ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR 2nTH-ORDER BOUNDARY VALUE PROBLEMS 被引量：3

ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR 2nTH-ORDER BOUNDARY VALUE PROBLEMS

导出

摘要 In this paper, by using the Leray-Schauder continuation theorem, we establish the existence and uniqueness theorems of solutions of two-point boundary value problems for 2nth-order nonlinear differential equations with nonlinear growth. In this paper, by using the Leray-Schauder continuation theorem, we establish the existence and uniqueness theorems of solutions of two-point boundary value problems for 2nth-order nonlinear differential equations with nonlinear growth.

作者 PeiMinghe SungKagChang

机构地区 Dept.ofMath. Dept.ofMath.

出处《Annals of Differential Equations》 2005年第2期183-191,共9页 微分方程年刊（英文版）

基金 The Project-sponsored by SRF for ROCS, SEM.

关键词 2nth-order nonlinear differential equations two-point boundary value problem EXISTENCE UNIQUENESS 2nth-order nonlinear differential equations, two-point boundary value problem, existence, uniqueness

分类号 O175.8 [理学—基础数学]

引文网络
相关文献

同被引文献10

1高云柱,裴明鹤.高阶m-点边值问题多个正解的存在性[J].北华大学学报（自然科学版）,2007,8(1):1-7. 被引量：2
2王春林,胡适耕,黄正海,程时杰.非线性项有非线性增长的高阶多点边值问题[J].应用数学,1997,10(1):37-41. 被引量：1
3[1]Chaitan P,Gupta V,Lakshmikantham.Existence and Uniqueness Theorems for a Third-order Three-point Boundary Value Problems[J].Nonlinear Analysis,1991,16:949-957.
4[2]Rao DRS,Murthy KN,Rao AS.On Three Point Boundary Value Problems Associated with Third ORder Differential Equation[J].Nonlinear Analysis,1981,5:669-673.
5[5]AR Aftabizadeh,Chaitan P Gupta,Jianming Xu.Existence and Uniqueness Theorems for Three-point Boundary Value Problems[J].Siam J Math Anal,1989,22:716-726.
6A.R.Aftabizadeh,Chaitan P.Gupta,and Jianming Xu.Existence and uniqueness theorems for three-point boundary value problems[].SIAM Journal on Mathematical Analysis.1989
7Gupta C P,Lakshmikantham V.Existence and uniqueness theorems fora third-order three points boundary value problems[].Nonlinear Analysis.1991
8Rao D. R. K. S,Murthy K. N,Rao A. S.On Three-point Boundary Value Problems Associated with Third Order Differential Equations[].Nonlinear Analysis.1981
9.ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR 2nTH-ORDER BOUNDARY VALUE PROBLEMS[].Annals of Differential Equations.2005
10ZHANG Fubao(Department of Mathematics, Shandong University, Jinan 250100, China).THREE-POINT BOUNDARY VALUE PROBLEMSFOR A CLASS OF THREE ORDER DIFFERENTIAL INCLUSIONS[J].Systems Science and Mathematical Sciences,1998,11(2):144-149. 被引量：2

引证文献3

1张继兵.非线性n阶n点边值问题解的存在性和惟一性[J].北华大学学报（自然科学版）,2007,8(6):484-487. 被引量：1
2Gao Yunzhu Pei Minghe.EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR HIGHER ORDER NONLINEAR THREE-POINT BOUNDARY VALUE PROBLEMS[J].Annals of Differential Equations,2007,23(4):405-409.
3PEI Ming-he,Sung-Kag Chang.Existence and Uniqueness of Solutions for Higher Order Nonlinear Multi-point Boundary Value Problems[J].Chinese Quarterly Journal of Mathematics,2009,24(2):258-266. 被引量：7

