一类非线性二阶半正周期问题正解的存在性

王晶璇

doi:10.13718/j.cnki.xsxb.2023.07.006

李朝倩. 一类格林函数变号的二阶Neuman问题正解的存在性[J]. 西南师范大学学报(自然科学版), 2020, 45(12): 43-47.

杨晓梅, 路艳琼. 一类变系数二阶离散Neumann边值问题正解的存在性[J]. 西南师范大学学报(自然科学版), 2020, 45(11): 18-26.

祝岩. 一类带有变号权函数的二阶系统周期边值问题正解的存在性[J]. 西南师范大学学报(自然科学版), 2019, 44(8): 39-44.

马满堂. 一类非线性二阶常微分方程周期问题正解的存在性[J]. 四川大学学报(自然科学版), 2018, 55(4): 693-697. doi: 10.3969/j.issn.0490-6756.2018.04.007

GRAEF J R, KONG L J, WANG H Y. Existence, Multiplicity, and Dependence on a Parameter for a Periodic Boundary Value Problem[J]. Journal of Differential Equations, 2008, 245(5): 1185-1197. doi: 10.1016/j.jde.2008.06.012

GRAEF J R, KONG L J, WANG H Y. A Periodic Boundary Value Problem with Vanishing Green's Function[J]. Applied Mathematics Letters, 2008, 21(2): 176-180. doi: 10.1016/j.aml.2007.02.019

ATICI F M, GUSEINOV G S. On The Existence of Positive Solutions for Nonlinear Differential Equations with Periodic Boundary Conditions[J]. Journal of Computational and Applied Mathematics, 2001, 132(2): 341-356. doi: 10.1016/S0377-0427(00)00438-6

XU J, MA R Y. Bifurcation from Interval and Positive Solutions for Second Order Periodic Boundary Value Oroblems[J]. Applied Mathematics and Computation, 2010, 216(8): 2463-2471. doi: 10.1016/j.amc.2010.03.092

马如云, 高承华. 二阶常微分方程周期解的全局分歧[J]. 数学物理学报, 2009, 29(5): 1223-1232.

MA R Y, XU J, HAN X L. Global Structure of Positive Solutions for Superlinear Second-Order Periodic Boundary Value Problems[J]. Applied Mathematics and Computation, 2012, 218(10): 5982-5988. doi: 10.1016/j.amc.2011.11.079

MA R Y, GAO C H, CHEN R P. Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems[J]. Boundary Value Problems, 2010, 2010(1): 1-18.

WANG H Y. On the Number of Positive Solutions of Nonlinear Systems[J]. Journal of Mathematical Analysis Applications, 2003, 281(1): 287-306.

ZHANG Z X, WANG J Y. On Existence and Multiplicity of Positive Solutions To Periodic Boundary Value Problems for Singular Nonlinear Second-Order Differential Equations[J]. Journal of Mathematical Analysis and Applications, 2003, 281(1): 99-107.

JIANG D Q, CHU J F, ZHANG M R. Multiplicity of Positive Periodic Solutions to Superlinear Repulsive Singular Equations[J]. Journal of Differential Equations, 2005, 211(2): 282-302.

DEIMLING K. Nonlinear Functional Analysis[M]. Berlin: Springer, 1985.

郭大钧. 非线性泛函分析[M]. 3版. 北京: 高等教育出版社, 2015.