PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL

BASKAYA, ELIF

PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL

E. BAŞKAYA (Karadeniz Teknik Üniversitesi, Fen Fakültesi, Matematik Bölümü, Trabzon, Türkiye)

TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics

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Yıl: 2020 Cilt: 10 Sayı: 2 Sayfa Aralığı: 346 - 352 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL

Öz:

In this paper, some estimates are derived explicitly for periodic and semiperiodic eigenvalues of Hill’ s equation with symmetric double well potential. Also,lengths of the instability intervals are obtained and bounds for the gaps of Dirichlet andNeumann eigenvalues are given by using an auxiliary eigenvalue problem.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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[5] Huang, M. J., (1997), The first instability interval for Hill equations with symmetric single well potentials, Proc. Amer. Math. Soc., 125, pp. 775-778.
[6] Co¸skun, H. and Harris, B. J., (2000), Estimates for the periodic and semi-periodic eigenvalues of Hill’s equations, Proc. Roy. Soc. Edinburgh Sec. A, 130, pp. 991-998.
[7] Co¸skun, H., (2002), Some inverse results for Hill’ s Equation, J. Math. Anal. Appl., 276, pp. 833-844.
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APA	BASKAYA E (2020). PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL. , 346 - 352.
Chicago	BASKAYA ELIF PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL. (2020): 346 - 352.
MLA	BASKAYA ELIF PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL. , 2020, ss.346 - 352.
AMA	BASKAYA E PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL. . 2020; 346 - 352.
Vancouver	BASKAYA E PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL. . 2020; 346 - 352.
IEEE	BASKAYA E "PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL." , ss.346 - 352, 2020.
ISNAD	BASKAYA, ELIF. "PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL". (2020), 346-352.

APA	BASKAYA E (2020). PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 10(2), 346 - 352.
Chicago	BASKAYA ELIF PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics 10, no.2 (2020): 346 - 352.
MLA	BASKAYA ELIF PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, vol.10, no.2, 2020, ss.346 - 352.
AMA	BASKAYA E PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics. 2020; 10(2): 346 - 352.
Vancouver	BASKAYA E PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL. TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics. 2020; 10(2): 346 - 352.
IEEE	BASKAYA E "PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL." TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics, 10, ss.346 - 352, 2020.
ISNAD	BASKAYA, ELIF. "PERIODIC AND SEMI-PERIODIC EIGENVALUES OF HILL’S EQUATION WITH SYMMETRIC DOUBLE WELL POTENTIAL". TWMS (Turkic World Mathematical Society) Journal of Applied and Engineering Mathematics 10/2 (2020), 346-352.