二级引证文献8

1张继兵,高云柱.非线性抛物型方程解的唯一性和比较原理[J].北华大学学报（自然科学版）,2008,9(5):403-407. 被引量：2
2胡金燕,孔令彬.二阶非线性周期边值问题的正解[J].大庆石油学院学报,2011,35(5):97-101. 被引量：1
3刘雪婷,黄永奎,裴明鹤.一类n阶常微分方程周期边值问题的可解性[J].北华大学学报（自然科学版）,2013,14(1):22-27. 被引量：1
4顿调霞,李永祥.n阶常微分方程正周期解的存在性[J].黑龙江大学自然科学学报,2015,32(1):26-31.
5高福顺,姜元政.基于双二次B样条的拟插值算子的构造[J].北华大学学报（自然科学版）,2015,16(4):421-426.
6王和香,胡卫敏.一类具p-Laplacian算子的无穷多点边值问题正解的存在性[J].四川师范大学学报（自然科学版）,2016,39(5):691-695. 被引量：3
7李永祥,郭兰珺.完全2n阶常微分方程的奇周期解[J].西北师范大学学报（自然科学版）,2018,54(1):5-8. 被引量：1
8王和香,张四保,刘珍,席小忠,胡卫敏.含p-Laplacian算子的无穷多点边值问题解的存在性[J].数学的实践与认识,2019,49(4):267-272. 被引量：1

1马如云.POSITIVE SOLUTIONS OF FOURTH-ORDER TWO-POINT BOUNDARY VALUE PROBLEMS[J].Annals of Differential Equations,1999,15(3):305-313. 被引量：16
2Jing Xiao, Zhiguo Luo Dept. of Math., Hunan Normal University, Changsha 410081.SOLVABILITY OF A THREE-POINT BOUNDARY VALUE PROBLEM WITH NONLINEAR GROWTH[J].Annals of Differential Equations,2010,26(1):70-76.
3ZHANGHui-xing LIUWen-bin ZHANGJian-jun CHENTai-yong.Existence of Solutions for Second Order Three-Point Boundary Value Problems with Nonlinear Growth[J].Journal of China University of Mining and Technology,2005,15(2):163-166. 被引量：2
4戚仕硕.Existence of Multiple Positive Solutions for Fourth Order Two-point Boundary Value Problems[J].Northeastern Mathematical Journal,2002,18(1):63-72. 被引量：1
5居乃旦.ON THE EXISTENCE AND UNIQUENESS THEOREMS OF LIMIT CYCLES OF NONLINEAR AUTONOMOUS SYSTEMS[J].Chinese Science Bulletin,1966,24(5):193-194.
6俞成,高国柱.EXISTENCE OF SOLUTIONS TO NONLINEAR TWO POINTS BOUNDARY VALUE PROBLEMS OF SECOND ORDER ORDINARY DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,2003,19(4):566-570.
7Kai Wang (School of Statistics and Applied Math., Anhui University of Finance and Economics, Bengbu 233030, Anhui).NEW RESULTS ON THE EXISTENCE OF PERIODIC SOLUTIONS TO LINARD EQUATION[J].Annals of Differential Equations,2009,25(4):438-442.
8Zhang Zhengqiu Wang ZhichengDept.ofAppl.Math.,HunanUniv.,Changsha410082,China.PERIODIC SOLUTIONS OF THIRD-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS[J].Applied Mathematics(A Journal of Chinese Universities),2002,17(2):145-154. 被引量：2
9李志阐,杨庆季.THE DIRICHLET PROBLEM FOR DIFFUSION EQUATION[J].Chinese Annals of Mathematics,Series B,1989,10(3):301-311.
10章梅荣,韩云瑞.ON THE APPLICATIONS OF LERAY-SCHAUDER CONTINUATION THEOREM TO BOUNDARY VALUE PROBLEMS OF SEMILINEAR DIFFERENTIAL EQUATIONS[J].Annals of Differential Equations,1997,13(2):189-207.

Annals of Differential Equations

2005年第2期

浏览历史

内容加载中请稍等...

ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR 2nTH-ORDER BOUNDARY VALUE PROBLEMS 被引量：3

同被引文献10

引证文献3

二级引证文献8

相关作者

相关机构

相关主题

浏览历史