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一阶半线性偏微分方程组的初边值问题
An Initial-Boundary-Value Problem for a First Order Semi-linear Systems of Partial Differential Equations
【摘要】 研究一阶半线性方程组的初边值问题,得出了整体解、正解和局部解的存在唯一性、稳定性和渐近估计。
【Abstract】 The uniqueness, existence, stability and asymptotic behavior of solutions of an initial-boundary-value problem for a first order semi-linear system are studied using iteration method. The positive solution and local solution with regard to different Lipschitz conditions of the right-hand terms are also discussed.
【关键词】 初边值问题;
适定性;
渐近估计;
【Key words】 semi-linear systems; initial-boundary-value problem; stability; asymptotic behavior;
【Key words】 semi-linear systems; initial-boundary-value problem; stability; asymptotic behavior;
- 【文献出处】 中山大学学报(自然科学版) ,Acta Scifntiarum Naturalium Universitatis Sunyaatseni , 编辑部邮箱 ,1991年03期
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