Oscillation criteria for fourth‐order differential equations with middle term |
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Authors: | Jamel Ben Amara |
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Affiliation: | Département des Mathématiques, Faculté des Sciences de Tunis, Université de Tunis Elmanar, Tunisia |
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Abstract: | Oscillation criteria for self‐adjoint fourth‐order differential equations were established for various conditions on the coefficients r(x) > 0, q(x) and p(x). However, most of these results deal with the case when limx → ∞∫x1q(s) ds < +∞. In this note we give a new oscillation criterion in the case when this condition is not fulfilled, in particular when q(x)↗ + ∞ (even with exponential growth). |
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Keywords: | Boundary value problems fourth‐order linear differential equation oscillation criteria MSC (2010) 34B05 |
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