In this paper, the closed form analytical expressions for the displacement field due to a cylindrical inclusion in a thermoelastic half-space are obtained. These expressions are derived in the context of steady-state uncoupled thermoelasticity using thermoelastic displacement potential functions. The thermal displacement field is generated due to differences in the coefficients of linear therma...

This paper studies a relational contracting model in which the agent is protected by a limited liability constraint. The agent’s effort is his private information and affects the output stochastically. We characterize the optimal relational contract and compare the dynamics of the relationship with that under the optimal long-term contract. Under the optimal relational contract, the relationshi...

The paper addresses informational interactions in a community and considers the dynamics of concepts that represent distribution of knowledge among the individuals. The evolution of a set of concepts maintained by a community is derived by the use of the concepts’ significance in the communication between “cognoscenti” and “dilettanti” and of birth-death processes. The dynamics of concepts depe...

On the basis of literature sources analysis, paper provides rationale for necessity considering limited digital devices capabilities when designing closed control systems complex electrical power grids. The problem design is decomposed into two subproblems: current state observation vector transmission and controlled process estimation; optimal calculation, actions realization. presents conside...

Ordinary differential equation models have become a wide-spread approach to analyze dynamical systems and understand underlying mechanisms. Model parameters are often unknown and have to be estimated from experimental data, e.g., by maximum-likelihood estimation. In particular, models of biological systems contain a large number of parameters. To reduce the dimensionality of the parameter space...

Abstract T he return of capital is fundamental to the intertemporal allocation of resources by changing the consumption behavior and capital accumulation over time. Taxation on return of capital increases the marginal product of capital, meaning that capital stock is lower than when capital is not taxed, which results decreased growth and welfare in steady state. This pape...