论文信息 - Perturbations ofH-selfadjoint matrices, with applications to differential equations

Perturbations ofH-selfadjoint matrices, with applications to differential equations

In this paper we study perturbations of operators which are either selfadjoint or unitary with respect to an indefinite scalar product on a finite dimensional space (i.e.H-selfadjoint orH-unitary operators). The results allow us to describe systems of differential equations of higher order with selfadjoint coefficients which, together with all neighboring systems of the same kind, have only bounded solutions. An open problem concerning the structure of the connected components of such systems is posed.

Leiba Rodman | Israel Gohberg | Peter Lancaster

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