Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X42620161218Existence and nonexistence of positive solution for sixth-order boundary value problems14511458902ENH. MirzaeiFaculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran.Journal Article20150611In this paper, we formulate the sixth-order boundary value problem as Fredholm integral equation by finding Green's function and obtain the sufficient conditions for existence and multiplicity of positive solution for this problem. Also nonexistence results are obtained. An example is given to illustrate the results of paper.http://bims.iranjournals.ir/article_902_2e9751112c0f6a8a0ad4c17431e11af8.pdf