变系数二阶常微分系统Neumann边值问题正解的存在性

2023-04-29 00:44孙晓玥
吉林大学学报(理学版) 2023年2期
关键词:責任边值问题二阶

孙晓玥

参考文献

[1] JIANG D Q,LIU H Z. Existence of Positive Solutions to Second Order Neumann Boundary Value Problem [J].

J Math Res Exposition,2000,20(3): 360-364.

[2] SUN J P,LI W T,CHENG S S. Three Positive Solutions for Second-Order Neumann Boundary Value Problems [J].

Appl Math Lett,2004,17(9): 1079-1084.

[3] SUN Y,CHO Y J,OREGAN D. Positive Solutions for Singular Second Order Neumann Boundary Value Problems via a Cone Fixed Point Theorem [J].

Appl Math Comput,2009,210(1): 80-86.

[4] CHEN T L,MA R Y. Positive Solutions for a Class of Semipositone Neumann Problems [J/OL]. Bound Value Probl,

(2016-01-21)[2022-05-03]. https://doi.org/10.1186/s13661-016-0528-4.

[5] KO E,RAMASWAMY M,SHIVAJI R. Uniqueness of Positive Radial Solutions for a Class of Semipositone Problems on the Exterior of a Ball

[J]. J Math Anal Appl,2015,423(1): 399-409.

[6] MA R Y,GAO H L. Multiple Positive Solutions for a Class of Semipositone Neumann Problems with Singular φ-Laplacian

[J]. Acta Math Sci: Ser B (Engl Ed),2017,37(5): 1472-1482.

[7] 张丽颖,王丽颖,李晓月. 奇异二阶微分系统Neumann边值问题的多重正解 [J]. 应用数学学报,2008,31(6): 1035-1045.

(ZHANG L Y,WANG L Y,LI X Y. Multiplicity of Positive Solutions to Second Order Singular  Neumann Boundary Value Problems of Differential Systems

[J]. Acta Mathematicae Applicatae Sinica,2008,31(6): 1035-1045.)

[8] YAN D M,ZHANG Q,PAN Z G. Existence of Positive Solutions for Neumann Boundary Value Problem with a Variable Coefficient

[J/OL]. Int J Differ Equ,(2011-10-10)[2022-05-03]. https://doi.org/10.1155/2011/376753.

[9] 闫东明. 变系数二阶Neumann边值问题正解的存在性 [J]. 高校应用数学学报A辑,2013,28(4): 477-487. (YAN D M. Existence of Positive Solutions for

Second-Order Neumann Boundary Value Problems with Variable Coefficients [J]. Applied Mathematics A Journal of Chinese Universities (Series A),2013,28(4): 477-487.)

[10] HAI D D,SHIVAJI R. Positive Radial Solutions for a Class of Singular Superlinear Problems on the Exterior of a Ball with Nonlinear Boundary Conditions

[J]. J Math Anal Appl,2017,456(2): 872-881.

(責任编辑: 赵立芹)

猜你喜欢
責任边值问题二阶
非线性n 阶m 点边值问题正解的存在性
ABSTRACTS
带有积分边界条件的奇异摄动边值问题的渐近解
ABSTRACTS
一类二阶迭代泛函微分方程的周期解
一类二阶中立随机偏微分方程的吸引集和拟不变集
二阶线性微分方程的解法
谁的责任
本月来信之最
一类二阶中立随机偏微分方程的吸引集和拟不变集