We consider the equation u~((n))(r) = k(r)f(u), n ≥ 2, (1.1) where r > 0, k(r) is a nonnegative locally Lebesgue integrable function that is not zero on a set of positive measure, and f(u) is a positive continuous function with domain dom f = R_+ or dom f = R. Here R_+ = (0, ∞). Proper solutions of Eq. (1.1) are defined as solutions infinitely extendable to the right.
展开▼
机译：我们考虑方程u〜（（n））（r）= k（r）f（u），n≥2，（1.1）其中r> 0，k（r）是非负局部Lebesgue可积函数，不是在一组正度量上为零，并且f（u）是域dom f = R_ +或dom f = R的正连续函数。这里R_ + =（0，∞）。适当的解决方案（1.1）被定义为无限扩展到右边的解。
展开▼
