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About zeros of some oscillations with dynamic friction

English

2014
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INCAS Bulletin
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English

Consider a second order differential non-linear equation having free boundary value conditions. Let be a solution having infinity of unknown zeros. The integral of energy gives the implicit correlation between the successive modules of the extreme values of oscillation. The method of successive approximations transforms this correlation into an algorithmic correlation. The decreasing sequence of the modules or local amplitudes converges to zero. For the local amplitude of oscillation inside the

doi:10.13111/2066-8201.2014.6.s1.10
fatcat:tdxcseqi3vedlb7vm3qhuk2apy