Abstract Contact geometry allows us to describe some thermodynamic and dissipative systems. In this paper we introduce a new geometric structure in order time-dependent contact systems: cocontact manifolds. Within setting develop the Hamiltonian Lagrangian formalisms, both regular singular cases. case, present constraint algorithm aiming find submanifold where solutions exist. As particular cas...

Recently, much emphasis has given to study the control and maintenance of production inventories of the deteriorating items. Rework is one of the main issues in reverse logistic and green supply chain, since it can reduce production cost and the environmental problem. Many researchers have focused on developing rework model, but few of them have developed model for deteriorating items. Due to t...

periodontal ligament is a thin layer of soft tissue that connects root of a tooth to the surrounding alveolar bone. these ligaments play an important role in initiating tooth movement when loads are applied to teeth with orthodontic appliances. the majority of such soft tissues exhibit as viscoelastic bodies or have a time-dependent behavior. due to the viscoelastic behavior of the periodontal ...