Oscillation of a class of differential equations with generalized phi-Laplacian
| Autor: | Mariella Cecchi, Zuzana Došlá, Mauro Marini |
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| Rok vydání: | 2013 |
| Předmět: |
Differential equation
Oscillation General Mathematics Operator (physics) 010102 general mathematics Mathematical analysis Zero (complex analysis) Curvature 01 natural sciences Homeomorphism 010101 applied mathematics Nonlinear system Equazioni differenziali ordinarie 0101 mathematics Laplace operator Mathematics |
| Zdroj: | Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 143:493-506 |
| ISSN: | 1473-7124 0308-2105 |
| DOI: | 10.1017/s0308210511001156 |
| Popis: | The oscillation of the nonlinear differential equationwhere Φ is an increasing odd homeomorphism, is considered when the weight b is not summable near infinity. We extend previous results, stated for equations with the classical p-Laplacian, by obtaining necessary and sufficient conditions of integral type for the oscillation. The role of the boundedness of Im Φ [Dom Φ] is analysed in detail. Our results includes the case Φ* ◦ F linear near zero or near infinity, where Φ* is the inverse of Φ. Several examples, concerning the curvature or relativity operator, illustrate our results. |
| Databáze: | OpenAIRE |
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