Approximate conditions admitted by classes of the Lagrangian $\mathcal{L}=\frac{1}{2}\left(-u^{\prime 2}+u^2\right)+{\epsilon }^i{G}_i(u,u^{\prime },u^{\prime \prime })$

Sameerah Jamal, Nkosingiphile Mnguni

We investigate a class of Lagrangians that admit a type of perturbed harmonic oscillator which occupies a special place in the literature surrounding perturbation theory. We establ…