In this paper, we consider the -capture problem in a differential game with inertial objects (a pursuer and an evader). These objects have controls that are subject to integral constraints and start with identical initial velocity vectors in Euclidean space. We propose an approach strategy for the pursuer to solve the problem, and we also find a sufficient condition for -capture. Furthermore, we introduce the concept of a guaranteed time of -capture. Our strategy is based on Chikrii's method of resolving functions. The pursuer aims to approach the evader at a specific distance, while the evader tries to avoid the -approach or, if that's not possible, delay the occurrence of the -approach.