Title of article
Periodic bouncing solutions for attractive singular second-order equations Original Research Article
Author/Authors
Xiying Sun، نويسنده , , Dingbian Qian، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
7
From page
4751
To page
4757
Abstract
In this paper, by using an approximation approach and phase-plane analysis for the successor map of the impact oscillator, we obtain an existence result for periodic bouncing solutions for a second-order forced equation, x″+g(x)=p(t)x″+g(x)=p(t) (where gg has an attractive singularity), which improves on the previous result in the conditions for both gg and pp.
Keywords
Impact oscillator , Attractive singularity , Periodic solution , Successor map , Poincaré–Birkhoff twist theorem
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861584
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