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Existence and uniqueness of quasiperiodic solutions to perturbed nonlinear oscillators

✍ Scribed by Zulfikar Ali; Yoshitane Shinohara; Hitoshi Imai; Hideo Sakaguchi; Kuniya Okamoto


Publisher
Japan Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
647 KB
Volume
15
Category
Article
ISSN
0916-7005

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We study the existence and approximation of a nontrivial positive solution for a nonlinear ordinary differential equation of second order. To prove the uniqueness of positive solutions, we use some estimates of the error between exact and approximate solutions. The equation arises in the study of so