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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
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