In this paper we will prove the coexistence of unbounded solutions and periodic solutions for the asymmetric oscillator $\ddot{x}+f(\dot{x})+ax^{+}-bx^{-}=\varphi (t,x)$, where a and b are positive ...

We give a definition of the modular differential equations of weight k for a discrete subgroup for $\Gamma \subset SL_2(\mathbb{R})$; in this paper we set $\Gamma = SL_2(\mathbb{Z})$. We solve such ...

Time-domain finite-difference (TDFD) method is the most dominant approach for seismic wavefield simulation. Due to the memory and computational cost of the computer, finite-difference (FD) simulations ...

To tackle Fourier Series or solve Differential Equations this e-shelf provides a good starting point for revision and practice The resources below revisit complex Maths topics included your STEM ...