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Acknowledgements
This thesis would not have been successful without the help of mentioned people
here, I would like to grab this opportunity to give a big thanks for them.
First of all, I would like to address my gratitude to my supervisors Dr. Rattikan
Saelim and Dr. Pakwan Riyapan for their invaluable assistance encouragement and
helpful guidance during my study.
Secondly, I would also like to acknowledge Faculty of Science and Technology,
Prince of Songkla University for providing Science Achievement Scholarship of
Thailand (SAST), the Graduate School, Prince of Songkla University, the Centre of
Excellence in Mathematics (CEM), the Commission on Higher Education, Thailand,
and the Erasmus Mundus Mobility with Asia (EMMA).
Thirdly, I would like to acknowledge all lecturers of Applied Mathematics at
Department of Mathematics and Computer Science, Faculty of Science and
Technology, Prince of Songkla University, Pattani Campus.
Fourthly, I would like to thank Prof. Marc Diener and Prof. Francine Diener for many
kinds and good suggestions during my research working at Université de Nice-
Sophia Antipolis, Nice, France.
Many thanks to my friends for best memories, their best laughs, their jokes, and their
joint activities together that help me to be relax and happy during my study.
Finally, I would like to say a huge thanks my family for their encouragement in all
aspects, their praying, and their understanding throughout this study.
Chakkraphong Tomood