Differential Equation;
Singular Point;
Taylor Series;
Russian Translation;
Monotone Function;
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摘要:
We prove a number of theorems on asymptotic properties of solutions of the equation y″+xayσ = 0, σ < 0. First, we prove the absence of solutions on (x1, +∞) for some values of the parameters a and σ; after that, we obtain asymptotic formulas for solutions defined on (x0, +∞).
机构:
Univ Nebraska, Dept Math, Lincoln, NE 68588 USAUniv Nebraska, Dept Math, Lincoln, NE 68588 USA
Erbe, Lynn
Baoguo, Jia
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机构:
Univ Nebraska, Dept Math, Lincoln, NE 68588 USA
Zhongshan Univ, Sch Math & Comp Sci, Guangzhou 510275, Guangdong, Peoples R ChinaUniv Nebraska, Dept Math, Lincoln, NE 68588 USA
Baoguo, Jia
Peterson, Allan
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机构:
Univ Nebraska, Dept Math, Lincoln, NE 68588 USAUniv Nebraska, Dept Math, Lincoln, NE 68588 USA