# 臺灣博碩士論文加值系統

(107.21.85.250) 您好！臺灣時間：2022/01/22 04:37

:::

### 詳目顯示

:

• 被引用:0
• 點閱:147
• 評分:
• 下載:0
• 書目收藏:0
 在本論文中，我們將討論非線性常微分方程式之邊界值問題。在第一、二章中，我們探討下列廣義的Laplacian 邊界值問題： (g(u''))''=f(t,u(t),u''(t)), 0
 In this dissertation, we will study nonlinear boundary value problems for some ordinary differential equations. In chapters 1 and 2, we study the following generalized Laplacian boundary value problems : (g(u''))''=f(t,u(t),u''(t)), 0
 Chapter 1. Existence and Uniqueness of Positive Solutions for Generalized Laplacian BVP''s with Sturm-Liouville Conditions ...........……….….(1)Chapter 2. Existence of Positive Solutions for Generalized Laplacian Boundary Value Problems ……………………………………………………...(26)Chapter 3. Multiple Positive Solutions of Fourth Order Boundary Value Problems ...........................................................................………......(39)Chapter 4. Existence of Solutions for Singular Fourth Order Nonlinear Boundary Value Problems ……………………………………….…(50)
 1. R. B. Agarwal and F.H. Wong, Existence of positive solutions for higher order boundary value problems, Nonlinear Studies 5, (1998) 15-24.2. K. Deimling, Nonlinear Functional Analysis, Springer, New York, (1985).3. Dajun Guo and V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, 1988.4. Vasile I. Istratescu, Fixed Point Theory, An Introduction, Dordrecht, Holland, 1981.5. M. A. Krasnoselskii, Positive Solutions of Operator quations, Noordhoff, Groningen, 1964.6. Ma Ruyun, Wang Haiyan, On the existence of positive solutions of fourth order ordinary differential equations, Appl. Anal., 59 (1995), 225-2317. P. J. Y. Wong and R. P. Agarwal, Eigenvalues of boundary value problems for higher order differential equations, Mathematical Problems in Engineering, 2 (1996), 401-434.8. Yao Qingliu, Bai Zhanbing, Existence of positive solutions of BVP for u''(t)-r h(t)f(u(t))=0, Chinese Annals of Mathematics 20A: 5 (1999), 575-578. (In Chinese)9. Zhang Bingger, Kong Lingju, Existence of positive solutions of fourth order singular boundary value problems, Chinese Annals of Mathematics 22A: 4(2001), 397-402.(In Chinese)10. Zhang Xiaomei, Multiple nonnegative solutions of fourth order ordinary differential equations, Ann. of Diff. Eqs., 16:4 (2000), 407-413.
 國圖紙本論文
 推文當script無法執行時可按︰推文 網路書籤當script無法執行時可按︰網路書籤 推薦當script無法執行時可按︰推薦 評分當script無法執行時可按︰評分 引用網址當script無法執行時可按︰引用網址 轉寄當script無法執行時可按︰轉寄

 1 非線性高階方程邊界解的存在性 2 廣義p-Laplacian方程解的存在 3 某些非線性微分方程正解的探討

 無相關期刊

 1 關於方程式2x^2+1=3^n的研究 2 遲滯型Volterra-Stieltjes積分方程解的振盪性 3 隨機過程參數和之估計 4 二組件組合產品之故障率的非母數估計 5 遞迴網格生成法 6 非線性邊界值問題正解之探討 7 加權赫茲形式哈弟空間上的郝曼德乘算子 8 奇異積分算子的加權模不等式 9 二次西格模形式的一些性質 10 雙方程式紊流模式分析平板之過渡流場 11 分段射頻激發二氧化碳平板波導及其陣列雷射之特性研究

 簡易查詢 | 進階查詢 | 熱門排行 | 我的研究室