The Algebraic Multiplicity of Eigenvalues and the Evans
          Function Revisited

Y. Latushkin; A. Sukhtayev

Displaying similar documents to “The Algebraic Multiplicity of Eigenvalues and the Evans Function Revisited”

Reaction-diffusion-convection problems in unbounded cylinders.

Rozenn Texier-Picard, Vitaly A. Volpert (2003)

Revista Matemática Complutense

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The work is devoted to reaction-diffusion-convection problems in unbounded cylinders. We study the Fredholm property and properness of the corresponding elliptic operators and define the topological degree. Together with analysis of the spectrum of the linearized operators it allows us to study bifurcations of solutions, to prove existence of convective waves, and to make some conclusions about their stability.

On a nonlocal eigenvalue problem

Juncheng Wei, Liqun Zhang (2001)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On positive eigenvectors of a linear eigenvalue problem

Jan Bochenek (1990)

Annales Polonici Mathematici

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Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions

Pavel Drábek, Milan Kučera (1986)

Czechoslovak Mathematical Journal

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Equality in Wielandt’s eigenvalue inequality

Shmuel Friedland (2015)

Special Matrices

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In this paper we give necessary and sufficient conditions for the equality case in Wielandt’s eigenvalue inequality.

On the spectrum of singularly perturbed operators

O. A. Olejnik (1989)

Journées équations aux dérivées partielles

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Existence of multiple principal eigenvalues for some indefinite linear eigenvalue problems

J. Fleckinger, J. Hernández, F. Thélin (2004)

Bollettino dell'Unione Matematica Italiana

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We study the existence of principal eigenvalues for differential operators of second order which are not necessarily in divergence form. We obtain results concerning multiplicity of principal eigenvalues in both the variational and the general case. Our approach uses systematically the Krein-Rutman theorem and fixed point arguments for the spectral radius of some associated problems. We also use a variational characterization for both the self-adjoint and the general case.