Analogs of generalized resolvents of relations generated by pair of differential operator expressions one of which depends on spectral parameter in nonlinear manner

2013/05/18 by Volodymyr Khrabustovskyi, Khrabustovskyi, Volodymyr
Mathematics · #34B05 #34B07 #34L10 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods for differential equations #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics #math.CA #math.FA #math.SP #msc:34B05 #msc:34B07 #msc:34L10

paper · pdf · doi:10.48550/arxiv.1305.4287

Submitted to J. Math. Phys. Anal. Geom. The manuscript contains a part of the results from [arXiv:1210.5988], here they are presented in more complete form

arxiv created 2013/05/18 · openalex publication_date 2013/05/18 · arxiv updated 2013/05/21 · openalex created_date 2016/11/30 · openalex updated_date 2026/07/28

Abstract

For the relations generated by pair of differential operator expressions one of which depends on the spectral parameter in the Nevanlinna manner we construct analogs of the generalized resolvents which are integro-differential operators.

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
• On Titchmarsh-Weyl functions of first-order symmetric systems with arbitrary deficiency indices

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