کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610493 | 1338567 | 2014 | 19 صفحه PDF | دانلود رایگان |
We study inverse nodal problems for non-self-adjoint second-order differential operator with a constant delay. The uniqueness theorem is proved for this inverse problem and a constructive procedure for the solution of the inverse nodal problems is provided. We show that the space of delay differential operators characterized by (q,α,β)∈L1(a,π)×[0,π)2(q,α,β)∈L1(a,π)×[0,π)2, a∈(0,π)a∈(0,π), under a certain metric, is homeomorphic to the partition set of the space of quasinodal sequences, which is all admissible sequences X={Xnj}n≥2,j=1,n−1¯ which form sequences that converge to q, α and β individually. As a consequence, the inverse nodal problem, when defined on the partition set of admissible sequence induced by the same equivalence relation, is stable.
Journal: Journal of Differential Equations - Volume 257, Issue 4, 15 August 2014, Pages 1288–1306