The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation
This paper reuses an idea first devised by Kwong to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second order half-linear differential equation (p(x)Φ(y'))'+q(x)Φ(y)=0, with p(x),q(x)>0, Φ(t)=|t|r-2t, and r real such that r>1...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/147192 |
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| _version_ | 1832558193105960960 |
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| author | Pedro Almenar Lucas Jódar |
| author_facet | Pedro Almenar Lucas Jódar |
| author_sort | Pedro Almenar |
| collection | DOAJ |
| description | This paper reuses an idea first devised by Kwong to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second order half-linear differential equation (p(x)Φ(y'))'+q(x)Φ(y)=0, with p(x),q(x)>0, Φ(t)=|t|r-2t, and r real such that r>1. It also compares it with other methods developed by the authors. |
| format | Article |
| id | doaj-art-a63e0053dac942e6a4e9fa25aceda50d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a63e0053dac942e6a4e9fa25aceda50d2025-02-03T01:33:00ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/147192147192The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential EquationPedro Almenar0Lucas Jódar1Division of Network, Vodafone Spain, S.A., P. E. Castellana Norte, 28050 Madrid, SpainInstituto Universitario de Matemática Multidisciplinar, Universitat Politècnica de València, Camino de Vera s/n, 46022 Valencia, SpainThis paper reuses an idea first devised by Kwong to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second order half-linear differential equation (p(x)Φ(y'))'+q(x)Φ(y)=0, with p(x),q(x)>0, Φ(t)=|t|r-2t, and r real such that r>1. It also compares it with other methods developed by the authors.http://dx.doi.org/10.1155/2013/147192 |
| spellingShingle | Pedro Almenar Lucas Jódar The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation Abstract and Applied Analysis |
| title | The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation |
| title_full | The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation |
| title_fullStr | The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation |
| title_full_unstemmed | The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation |
| title_short | The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation |
| title_sort | distribution of zeroes and critical points of solutions of a second order half linear differential equation |
| url | http://dx.doi.org/10.1155/2013/147192 |
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