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

2013/07/20 by Volodymyr Khrabustovskyi, Khrabustovskyi, Volodymyr
Mathematics · #34B05 #34B07 #34L10 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP) #math.CA #math.FA #math.SP #msc:34B05 #msc:34B07 #msc:34L10

paper · pdf · doi:10.48550/arxiv.1307.5460

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

arxiv created 2013/07/20 · arxiv updated 2013/07/23

Abstract

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

Citations

• 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

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