Inverse problem for an operator pencil with nonseparated boundary conditions
Eurasian mathematical journal, Tome 1 (2010) no. 2, pp. 5-16
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In this work an inverse problem of spectral analysis for a quadratic pencil of operators with general nonselfadjoint nonseparated boundary conditions is considered. Uniqueness and duality theorems are proved, an algoritm for solving the problem is presented. Apropriate examples and counterexample are given.
@article{EMJ_2010_1_2_a0,
author = {A. M. Akhtyamov and V. A. Sadovnichy and Ya. T. Sultanaev},
title = {Inverse problem for an operator pencil with nonseparated boundary conditions},
journal = {Eurasian mathematical journal},
pages = {5--16},
publisher = {mathdoc},
volume = {1},
number = {2},
year = {2010},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EMJ_2010_1_2_a0/}
}
TY - JOUR AU - A. M. Akhtyamov AU - V. A. Sadovnichy AU - Ya. T. Sultanaev TI - Inverse problem for an operator pencil with nonseparated boundary conditions JO - Eurasian mathematical journal PY - 2010 SP - 5 EP - 16 VL - 1 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/EMJ_2010_1_2_a0/ LA - en ID - EMJ_2010_1_2_a0 ER -
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A. M. Akhtyamov; V. A. Sadovnichy; Ya. T. Sultanaev. Inverse problem for an operator pencil with nonseparated boundary conditions. Eurasian mathematical journal, Tome 1 (2010) no. 2, pp. 5-16. http://geodesic.mathdoc.fr/item/EMJ_2010_1_2_a0/