PERIODIC SOLUTIONS FOR INDEFINITE SINGULAR EQUATIONS WITH SINGULARITIES IN THE SPATIAL VARIABLE AND NON-MONOTONE NONLINEARITY

被引：2
|
作者：
Amster, Pablo [1 ]
Zamora, Manuel [2 ]
机构：
[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Pabellon 1, RA-1428 Buenos Aires, DF, Argentina
[2] Univ Oviedo, GISDA, C Federico Garcia Lorca 18, Oviedo, Spain
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2018年 / 38卷 / 10期
关键词：
Singular differential equations; indefinite singularity; periodic solutions; degree theory; Leray-Schauder continuation theorem; DIFFERENTIAL-EQUATIONS; 2-BODY PROBLEM; PHI-LAPLACIAN; SPHERE;
D O I：
10.3934/dcds.2018211
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
TWe prove the existence of T-periodic solutions for the second order non-linear equation (u'/root 1-u'(2))' = h(t)g(u), where the non-linear term g has two singularities and the weight function h changes sign. We find a relation between the degeneracy of the zeroes of the weight function and the order of one of the singularities of the non-linear term. The proof is based on the classical Leray-Schauder continuation theorem. Some applications to important mathematical models are presented.
引用
收藏
页码：4819 / 4835
页数：17
相关论文
共 50 条
12345