Half-inverse problems for the quadratic pencil of theSturm-Liouvilleequations with impulse
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, cilt.37, sa.1, ss.915-924, 2021 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 37 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.1002/num.22559
- Dergi Adı: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, MathSciNet, zbMATH, DIALNET, Civil Engineering Abstracts
- Sayfa Sayıları: ss.915-924
- Sivas Cumhuriyet Üniversitesi Adresli: Evet
Özet
In this paper, we consider the inverse spectral problem for the impulsive Sturm-Liouville differential pencils on [pi/2] with the Robin boundary conditions and the jump conditions at the point pi/2. We prove that two potentials functions on the whole interval and the parameters in the boundary and jump conditions can be determined from a set of eigenvalues for two cases: (i) the potentials given on ( 0,pi/2). and (ii) the potentials given on (pi/2,pi), where 0< alpha< 1, respectively. Inverse spectral problems, Sturm-Liouville operator, spectrum, uniqueness.