The generalized differential equation ẋ ϵ R(t, x)
نویسندگان
چکیده
منابع مشابه
Ju l 2 00 9 On the small – amplitude approximation to the differential equation ẍ + ( 1 + ẋ 2 ) x = 0
We obtain the radius of convergence of the small–amplitude approximation to the period of the nonlinear oscillator ẍ + (1 + ẋ2)x = 0 with the initial conditions x(0) = A and ẋ(0) = 0 and show that the inverted perturbation series appears to converge smoothly from below. The interest in the nonlinear oscillator ẍ(t) + [1 + ẋ(t)]x(t) = 0 x(0) = A, ẋ(0) = 0 (1) apparently arouse from the fact that...
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Article history: Received 22 May 2009 Received in revised form 13 September 2009 Accepted 15 September 2009 Available online 19 September 2009 Communicated by A.R. Bishop PACS: 02.30.Jr 02.60.Cb 02.60.Lj
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1970
ISSN: 0001-8708
DOI: 10.1016/0001-8708(70)90020-4