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

• Autorzy: Jamel Ben Amara
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
• 34B05: Linear boundary value problems
• 47E05: Ordinary differential operators (should also be assigned at least one other classification number in section 47)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2011
• Tom: 123
• Numer: 2
• Strony: 181-195

Daty

wydano

2011

Twórcy

autor

Jamel Ben Amara

• Département de Mathématiques, Faculté des Sciences de Tunis, Université de Tunis El Manar, Tunis, Tunisia

Identyfikatory

DOI

10.4064/cm123-2-2