期刊论文详细信息
Boundary value problems | |
First order periodic problem at resonance with nonlinear impulses | |
Martina Langerov1  Pavel Drbek2  | |
[1] , Czech Republic;Department of Mathematics, University of West Bohemia, PlzeňNTIS, University of West Bohemia, Plzeň | |
关键词: impulsive differential equations; Landesman-Lazer conditions; topological degree theory; Schaeffer fixed point theorem; | |
DOI : 10.1186/s13661-014-0186-3 | |
学科分类:数学(综合) | |
来源: SpringerOpen | |
【 摘 要 】
We consider the nonlinear first order periodic problem with nonlinear impulses. We apply the Schaeffer fixed point theorem and prove the existence results under Landesman-Lazer type sufficient conditions. We formulate also necessary conditions in some special cases. The impulses can be viewed as a control which compensates the influence of external forces and vice versa. MSC: 34A37, 34B37, 34F15, 47H11.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201904022293144ZK.pdf | 262KB | download |