In this paper, we estimate Liapunov-type integral inequalities for a single, cycled, and coupled dynamic system of one-dimensional p-Laplacian problems with weight functions having stronger singularities.

Introduction We have all heard the old joke of school being all about the three “R’s”, Reading ‘Ritin and ‘Rithmatik, but because of increasing class sizes and reported lack of instruction time, writing has been passed over for the more “important” subjects. The advent of computers and the increasing ease of word processing have given teachers the ultimate excuse, but most beginning composition...

In this article, we study the piezoelectric beams with thermal and magnetic effects in presence of a nonlinear damping term acting on mechanical equation. First, prove that system is well-posed sense semigroup theory. And by constructing suitable Liapunov functional, show general decay result solution for from which polynomial exponential are only special cases. Furthermore, our does not depend...