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M. Faierman (1994)
Archivum Mathematicum
In this paper we derive results concerning the angular distrubition of the eigenvalues and the completeness of the principal vectors in certain function spaces for an oblique derivative problem involving an indefinite weight function for a second order elliptic operator defined in a bounded region.
Jan Bochenek (1971)
Annales Polonici Mathematici
Detlef Müller (1989)
Journal für die reine und angewandte Mathematik
Jan Bochenek (1971)
Annales Polonici Mathematici
Khelifi, Abdessatar (2007)
Applied Mathematics E-Notes [electronic only]
Bao-Zhu Guo, Guo-Dong Zhang (2012)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper, we study the one-dimensional wave equation with Boltzmann damping. Two different Boltzmann integrals that represent the memory of materials are considered. The spectral properties for both cases are thoroughly analyzed. It is found that when the memory of system is counted from the infinity, the spectrum of system contains a left half complex plane, which is sharp contrast to the most results in elastic vibration systems that the vibrating dynamics can be considered from the vibration...
Bao-Zhu Guo, Guo-Dong Zhang (2012)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper, we study the one-dimensional wave equation with Boltzmann damping. Two different Boltzmann integrals that represent the memory of materials are considered. The spectral properties for both cases are thoroughly analyzed. It is found that when the memory of system is counted from the infinity, the spectrum of system contains a left half complex plane, which is sharp contrast to the most results in elastic vibration systems that the vibrating dynamics can be considered from the vibration...
Marco Codegone (1982)
Annales de l'I.H.P. Physique théorique
Peter Hess (1985)
Mathematische Annalen
Benaddi, Ahmed (2004)
Portugaliae Mathematica. Nova Série
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