We consider the equation u′′ = P(z)u, where P(z) is a polynomial. Let zk(u), k = 1, 2, . . . be the zeros of a solution u(z) to that equation. Inequalities for the sums (formula percent) (j = 1, 2, . . .) are derived. They considerably improve the previous result of the author. Some applications of the obtained bounds are also discussed. An illustrative example is presented. It shows that the suggested results are sharp.
- Bounds for zeros of solutions
- Linear differential equation in the complex plane
ASJC Scopus subject areas
- Mathematics (all)