Bir Sınıf Sturm-Liouville Problemi için Ambarzumyan Tipi Teoremler

Bu makalede, sınır koşulları parametreye bağlı, bir geçiş koşullu Sturm-Liouville problemi için Ambarzumyan tipi teoremler ispatlanmaktadır

Ambarzumyan Type Theorems for a Class of Sturm-Liouville Problem

In this paper, we prove Ambarzumyan type theorems for an impulsive Sturm–Liouville problem with eigenparameter in the boundary conditions

PDF

___

[1]. Ambartsumyan, V. A., Uber eine frage der eigenwerttheorie, Zeitschrift für Physik, 1929, 53, 690-695.
[2]. Chern, H. H., Law, C. K., Wang, H.J., Corrigendum to extension of Ambarzumyan’s theorem to general boundary conditions, J. Math. Anal. Appl., 2005, 309, 764-768.
[3]. Yang, C. F. and Yang, X. P., Ambarzumyan’s theorem with eigenparameter in the boundary conditions, Acta Math. Sci., 2011, 31B(4), 1561-1568.
[4]. Yurko, V. A., On Ambarzumyan-type theorems, Applied Math. Letters, 2013, 26, 506-509.
[5]. Yang, C. F. and Yang, X. P., Ambarzumyan’s theorems for SturmLiouville operators with general boundary conditions, Acta Math. Sci., 2010, 30A(2), 449-455.
[6]. Horváth, M., On a theorem of Ambarzumyan, Proc. Roy. Soc.Edinburgh Sect. A, 2001, 131(4), 899-907.
[7]. Yang, C. F. and Yang, X. P., Some Ambarzumyan-type theorems for Dirac operators, Inverse Problems, 2009, 25(9), 095012pp.13.
[8]. Chern, H. H. and Shen, C. L., On the ndimensional Ambarzumyan’s theorem, Inverse Problems, 1997, 13, 15-18.
[9]. Márton, K., An n-dimensional Ambarzumyan type theorem for Dirac operators, Inverse Problems, 2004, 20, 1593-1597.
[10]. Yang, C. F., Huang, Z. Y. and Yang, X. P., Ambarzumyan’s theorems for vectorial Sturm-Liouville systems with coupled boundary conditions, Taiwanese J. Math., 2010, 14(4), 1429- 1437.
[11]. Kırac, A. A., On the Ambarzumyan’s theorem for the quasi-periodic problem, Analysis and Math. Physics, 2015, 13, 15-18.
[12]. Freiling, G. and Yurko, V. A., Inverse Sturm–Liouville problems and their applications, Nova Science, Huntington, NY, 2001