This paper is devoted to the study of second-order Duffing equation with singularity at the origin, where? tends to positive infinity as , and the primitive function as . By applying the phase-plane analysis methods a...This paper is devoted to the study of second-order Duffing equation with singularity at the origin, where? tends to positive infinity as , and the primitive function as . By applying the phase-plane analysis methods and Poincaré-Bohl theorem, we obtain the existence of harmonic solutions of the given equation under a kind of nonresonance condition for the time map.展开更多
文摘This paper is devoted to the study of second-order Duffing equation with singularity at the origin, where? tends to positive infinity as , and the primitive function as . By applying the phase-plane analysis methods and Poincaré-Bohl theorem, we obtain the existence of harmonic solutions of the given equation under a kind of nonresonance condition for the time map.
