This paper studies a new approach to analyze the large deflection behavior of prismatic and non-prismatic beams of non-homogenous material under combined load and multiple boundary conditions. The mathematical formulation has been derived which led to a set of six first-order ordinary differential equations. The geometric nonlinearity was solved numerically using the multiple shooting method co...

In this paper, a Cauchy problem of non-homogenous stochastic heat equation is considered together with its inverse source problem, where the term assumed to be driven by an additive white noise. The (direct problem) determine displacement random temperature field, while reconstruct statistical properties source, i.e. mean and variance source. It proved constructivel...

The problem of oscillations detection for nonlinear systems is addressed. The notion of homogeneity in bi-limit from (Andrieu, et al., 2008) is extended to local homogeneity. Next, sufficient conditions of oscillations existence for locally homogeneous systems are formulated. The proposed approach allows one to estimate the number of limit cycles and the regions of their location. Efficiency of...

Analytical solutions for non-steady flow are an important aspect of mathematical modeling in all fields of computational science. An analytical solution provides an exact solution for a specific (simplified) test case, which then can be used to test and verify numerical solutions. Within soil physics, there has been a multitude of analytical solutions that model transient flow through onedimens...

BACKGROUND Homogeneous ventilation is important for prevention of ventilator-induced lung injury. Electrical impedance tomography (EIT) has been used to identify optimal PEEP by detection of homogenous ventilation in non-dependent and dependent lung regions. We aimed to compare the ability of volumetric capnography and EIT in detecting homogenous ventilation between these lung regions. METHOD...

In this study, we conduct a competitive equilibrium analysis for the repeated (sequential) procurement auctions. We consider capacitated suppliers (bidders), each with a U-shaped cost function that captures the economies (and dis-economies) of scale in bidding quantity. Cases with both homogenous and non-homogenous bidders are considered in a symmetric incomplete information setting. First we a...

In this paper we consider a supervisory control scheme for non-homogenous multi-agent systems. Each agent is modeled through an independent strictly proper SISO state space model, and the supervisory controller, representing the information exchange among the agents, is implemented in turn via a linear state-space model. Controllability and observability of the overall system are characterized,...