IMPULSIVE PERIODIC SOLUTIONS FOR SINGULAR PROBLEMS VIA VARIATIONAL METHODS

被引：12

作者：

Sun, Juntao ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Shandong Univ Technol, Sch Sci, Zibo 255049, Shandong, Peoples R China

[2] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2012年 / 86卷 / 02期

关键词：

Periodic solutions; impulse; singular problems; variational methods; mountain pass theorem; 2ND-ORDER DIFFERENTIAL-EQUATIONS; BOUNDARY-VALUE-PROBLEMS; PULSE VACCINATION; SYSTEMS; MULTIPLICITY; CONTROLLABILITY; DYNAMICS;

D O I：

10.1017/S0004972711003509

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study impulsive periodic solutions for second-order nonautonomous singular differential equations. Our proof is based on the mountain pass theorem. Some recent results in the literature are extended.

引用

页码：193 / 204

页数：12

共 50 条

[41] ON THE SINGULAR VARIATIONAL PROBLEMS
谭经刚
杨健夫
Acta Mathematica Scientia, 2004, (04) : 672 - 690
[42] On the singular variational problems
Tan, JG
Yang, JF
ACTA MATHEMATICA SCIENTIA, 2004, 24 (04) : 672 - 690
[43] Periodic solutions for sublinear systems via variational approach
Ding, Wei
Qian, Dingbian
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 2603 - 2609
[44] Multiplicity of Periodic Bouncing Solutions for Sublinear Damped Variation Systems via Nonsmooth Variational Methods
Wang, Si Qi
Guo, Fei
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (07) : 1332 - 1350
[45] Multiplicity of Periodic Bouncing Solutions for Sublinear Damped Variation Systems via Nonsmooth Variational Methods
Si Qi Wang
Fei Guo
Acta Mathematica Sinica, English Series, 2023, 39 : 1332 - 1350
[46] Multiplicity of Periodic Bouncing Solutions for Sublinear Damped Variation Systems via Nonsmooth Variational Methods
Si Qi WANG
Fei GUO
ActaMathematicaSinica,EnglishSeries, 2023, (07) : 1332 - 1350
[47] Weak solutions to boundary value problems for fractional differential equations via variational methods
Li, Peiluan
Xu, Changjin
Wang, Hui
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2971 - 2981
[48] Infinitely many solutions for nonlinear fractional boundary value problems via variational methods
Chai, Guoqing
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[49] EXISTENCE AND MULTIPLE SOLUTIONS FOR DISCRETE DIRICHLET BOUNDARY VALUE PROBLEMS VIA VARIATIONAL METHODS
Liu, Xia
Zhang, Yuanbiao
Shi, Haiping
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2013, 75 (02): : 47 - 56
[50] Infinitely many solutions for nonlinear fractional boundary value problems via variational methods
Guoqing Chai
Advances in Difference Equations, 2016

← 1 2 3 4 5 →