Anti-periodic Boundary Value Problems of φ -Laplacian Impulsive Differential Equations

This paper concerned with the existence of solutions of anti-periodic boundary value problems for impulsive differential equations with φ -Laplacian operator. Firstly, the definition a pair of coupled lower and upper solutions of the problem is introduced. Then, under the approach of coupled upper and lower solutions together with Nagumo condition, we prove that there exists at least one solution of anti-periodic boundary value problems for impulsive differential equations with φ -Laplacian operator.