in this paper we consider a petrovsky viscoelastic inverse source problem with memory term in the boundary condition. we obtain sufficient conditions on relaxation function and initial data for which the solutions of problem are asymptotically stable when the integral overdetermination tends to zero as time goes to infinity.

Two haptic interfaces, each able to provide either grounded or ungrounded haptic feedback, were constructed. Tests were conducted to compare a subject’s ability to perform boundary detection and object size discrimination tasks with grounded or ungrounded haptic feedback, with or without vision. Not surprisingly, grounded feedback is better than ungrounded feedback in displaying forces that ste...

The paper provides results for a non-standard, hyperbolic, 1-D, nonlinear traffic flow model on a bounded domain. The model consists of two firstorder PDEs with a dynamic boundary condition that involves the time derivative of the velocity. The proposed model has features that are important from a traffic-theoretic point of view: is completely anisotropic and information travels forward exactly...