Solution of irregular problems by the asymptotic method

Article type: Research Article

Authors: Yakubov, Sasun^;

Affiliations: Department of Mathematics and Computer Science, University of Haifa, Haifa 31905, Israel E‐mail: [email protected]

Note: [] The author was supported by the Israel Ministry of Absorption.

Abstract: We investigate the Regge problem in Sobolev spaces with a weight. Moreover, conditions of proved theorems are weaker than those in the author’s paper published in the Journal of Mathematical Analysis and Applications 220 (1998), pp. 224–249. We prove an isomorphism, coerciveness with a defect with respect to the spectral parameter and 2‐fold completeness of root functions of the Regge problem. By the suggested method one can investigate both irregular and regular problems.

Keywords: Regge problem, coerciveness, 2‐fold completeness, root functions, boundary‐functional conditions

Journal: Asymptotic Analysis, vol. 22, no. 2, pp. 129-148, 2000