Existence Results for Nonlinear Impulsive $q_k$-integral Boundary Value Problems


Lihong Zhang, Bashir Ahmad, Guotao Wang




We investigate a nonlinear impulsive $q_k$-integral boundary value problem by means of Leray--Schauder degree theory and contraction mapping principle. The conditions ensuring the existence and uniqueness of solutions for the problem are presented. An illustrative example is discussed.