the following nonlinear multiparameter problem \[ u''(x)+ \sum^n_{k=1} \mu_kf_k \bigl(u(x)\bigr) =\lambda g\bigl(u(x) \bigr),\;u(x)>0,\;x\in I=(0,1) \tag{1} \] \[ u(0)= u(1)=0, \] where \(\mu= (\mu_1,\mu_2, \dots, \mu_n) \in \mathbb{R}^n_+\) \((\mathbb{R}_+: =(0, \infty))\), \(\lambda\in \mathbb{R}_+\) are parameters.
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Variational methods for nonlinear multiparameter elliptic eigenvalue problems

Nonlinearity, 1997
Summary: We consider the following nonlinear multiparameter problem \[ u''(r)+ {N-1 \over r} u'(r)+ \sum^n_{k=1} \mu_k u(r)^{p_k} =\lambda u(r ...
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On condition numbers and pseudo spectrum for multiparameter eigenvalue problems

, 2013
M. Hama
semanticscholar   +1 more source

Multiparameter Eigenvalue Problems: Matrices and Compact Operators (F. V. Atkinson)

, 1973
M. Marcus
semanticscholar   +1 more source

Multiparameter eigenvalue problems for bounded operators

1988
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Generalized simple eigenvalues and bifurcation for a linked multiparameter eigenvalue problem

1996
The bifurcation problem for the nonlinear multiparameter system of equations \[ L_i(\lambda)x_i= F(\lambda, x_1,\dots, x_m); \] \[ L_i(\lambda)= A_i- \sum^n_{j= 1}\lambda_j B_{ij},\quad i=1,\dots, m,\quad m\leq n \] (\(A_i\), \(B_{ij}\) are bounded selfadjoint operators on Hilbert spaces \(H_i\), \(i= 1,\dots,m\); \(\lambda_j\), \(j= 1,\dots,n\), are ...
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A Multiparameter Eigenvalue Problem in the Complex Plane

American Journal of Mathematics, 1977
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Left-definite multiparameter eigenvalue problems

1975
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An algorithm for the solution of multiparameter eigenvalue problems. II

[For part I see ibid. 8, 137-149 (1986; Zbl 0607.65011.] The power-successive overrelaxation method is developed for the numerical solution of another class of multiparameter eigenvalue problems, i.e. to find a diagonal matrix \(\Lambda =diag(\lambda_ 1I^{(n_ 1)},...,\lambda_ mI^{(n_ m)})\geq 0\) and a corresponding real vector \(x=(x^ T_ 1,...,x^ T_ m)
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