Existence and nonexistence of positive solution for sixth-order boundary value problems

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‎In this paper‎, ‎we formulate the sixth-order boundary value problem as Fredholm integral equation by finding Greenʹs 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.