V. Khrabustovskyi

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Articles: 2

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

Volodymyr Khrabustovskyi

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 20 (2014), no. 1, 68-91

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

Expansion in eigenfunctions of relations generated by pair of operator differential expressions

Volodymyr Khrabustovskyi

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 15 (2009), no. 2, 137-151

For relations generated by a pair of operator symmetric differential expressions, a class of generalized resolvents is found. These resolvents are integro-differential operators. The expansion in eigenfunctions of these relations is obtained.


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