On a Lyapunov-Type Inequality for Control of a ψ-Model Thermostat and the Existence of Its Solutions

Author:

Rezapour ShahramORCID,Etemad SinaORCID,Agarwal Ravi P.ORCID,Nonlaopon KamsingORCID

Abstract

In this paper, a new structure of an applied model of thermostat is defined using the generalized ψ-operators with three-point boundary conditions. Some useful properties of the relevant Green’s function are established, and based on these properties, the Lyapunov-type inequality is constructed for the given extended ψ-model thermostat with the help of Jensen’s inequality. By defining mild solutions for such an extended system, the existence and non-existence conditions are discussed.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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