Positive solutions of second-order delay differential equations with a damping term
نویسندگان
چکیده
منابع مشابه
Positive solutions of second-order delay differential equations with a damping term
In the paper, the existence of positive solutions is studied for the second-order delay differential equation with a damping term ẍ(t)+ a(t)ẋ(t)+ b(t)x(h(t)) = 0 using a comparison with the integro-differential equation ẏ(t)+ ∫ t t0 e ∫ t s a(ξ)dξb(s)y(h(s))ds = 0. Explicit non-oscillation criteria and comparison type results are derived. © 2010 Elsevier Ltd. All rights reserved.
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For the delay differential equations ẍ(t) + a(t)ẋ(g(t)) + b(t)x(h(t)) = 0, g(t) ≤ t, h(t) ≤ t, and ẍ(t) + a(t)ẋ(t) + b(t)x(t) + a1(t)ẋ(g(t)) + b1(t)x(h(t)) = 0 explicit exponential stability conditions are obtained. c ©2008 Foundation for Scientific Research and Technological Innovation(FSRTI). All rights reserved. MSC: 34K20.
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 2010
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2010.06.014