Antiperiodic Solutions for Liénard-Type Differential Equation with p-Laplacian Operator

Antiperiodic problems arise naturally from the mathematical models of various of physical processes see 1, 2 , and also appear in the study of partial differential equations and abstract differential equations see 3–5 . For instance, electron beam focusing system in travelling-wave tube’s theories is an antiperiodic problem see 6 . During the past twenty years, antiperiodic problems have been studied extensively by numerous scholars. For example, for first-order ordinary differential equations, a Massera’s type criterion was presented in 7 and the validity of the monotone iterative technique was shown in 8 . Moreover, for higher-order ordinary differential equations, the existence of antiperiodic solutions was considered in 9–12 . Recently, existence results were extended to antiperiodic boundary value problems for impulsive differential equations see 13 , and antiperiodic wavelets were discussed in 14 . Wang and Li see 15 discussed the existence of solutions of the following antiperiodic boundary value problem for second-order conservative system: