Eigenfunction expansions associated with an operator differential equation non-linearly depending on a spectral parameter

Authors

  • V. Khrabustovskyi Ukrainian State Academy of Railway Transport, Kharkiv, Ukraine 

DOI:

Keywords:

Relation generated by pair of differential expressions one of which depends on spectral parameter in nonlinear manner, non-injective resolvent, generalized resolvent, Weyl typeoperator function and solution, eigenfunction expansion

Abstract

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

Downloads

Published

2014-03-25

Issue

Vol. 20 No. 1 (2014)

Section

Articles

How to Cite

Khrabustovskyi, V. “Eigenfunction Expansions Associated With an Operator Differential Equation Non-Linearly Depending on a Spectral Parameter”. Methods of Functional Analysis and Topology, vol. 20, no. 1, Mar. 2014, pp. 68-91, https://zen.imath.kiev.ua/index.php/mfat/article/view/568.