Using the fact that in the case of $q(x)equiv 0$ the lengths of the instability intervals of the Hill's equation with a piecewise constant coefficient are unbounded, it has been proved that in the case of $q(x)notequiv 0$ , the lengths of the instability intervals are also unbounded.
📌 3 Key Takeaways
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Objective & Hypothesis:Using the fact that in the case of $q(x)equiv 0$ the lengths of the instability intervals of the Hill's equation with a piecewise constant coefficient are unbounded, it has been proved that in the case of $q(x)notequiv 0$ , the lengths of the instability intervals are also unbounded.
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Key Findings & Data:Using the fact that in the case of $q(x)equiv 0$ the lengths of the instability intervals of the Hill's equation with a piecewise constant coefficient are unbounded, it has been proved that in the case of $q(x)notequiv 0$ , the lengths of the instability intervals are also unbounded.
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Conclusion & Impact:Using the fact that in the case of $q(x)equiv 0$ the lengths of the instability intervals of the Hill's equation with a piecewise constant coefficient are unbounded, it has been proved that in the case of $q(x)notequiv 0$ , the lengths of the instability intervals are also unbounded.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
Using the fact that in the case of $q(x)equiv 0$ the lengths of the instability intervals of the Hill's equation with a piecewise constant coefficient are unbounded, it has been proved that in the case of $q(x)notequiv 0$ , the lengths of the instability intervals are also unbounded.
Özet
$q(x)equiv 0$ durumunda parçalı sabit katsayılı Hiil denkleminin kararsızlık aralıklarının uzunluklarının sınırsız olduğundan yararlanarak $q(x)notequiv 0$ durumunda da kararsızlık aralıklarının uzunluklarının toplamının sınırsız olduğu ispatlanmıştır
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Cite This Article
YASLAN, İ. (2022). Bir parçalı sabit katsayılı Hill denkleminin kararsızlık aralıklarının uzunlukları üzerine. Ege University Journal of The Faculty of Science, Cilt: 21 - Sayı: 2, 85–92. https://ajindex.com/articles/496223