Inhomogeneous Picard-Fuchs equations of Abelian integrals in piecewise smooth near-Hamiltonian systems

Hefei Zhao, Yun Tian

In this paper, we explicitly obtain inhomogeneous Picard-Fuchs equations for Abelian integrals $I_{i,j}^{+}(h)$, where $I_{i,j}^{+}(h)$ is an integral along orbital arcs defined by pol…