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The oscillation of half-linear differential equations with an oscillatory coefficient

✍ Scribed by Hong Huei-Lin; Lian Wei-Cheng; Yeh Cheh-Chih

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
625 KB
Volume
24
Category
Article
ISSN
0895-7177

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πŸ“œ SIMILAR VOLUMES

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By means of a classical inequality and an averaging technique, we obtain an oscillation criterion for nonhomogeneous half-linear differential equations. Our result is much more general than a recent result of Wong [1] and makes use of the oscillatory behavior of the forcing terms on intervals.

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In this note, we study the oscillatory behavior of the following higher-order half-linear delay differential equation where we assume An example is given to illustrate the main results.

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New explicit exponential stability conditions are obtained for the nonautonomous linear equation where h(t) ≀ t and a(t) is an oscillating function. We apply the comparison method based on the Bohl-Perron type theorem. Coefficients and delays are not assumed to be continuous. Some real-world appli