Criticality of one term 2n-order self-adjoint differential equations
We analyse the criticality (the existence of linear dependent principal solutions at $\infty$ and $-\infty$) of the one term $2n$-order differential equation $(r y^{(n)})^{(n)} = 0$. Using the structure of the principal and the non-principal system of solutions, we find the equivalent conditions of...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1090 |
| Summary: | We analyse the criticality (the existence of linear dependent principal solutions at $\infty$ and $-\infty$) of the one term $2n$-order differential equation $(r y^{(n)})^{(n)} = 0$. Using the structure of the principal and the non-principal system of solutions, we find the equivalent conditions of subcriticality and at least $p$-criticality of this equation. |
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| ISSN: | 1417-3875 1417-3875 |