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math.CA2019
On the integrability of the Abel and of the extended Liénard equations
Man Kwong Mak, Tiberiu Harko
We present some exact integrability cases of the extended Liénard equation $y^{\prime \prime }+f\left( y\right) \left(y^{\prime }\right)^{n}+k\left( y\right) \left(y^{\prime }\righ…
math.CA2017★ 1 cited
Approximate Analytical Solution for the Dynamic Model of Large Amplitude Non-Linear Oscillations Arising in Structural Engineering
J. A. Belinchon, T. Harko, M. K. Mak
In this work we obtain an approximate solution of the strongly nonlinear second order differential equation $\frac{d^{2}u}{dt^{2}}+ω^{2}u+αu^{2}\frac{d^{2}u}{dt^{2}}+αu\left( \frac…