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A continuation method for a weakly elliptic two-parameter eigenvalue problem

Authors:	Plestenjak Bor

Institution:	¹ IMFM/TCS, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia

Abstract:	We show that the continuation method can be used to solve aweakly elliptic two-parameter eigenvalue problem. We generalizethe continuation method for a nonsymmetric eigenvalue problemAx = ${lambda}$ x by T. Y. Li, Z. Zeng and L. Cong (1992 SIAM J. Numer.Anal. 29, 229–248) to two-parameter problems.

Keywords:	weakly elliptic two-parameter eigenvalue problem continuation method homotopy bifurcation
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