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, +∞).