Almost periodic dynamics for a delayed differential neoclassical growth model with discontinuous control strategy

Abstract

In this study, we are concerned with the existence and exponential stability issue of a delayed differential neoclassical growth model with discontinuous control strategy. By employing the Filippov’s theory and dichotomy theory, together with the Lyapunov functional method, novel criteria on existence and exponential stability are established for the addressed model. The established theoretical results extend and supplement the related results in the existing literature. Moreover, a simulation example is presented to verify the practicability of the proposed results.

Keywords

• differential neoclassical growth model
• almost periodic solution
• exponential stability
• discontinuous control strategy
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