The determinants of fourth order dissipative operators with transmission conditions |
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Authors: | Xin-yan Zhang Jiong Sun |
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Institution: | 1. School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021, China;2. School of Statistics and Mathematics, Inner Mongolia University of Finance and Economics, Hohhot, 010070, China |
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Abstract: | In this paper, discontinuous non-self-adjoint differential operators in Weyl?s limit circle are studied. We give the determinant of perturbation connected with the dissipative operator L generated by fourth order differential expression in L2(I), where discontinuity of operator is dealt with transmission conditions. We obtain the Green?s function, then, using characteristic determinant, we prove the completeness of the system of eigenfunctions and associated functions of this dissipative operator. |
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Keywords: | Dissipative operators Transmission conditions Characteristic determinant Completeness |
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