Existence and exponential stability of almost periodic solutions for a class of Lasota-Wazewska models with patch structure on time scales
In this paper, we study the almost periodic solutions for a class of Lasota-Wazewska models with patch structure on time scales. By using a fixed-point theorem and inequality techniques, some sufficient conditions are obtained which guarantee the existence and exponential stability of the almost periodic solutions. The criteria extend and improve some earlier results. Moreover, we give an examples to illustrate our main results.
We describe preliminary results from an effort to quantify the uncertainties in parton distribution functions and the resulting uncertainties in predicted physical quantities. The production cross section of the $W$ boson is given as a first example. Constraints due to the full data sets of the CTEQ global analysis are used in this study. Two complementary approaches, based on the Hessian and the Lagrange multiplier method respectively, are outlined. We discuss issues on obtaining meaningful uncertainty estimates that include the effect of correlated experimental systematic uncertainties and illustrate them with detailed calculations using one set of precision DIS data.