一类高阶奇异非线性微分方程组边值问题正解存在性和多重性
The Existence and Multiplicity of Positive Solutions for High-order Nonlinear Ordinary Differential Systems
摘要
利用锥上的不动点定理,研究了带有独立参数的非线性2p-2q阶奇异常微分方程组正解的存在性和多重性.
In this paper,by applying the fixed point theorem,we study the existence of positive solutions of 2p-2q order differential equation systems with two different parameters,we show that the systems has one or two positive solutions when λ and μ belong to different open intervals respectively.
出处
《陇东学院学报》
2010年第5期1-5,共5页
Journal of Longdong University
关键词
高阶奇异微分方程组
正解
锥
不动点定理
High-order differential systems
Positive solution
Cone
Fixed point theorem
参考文献19
-
1A. M. Fink, J. A. Gatica, Positive solutions of second order systems of boundaryvalue problem[ J ]. J. Math. Anal. Appl. 180 (1993) :93 - 108. 17.
-
2R. Ma, Existence of positive radial solutions for elliptic systems[J]. J. Math. Anal. Appl. 201 (1996) :3-15 -386.
-
3R. Ma, Mulitiplicity nonnegative solutions of second-order systems of boundary value problems[J]. Nonlinear Anal. 42 (2300) : 1033 - 1010.
-
4H. La, H. Yu, Y. Liu, B. Yan, Positive solutions of singular boundary value problems of a coupled system of di erential equations [J]. J. Math Anal. Appl. 3(12(2005) :14-29.
-
5Y. Ru, Y. An, Positive solutions for 2p -order and 2q -order nonlinear ordinary di erential systems equations[J]. J. Math Anal. Appl. 324 (2006) :1093-1104.
-
6R. P. Agarwal, K. Perera, D. ORegan, Positive Solutions of Higher-Order Singular Problems[J]. Di erential Equations. 41 (2005) :702-705.
-
7P. Wong, R. P. Agarwal, Eigenvalues of Lidstone boundary value problems[J]. Appl. Math. Comput. 104 (1999) :15-31.
-
8R. Dalmasso, Existence and uniqueness of positive solutions of serrfilinear elliptic systems[J]. Nonlinear Anal. 39 (2000) :559 - 568.
-
9D. R. Dunninger, H. Wang, Existence and multiphcity of positive solutions for elliptic systems[J]. Nonlinear Anal. 29 (1997) : 1051 - 10fi0.
-
10D. R. Dtmninger, H. Wang, Mulitiplicity of positive radial positive solutions for an ellipticsystems on an annnulus domain[J]. Nonlinear Anal. 42 (2000) :803-811.
