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"The paper deals with a nonlinear elasticity system with nonconstant coe cients. The existence and uniqueness of the solution of Neumann's problem is proved using Galerkin techniques and monotone operator theory, in Sobolev spaces with variable exponents."

AbstractThe power of the symbolic mathematics program Maple is demonstrated for teaching topics from microeconomics (the benefits of portfolio diversification) and econometrics (a geometric perspective of multicollinearity). In particular, it appears that the use of symbolic mathematics programs has excellent potential to strengthen the development and integration of graphical and algebraic intuition for a wide variety of economic problems.

We consider a mathematical model which describes the dynamic pro- cess of contact between a piezoelectric body and an electrically conductive foun- dation. We model the material's behavior with a nonlinear electro-viscoelastic constitutive law with thermal e ects. Contact is described with the Signorini condition, a version of Coulomb's law of dry friction. A variational formulation of the model is derived, and the existence of a unique weak solution is proved. The proofs are based on the classical result of nonlinear rst order evolution inequali- ties, the equations with monotone operators, and the xed point arguments.

It is important to monitor and assess the physiological strain of individuals working in hot environments to avoid heat illness and performance degradation. The body core temperature (Tc) is a reliable indicator of thermal work strain. However, measuring Tc is invasive and often inconvenient and impractical for real-time monitoring of workers in high heat strain environments. Seeking a better solution, the main aim of the present study was to investigate the Kalman filter method to enable the estimation of heat strain from non-invasive measurements (heart rate (HR) and chest skin temperature (ST)) obtained 'online' via wearable body sensors. In particular, we developed two Kalman filter models. First, an extended Kalman filter (EFK) was implemented in a cubic state space modelling framework (HR versus Tc) with a stage-wise, autoregressive exogenous model (incorporating HR and ST) as the time update model. Under the second model, the online Kalman filter (OFK) approach builds up the time update equation depending only on the initial value of Tc and the latest value of the exogenous variables. Both models were trained and validated using data from laboratory- and outfield-based heat strain profiling studies in which subjects performed a high intensity military foot march. While both the EKF and OKF models provided satisfactory estimates of Tc, the results showed an overall superior performance of the OKF model (overall root mean square error, RMSE = 0.31°C) compared to the EKF model (RMSE = 0.45°C).

The Government of Montenegro nationalized 2030 Agenda on Sustainable Development by adopting the National Strategy for Sustainable Development (NSSD) in 2016, together with a corresponding Action Plan for its implementation. The NSSD is umbrella, horizontal and long-term development strategy of Montenegro that relates not only to environment and economics, but also to human resources, valuable social capital that should ensure prosperous development, recommendations for establishing the framework of financing and governance for sustainable development. The NSSD represents strategic framework for the transposition of the UN sustainable development goals (SDGs) and its indicators into national context. The NSSD Action plan, divided into 6 thematic areas with 30 strategic goals of sustainable development of Montenegro and their 102 measures and 601 sub-measures, represents very complex mechanism for monitoring and reporting about achieving the UN sustainable development goals (SDGs) in Montenegro. Hence, measuring progress in the NSSD implementation is the focus of this research. Effective measuring of the progress in the NSSD implementation could be achieved under the following preconditions: developed coordination mechanism for reporting, methodology of designing indicators, IT support for data collection and reporting, and strengthening of inter-linkages between the EU agenda and UN 2030 Agenda.