Difference between revisions of "Disconjugate"
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Let $\mathbb{T}$ be a [[time scale]]. We say that a [[self-adjoint]] equation $(py^{\Delta})^{\Delta}+qy^{\sigma}=0$ is disconjugate on an interval $[a,b] \cap \mathbb{T}$ if there is no nontrivial solution with two (or more) generalized zeros on the interval $[a,b]\cap\mathbb{T}$. | Let $\mathbb{T}$ be a [[time scale]]. We say that a [[self-adjoint]] equation $(py^{\Delta})^{\Delta}+qy^{\sigma}=0$ is disconjugate on an interval $[a,b] \cap \mathbb{T}$ if there is no nontrivial solution with two (or more) generalized zeros on the interval $[a,b]\cap\mathbb{T}$. | ||
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Latest revision as of 15:28, 21 January 2023
Let $\mathbb{T}$ be a time scale. We say that a self-adjoint equation $(py^{\Delta})^{\Delta}+qy^{\sigma}=0$ is disconjugate on an interval $[a,b] \cap \mathbb{T}$ if there is no nontrivial solution with two (or more) generalized zeros on the interval $[a,b]\cap\mathbb{T}$.