The qualitative behavior of solutions of differential equations mainly addresses the various questions arising in the study of the long run behavior of solutions. The contents of this thesis are related to three of the major problems of the qualitative theory, namely the stability, the boundedness and the periodicity of the solution. Learning the qualitative behavior of such solutions is crucial part of the theory of differential equations. It is important to know if a solution is bounded or unbounded or if a solution is stable. Moreover, the periodicity of a solution is also of great significance for practical purposes.

Submitted by ÉVERTON DE TOLEDO HANSER null (cebolamat@yahoo.com.br) on 2016-06-29T18:10:55Z No. of bitstreams: 1 dissertacao - Éverton.pdf: 1347372 bytes, checksum: f12e0b124e947f94dfa18b18550ab0ff (MD5) / Approved for entry into archive by Ana Paula Grisoto (grisotoana@reitoria.unesp.br) on 2016-07-04T12:23:32Z (GMT) No. of bitstreams: 1 hanser_et_me_rcla.pdf: 1347372 bytes, checksum: f12e0b124e947f94dfa18b18550ab0ff (MD5) / Made available in DSpace on 2016-07-04T12:23:33Z (GMT). No. of bitstreams: 1 hanser_et_me_rcla.pdf: 1347372 bytes, checksum: f12e0b124e947f94dfa18b18550ab0ff (MD5) Previous issue date: 2016-06-02 / O objetivo principal deste trabalho é o estudo da teoria de sistemas de equações diferenciais ordinárias autônomas e suas aplicações em modelos matemáticos, enfatizando os sistemas bidimensionais. / The main objective of this work is to study the theory of autonomous ordinary differential equations and their applications in mathematical models, emphasing the two-dimensional systems.

The following research is a qualitative theory consuming study which investigates China's actions in Kenya regarding the postcolonialism and colonialism theory. The purpose of the essay is to understand how the theory can be used in the actions between China and Kenya by answering the following questions: How has Kenya been influenced by China's development efforts from a colonial perspective, as well as in terms of political, economic, and cultural dimensions?  In what ways has China been crucial in the development work that has impacted Kenya's political, economic, and cultural dimensions, and how can the postcolonial perspective be applied to this development work? The research established the theory where postcolonialism and colonialism is described, with a following analysis where eight people living in Kenya got interviewed to be able to understand the problem and the actions from China. The research is separated into the following perspecitves, politics, economics and culture. The study concludes with a result that proves that both theories of postcolonialism and colonialism are difficult to apply to China's actions in Kenya today due to their ongoing nature.

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