Eigenfunction expansions associated with operator differential equation depending on spectral parameter nonlinearly

Abstract

For operator differential equation which depends on the spectral parameter in the Nevanlinna manner we obtain the expansions in eigenfunctions.

Submitted to Meth. Func. Anal. Topol. The manuscript contains a part of the results from [arXiv:1210.5988], here they are presented in more complete form

References in corpus (3)

• Boundary relations and generalized resolvents of symmetric operators
• On Titchmarsh-Weyl functions of first-order symmetric systems with arbitrary deficiency indices
• Analogs of generalized resolvents and eigenfunction expansions of relations generated by pair of differential operator expressions one of which depends on spectral parameter in nonlinear manner