| ON THE ASYMPTOTIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS (Ⅰ) |
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| 引用本文： | 江福汝.ON THE ASYMPTOTIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR A CLASS OF SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS (Ⅰ)[J].应用数学和力学(英文版),2001(3). |
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| 作者姓名： | 江福汝 |
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| 作者单位： | Biography: JIANG Fu_ru (1927-)，ProfessorJIANG Fu_ru (Shanghai Institute of Applied Mathematics and Mechanics，Shanghai University，Shanghai 200072，P R China) (Paper from JIANG Fu_ru，Member of Editorial Committee，AMM) |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＯｗｉｎｇｔｏｔｈｅｆａｃｔｔｈａｔｔｈｅｓｏｌｕｔｉｏｎｓｏｆｔｈｅＤｉｒｉｃｈｌｅｔｐｒｏｂｌｅｍｓｆｏｒａｃｌａｓｓｏｆｓｙｓｔｅｍｓｏｆｄｉｆｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｏｆｔｈｅｆｏｒｍｕ″=ｖ ,εｖ″ ｆ(ｘ ,ｕ ,ｕ′)ｖ′ -ｇ(ｘ ,ｕ ,ｕ′)ｖ=0 ( 0 <ｘ <1,0 <ε 1) ,ｕ( 0 ;ε) =0 ,ｕ( 1;ε) =0 ,ｖ( 0 ;ε) =α ,ｖ( 1;ε) =β,( 1)ｈａｖｅｔｈｅｑｕａｌｉｔａｔｉｖｅｐｒｏｐｅｒｔｉｅｓｏｆｓｏｌｕｔｉｏｎｓｏｆａｍｏｒｅｃｏｍｐｌｉｃａｔｅｄｓｙｓｔｅ…
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