Existence Of Periodic Solution Of Second Order Impulsive Differential Equations |
Posted on:2011-12-22 | Degree:Master | Type:Thesis |
Country:China | Candidate:Y Q Du | Full Text:PDF |
GTID:2190330332976765 | Subject:Applied Mathematics |
Abstract/Summary: | PDF Full Text Request |
This master thesis is concerned with the existence of periodic solutions for non-autonomous second order systems with impulses in the function and the derivative by using the critical point theory. This work is composed of three chapters.Chapter 1 introduces the background of this thesis and presents some preliminary results concerning critical point theory.Chapter 2 investigates the existence of periodic solutions for non-autonomous sec-ond order systems with impulses in the function and the derivative by using the least action principle. Some existence theorems are obtained without the coerciveness as-sumption. Some related results are generalized.Chapter 3 deals with the existence of periodic solutions for non-autonomous sec-ond order systems with impulses in the function and the derivative by using the saddle point theorem. A simple criterion is established. |
Keywords/Search Tags: | Critical Point Theory, Impulsive differential equation, Periodic Solutions, Saddle point theorem, The least action principle |
PDF Full Text Request |
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