A general Struble's technique for solving an nth order weakly non-linear differential system with damping |
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| Authors: | M Shamsul Alam M Abul Kalam Azad |
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| Institution: | a Department of Mathematics, Rajshahi University of Engineering and Technology (RUET), Kazla, Rajshahi 6204, Bangladesh
b Department of Electrical and Electronic Engineering, Rajshahi University of Engineering and Technology (RUET), Kazla, Rajshahi 6204, Bangladesh |
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| Abstract: | A general formula (based on the method of variation of parameters) has been presented for determining an approximate solution of an nth order n=2,3,… weakly non-linear differential system with several damping effects. The general solution covers the under-damped, undamped and over-damped cases. The formulation as well as determination of the solution is simple. The method is illustrated by several examples. |
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| Keywords: | Oscillation Non-oscillation Asymptotic method |
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