On a boundary value problem with symmetric double well potential and spectral parameter in the boundary condition

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Başkaya E.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, cilt.42, sa.2, ss.572-577, 2024 (ESCI, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 42 Sayı: 2
• Basım Tarihi: 2024
• Doi Numarası: 10.14744/sigma.2024.00044
• Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
• Sayfa Sayıları: ss.572-577
• Anahtar Kelimeler: Asymptotic Expansion, Eigenvalue Parameter İn The Boundary Condition, Symmetric Double Well Potential, The Boundary Value Problem
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

The asymptotic expansion of the eigenvalue of Sturm-Liouville problem is presented. The problem has a symmetric double well potential that is continuous, symmetrical to both the midpoint and quarter point of the related interval and non -increasing on the quarter interval.