TY - JOUR
ID - 5280
TI - Infinite product representation of solution of indefinite SturmLiouville problem
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - MOSAZADEH, S.
AD - University of Kashan,
I. R. Iran
Y1 - 2013
PY - 2013
VL - 4
IS - 1
SP - 27
EP - 40
KW - Singularities
KW - Turning Points
KW - Sturm-Liouville problem
KW - Non-definite problem
KW - Infinite products
KW - Hadamard's theorem
DO - 10.22052/ijmc.2013.5280
N2 - In this paper, we investigate infinite product representation of the solution of a Sturm- Liouville equation with an indefinite weight function which has two zeros and/or singularities in a finite interval. First, by using of the asymptotic estimates provided in [W. Eberhard, G. Freiling, K. Wilcken-Stoeber, Indefinite eigenvalue problems with several singular points and turning points, Math. Nachr. 229, 51-71 (2001)] for a special fundamental system of the solutions of Sturm-Liouville equation, we obtain the asymptotic behavior of itâ€™s solutions and eigenvalues, then we obtain the infinite product representation of solution of the equation.
UR - https://ijmc.kashanu.ac.ir/article_5280.html
L1 - https://ijmc.kashanu.ac.ir/article_5280_277e5aafb8e735692c8e11f911d8525b.pdf
ER -