Existence of periodic solutions for a class of p-Laplacian equations
1 School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin, 130024, P.R. China
2 College of Mathematics, Jilin University, Changchun, Jilin, 130012, P.R. China
3 College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, P.R. China
Boundary Value Problems 2013, 2013:96 doi:10.1186/1687-2770-2013-96Published: 19 April 2013
This paper is devoted to the existence of periodic solutions for the one-dimensional p-Laplacian equation
where (), . By using some asymptotic interaction of the ratios and with the Fučík spectrum of related to periodic boundary condition, we establish a new existence theorem of periodic solutions for the one-dimensional p-Laplacian equation.