摘要： This research explores the initial-boundary value problem for the 2×2 hyperbolic systems of balance laws whose sources are the time-dependent and contain the integral of unknowns. Perturbed Riemann and boundary Riemann problems are provided to account for the time-dependence of sources. Their approximation solutions are constructed by modified Lax’s method. In addition, we introduce a new version of Glimm scheme (GGS) and study its stability which is proved by the wave interaction estimates in a dissipativity assumption. With the consistency of GGS, the existence of a global weak solution satisfying the entropy inequality is then achieved. Finally the Lipschitz continuous solution to the problem is established by the weak convergence of the residual. 出版者： Elsevier Ltd 出版日期： 2012-10-01 出處： Nonlinear analysis, 2012-10, Vol.75 (15), p.5933-5960 資源來源： Elsevier ScienceDirect Journals Complete 版權： 2012 Elsevier Ltd 識別號： ISSN: 0362-546X 識別號： EISSN: 1873-5215 識別號： DOI: 10.1016/j.na.2012.06.006
