%0 Journal Article %T THE POSITIVE SOLUTION OF LINEAR INTEGRODIFFERENTIAL EQUATIONS
线性积-微分迁移方程的正解 %A SHAO CHEN %A YANG MING-ZHU %A
邵琛 %J 系统科学与数学 %D 1992 %I %X In this paper,the existence of positive Neumann series solution for the stationary,the sta-tionary anisotropic,and energy-dependent transport equation in bounded convex inhomogene-ous media with vacuum boundary condition is discussed transport equation,in bodunded con-vex inhomogeneous media with vacuum boundary condition is discussed,and the relation be-tween the condition of the existence of a positive solution and the properties of transport mediais explored.By constructing new operators,a condition under which the equation possessesunique positive solution is given.In addition,the dominant eigenvalue of the transport op-erator is estimated and the asymptotic property of the solution for the time-dependent equa-tion is described. %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=FB563A33DD7468387AE8F4659D49E0B0&yid=F53A2717BDB04D52&vid=59906B3B2830C2C5&iid=E158A972A605785F&sid=9DC563A0FEFC04F9&eid=9D9F10A828991FA6&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=0&reference_num=0