一类非线性Chandrasekhar　H－方程的正解

ON THE POSITIVE SOLUTIONS FOR A CLASS OF NONLINEAR CHANDRASEKHAR'S H-EQUATIONS

本文通过研究一类非线性算子方程解的存在性，建立了一类出现在辐传理论与气体动力学中的非线性ＣｈａｎｄｒａｓｅｋｈａｒＨ－方程正解或负解的存在性定理．本文的几个定理包含或改进了ＲｉｃｈａｒｄＷ．Ｌｅｇｇｅｔｔ和Ｃ．Ａ．Ｓｔｕａｒｔ等人的一些已知结果．

in this paper,by studying the existence of solutions of some nonlinear operater equations,we establish some existence theorems of positive or negative solutions for a class of nonlinear Chandrasekhar's H-equationswhich arise in the theory of radioactive transfer and in the kinetic theory of gases.The theorems in this paper have embraced or improved upon some known results of Richard W.Leggett,C.A.Stuart and others.