The distribution of zeros of solutions for a class of third order differential equation
Abstract For third order linear differential equations of the form (r(t)x’ (t))’’ + p(t)x’ (t) + q(t)x(t)=0, we will establish lower bounds for the distance between zeros of a solution and/or its derivatives. The main results will be proved by making use of H...
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| Autores principales: | , , |
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2021
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| Materias: | |
| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172021000501301 |
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| Sumario: | Abstract For third order linear differential equations of the form (r(t)x’ (t))’’ + p(t)x’ (t) + q(t)x(t)=0, we will establish lower bounds for the distance between zeros of a solution and/or its derivatives. The main results will be proved by making use of Hardy’s inequality, some generalizations of Opial’s inequality and Boyd’s inequality. |
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