Resolvent Operator and Spectrum of New Type Boundary Value Problems
Yazarlar (3)
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Doç. Dr. Hayati OLĞAR
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
Tokat Gaziosmanpaşa Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
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| Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
| Dergi Adı | Filomat |
| Dergi ISSN | 0354-5180 Wos Dergi Scopus Dergi |
| Dergi Tarandığı Indeksler | SCI-Expanded |
| Dergi Grubu | Q4 |
| Makale Dili | İngilizce |
| Basım Tarihi | 01-2015 |
| Cilt No | 29 |
| Sayı | 7 |
| Sayfalar | 1671 / 1680 |
| DOI Numarası | 10.2298/FIL1507671M |
| Özet |
| The aim of this study is to investigate a new type boundary value problems which consist of the equation ̶ y˝00(x) + (By)(x) = λy(x) on two disjoint intervals (̶ 1; 0) and (0; 1) together with transmission conditions at the point of interaction x = 0 and with eigenparameter dependent boundary conditions, where B is an abstract linear operator, unbounded in general, in the direct sum of Lebesgue spaces L2(-1, 0)⊕L2(0, 1). By suggesting an own approaches we introduce modified Hilbert space and linear operator in it such a way that the considered problem can be interpreted as an eigenvalue problem of this operator. We establish such properties as isomorphism and coerciveness with respect to spectral parameter, maximal decreasing of the resolvent operator and discreteness of the spectrum. Further we examine asymptotic behaviour of the eigenvalues. |
| Anahtar Kelimeler |
| Boundary-value problems | Coerciveness | Eigenvalues | Resolvent | Spectrum | Transmission conditions |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| WoS | 58 |
| SCOPUS | 59 |
| Google Scholar | 88 |