Disclosed is a method for the prevention and/or treatment of a chronic obstructive pulmonary disease by administrating a 5-membered cyclic compound represented by the formula below: or a pharmaceutically acceptable salt of the compound or a prodrug of the compound or salt: wherein X represents an oxygen or sulfur atom; R1 represents a hydrogen atom, a substituted or unsubstituted alkyl or the like; R2 represents a hydrogen atom, a substituted or unsubstituted alkyl or the like; Y1 represents single bond, a substituted or unsubstituted alkylene or the like; the wavy line means an (E) or (Z) coordination; R3 represents a hydrogen atom, a substituted or unsubstituted aryl or the like; Y2 represents a substituted or unsubstituted alkylene or an alkenylene; R4 represents a hydrogen atom, a substituted or unsubstituted alkanoyl or the like; and R5 represents a hydrogen atom or a substituted or unsubstituted alkyl.