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New stability and boundedness results of Liénard type equations with multiple deviating arguments

✍ Scribed by Cemil Tunc

Book ID
111505932
Publisher
Allerton Press, Inc.
Year
2010
Tongue
English
Weight
502 KB
Volume
45
Category
Article
ISSN
1068-3623

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Boundedness of solutions for a class of
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Consider the Liénard equation with a deviating argument where f, g 1 and g 2 are continuous functions on R = (-∞, +∞), τ (t) ≥ 0 is a bounded continuous function on R, and e(t) is a bounded continuous function on R + = [0, +∞). We obtain some new sufficient conditions for all solutions and their de

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By means of Mawhin's continuation theorem, a class of p-Laplacian type differential equation with a deviating argument of the form is studied. A new result, related to β(t) and the deviating argument τ (t, |x| ∞ ), is obtained. It is significant that the growth degree with respect to the variable x