TY  - JOUR
TI  - On eigenfunctions of Hill's equation with symmetric double well potential
AB  - Throughout this paper the asymptotic approximations for eigen- functions of eigenvalue problems associated with Hill’s equation satisfying periodic and semi-periodic boundary conditions are derived when the potential is symmetric double well. These approximations are used to determine the Green’s functions of the related problems. Then, the obtained results are adapted to the Whittaker-Hill equation which has the symmetric double well potential and is widely investigated in the literature.
AU  - kabatas, ayse
DO  - 10.31801/cfsuasmas.974409
PY  - 2022
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 71
IS  - 3
SN  - 1303-5991
SP  - 634
EP  - 649
DB  - TRDizin
UR  - http://search/yayin/detay/1125990
ER  -