| Existence and Life Span of Periodic Solutions for the First Order Quasilinear Hyperbolic Equations |
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| 作者姓名： | 王有安 王艳玲 |
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| 作者单位： | Wang Youan (Zhengzhou Grain College，Zhengzhou，450052)Wang Yanling(Zhoukou Education Committion) |
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| 摘 要： | g1.IntroductionWeconsiderthefollowingfirstorderquasilinearhyperbolicequationswithinternaIdissipa-tlveterm:U, A(U)U. F(U)=o(1.1)whereUeR2isunknownvectorfunction,A(U)is2X2knownsmoothmatrix,F(U)is2X2knownsmoothvectorfunction.Itiswell-knownthatCauchyproblemoftheequations(l.1)hasbeenwidelystudied(Ll-6J),however,theequations(l.1)withperiedicinitialdatahasbeenhardlystudiedandonesfindthatitiscomplicatedforproblemwithperiodicinitialdata.Becausetheperiodicdis-turbanceLlirectlyinfluencesthebounde…
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Existence and Life Span of Periodic Solutions for the First Order Quasilinear Hyperbolic Equations |
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| Wang Youan.Existence and Life Span of Periodic Solutions for the First Order Quasilinear Hyperbolic Equations[J].Chinese Quarterly Journal of Mathematics,1997(3). |
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| Authors: | Wang Youan |
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| Abstract: | In this paper the authors consider Cauchy problem of first order quasilinear hyperbolic and prove that existence of its periodic solutions and estimates of life span of solutions. This results reveals the relationship of dissipation and smoothness of periodic solutions. |
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| Keywords: | periodic solution dissipation life span |
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