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NEAMATY, A., S., MOSAZADEH. (1389). ON THE CANONICAL SOLUTION AND DUAL EQUATIONS OF STURM-LIOUVILLE PROBLEM WITH SINGULARITY AND TURNING POINT. , 34(1), 71-88. doi: 10.22099/ijsts.2010.2167
A. NEAMATY; MOSAZADEH S.. "ON THE CANONICAL SOLUTION AND DUAL EQUATIONS OF STURM-LIOUVILLE PROBLEM WITH SINGULARITY AND TURNING POINT". , 34, 1, 1389, 71-88. doi: 10.22099/ijsts.2010.2167
NEAMATY, A., S., MOSAZADEH. (1389). 'ON THE CANONICAL SOLUTION AND DUAL EQUATIONS OF STURM-LIOUVILLE PROBLEM WITH SINGULARITY AND TURNING POINT', , 34(1), pp. 71-88. doi: 10.22099/ijsts.2010.2167
NEAMATY, A., S., MOSAZADEH. ON THE CANONICAL SOLUTION AND DUAL EQUATIONS OF STURM-LIOUVILLE PROBLEM WITH SINGULARITY AND TURNING POINT. , 1389; 34(1): 71-88. doi: 10.22099/ijsts.2010.2167

ON THE CANONICAL SOLUTION AND DUAL EQUATIONS OF STURM-LIOUVILLE PROBLEM WITH SINGULARITY AND TURNING POINT

Iranian Journal of Science
مقاله 8، دوره 34، شماره 1، اردیبهشت 2010، صفحه 71-88    اصل مقاله (130.6 K)
شناسه دیجیتال (DOI): 10.22099/ijsts.2010.2167
نویسندگان
A. NEAMATY* ؛ MOSAZADEH S.
Department of Mathematics, University of Mazandaran, Babolsar, I. R. of Iran
چکیده
In this paper, we investigate the canonical property of solutions of a system of differential
equations having a singularity and turning point of even order. First, by a replacement, we transform the
system to the Sturm-Liouville equation with a turning point. Using the asymptotic estimates for a special
fundamental system of solutions of Sturm-Liouville equation, we study the infinite product representation of
solutions of the system and investigate the uniqueness of the solution for the dual equations of the Sturm-
Liouville equation. Then, we transform the Sturm-Liouville equation with a turning point to the equation with
a singularity, and study the asymptotic behavior of its solutions. Such representations are relevant to the
inverse spectral problem.
کلیدواژه‌ها
Turning point؛ singularity؛ sturm-liouville؛ infinite products؛ hadamard's theorem؛ dual equations؛ eigenvalues
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