Uniqueness of the inverse problem for impulsive differential pencils with the eigenparameter dependent boundary conditions
Journal of Elliptic and Parabolic Equations, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s41808-026-00503-2
- Dergi Adı: Journal of Elliptic and Parabolic Equations
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Anahtar Kelimeler: Impulsive, Interior inverse problem, Pencil, Spectral boundary condition, Weyl function
- Sivas Cumhuriyet Üniversitesi Adresli: Evet
Özet
In this work, we discuss the inverse problem for the impulsive differential pencil with eigenparameter dependent boundary conditions on (0,π). We prove two uniqueness theorems by the interior inverse problem and the Weyl function technique. Taking the Weyl function technique, we show that if coefficients of the first boundary condition, i.e. h1,h2 are known, then the potentials p(x),q(x) and the coefficients of the second boundary condition, i.e. H1,H2, are uniquely determined by information about the eigenfunctions at the midpoint of the interval and one spectrum or partial information on the eigenfunctions at some internal points and some of two spectra.