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

zbMATH Open1313.34276arXiv1307.5460MaRDI QIDQ2877338

Volodymyr Khrabustovskyi

Publication date: 21 August 2014

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

Full work available at URL: https://arxiv.org/abs/1307.5460

zbMATH Keywords

Nevanlinna functionoperator-differential equationeigenfunction expansions

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear differential equations in abstract spaces (34G10) Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter (34B07)

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