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Variational methods for nonlinear multiparameter elliptic eigenvalue problems
Nonlinearity, 1997Summary: 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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A Numerical Technique for Multiparameter Eigenvalue Problems
IMA Journal of Numerical Analysis, 1982Browne, Patrick J., Sleeman, B. D.
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Generalized simple eigenvalues and bifurcation for a linked multiparameter eigenvalue problem
1996The 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, 1977openaire +1 more source
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)openaire +2 more sources
LINEAR ELEMENT APPROXIMATION FOR SOLVING MULTIPARAMETER EIGENVALUE PROBLEM
Far East Journal of Applied Mathematics, 2015Surashmi Bhattacharyya +1 more
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