On non-normal solutions of linear differential equations
Normality arguments are applied to study the oscillation of solutions of f''+Af=0, where the coefficient A is analytic in the unit disc \mathbb{D} and \sup _{z\in \mathbb{D}} (1-\vert z\vert^2)^2\vert A(z)\vert < \infty . It is shown that such a differential equation may admit a non-nor...
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| Veröffentlicht in: | Proceedings of the American Mathematical Society 2017-03, Vol.145 (3), p.1209-1220 |
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| container_title | Proceedings of the American Mathematical Society |
| container_volume | 145 |
| creator | Janne Gröhn |
| description | Normality arguments are applied to study the oscillation of solutions of f''+Af=0, where the coefficient A is analytic in the unit disc \mathbb{D} and \sup _{z\in \mathbb{D}} (1-\vert z\vert^2)^2\vert A(z)\vert < \infty . It is shown that such a differential equation may admit a non-normal solution having prescribed uniformly separated zeros. |
| doi_str_mv | 10.1090/proc/13292 |
| format | Article |
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| ispartof | Proceedings of the American Mathematical Society, 2017-03, Vol.145 (3), p.1209-1220 |
| issn | 0002-9939 1088-6826 |
| language | eng |
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| source | American Mathematical Society Publications (Freely Accessible); JSTOR Mathematics & Statistics; Jstor Complete Legacy; American Mathematical Society Publications; EZB-FREE-00999 freely available EZB journals |
| subjects | B. ANALYSIS |
| title | On non-normal solutions of linear differential equations |
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