| 二阶耦合拟线性抛物组边值问题的周期解 |
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| 引用本文： | 唐贤江.二阶耦合拟线性抛物组边值问题的周期解[J].四川大学学报(自然科学版),1988(2). |
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| 作者姓名： | 唐贤江 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文利用有限维正交投影方法证明了下述边值问题u_j1-a_j(u_j)_(xx)+σ_ju_j+f_j(t,x,u)=g_j(t,x),(t,X)∈G=(0,π)×(0,π),-α_(j1)u_(jx)+β_(j1)u_(j)|_(x=0)=0α_(j2)u_(jx)+β_(j2)u_(j)|_(x=π)=0 j=1,…,n在假设条件(4)-(6)成立时,于少有一周期解u_j∈W_1~(2,1)(G)。当a_j(u_j)=u_j时,文7]讨论了此种情形,但是我们得到的结果u_j∈w_2~2(G)且u_(jx)∈W_1~(2,1)(G),比文7]的结果强得多。
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| 关 键 词： | 周期解 边值问题 耦合拟钱性抛物方程 有限维正交投影法 |
PERIODIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR COUPLED QUASILINEAR PARABOLIC EQUATIONS OF SECOND ORDER |
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| Tang Xianjiang.PERIODIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR COUPLED QUASILINEAR PARABOLIC EQUATIONS OF SECOND ORDER[J].Journal of Sichuan University (Natural Science Edition),1988(2). |
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| Authors: | Tang Xianjiang |
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| Institution: | Tang Xianjiang |
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| Abstract: | In this paper we consider the problem of periodic solutions in t for a class of the coupled nonlinear parabolic equationsUsing the finite dimensional projection method we prove the existence of periodic solution of its boundary value problem.we improve Lin Baopia's and C. V. Pao's results in 1982, a more stronger result is obtained. |
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| Keywords: | periodic solution boundary value problem coupled quasilinear parabolic equation finite dimensional projection method |
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