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Existence of periodic solution of second order impulsive differential equations

Author: DuYongQiang
Tutor: FangHui
School: Kunming University of Science and Technology
Course: Applied Mathematics
Keywords: Critical Point Theory Impulsive differential equation Periodic Solutions Saddle point theorem The least action principle
CLC: O175
Type: Master's thesis
Year: 2010
Downloads: 13
Quote: 0
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Abstract


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.

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CLC: > Mathematical sciences and chemical > Mathematics > Mathematical Analysis > Differential equations, integral equations
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