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A Sturm-Liouville problem with spectral and large parameters in boundary conditions and the associated Cauchy problem

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Ben Amara J.

Colloquium Mathematicum

2011

tom 123

nr 2

181-195

We study a Sturm-Liouville problem containing a spectral parameter in the boundary conditions. We associate to this problem a self-adjoint operator in a Pontryagin space Π₁. Using this operator-theoretic formulation and analytic methods, we study the asymptotic behavior of the eigenvalues under the variation of a large physical parameter in the boundary conditions. The spectral analysis is applied to investigate the well-posedness and stability of the wave equation of a string.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Ben Amara J.

1 2011

Wyniki wyszukiwania

A Sturm-Liouville problem with spectral and large parameters in boundary conditions and the associated Cauchy problem