‎in 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.

in this paper we consider a petrovsky viscoelastic inverse source problem with memory term in the boundary condition. we obtain sufficient conditions on relaxation function and initial data for which the solutions of problem are asymptotically stable when the integral overdetermination tends to zero as time goes to infinity.

In this article, we apply this new method for solving an engineering systemwith initial and boundary conditions and integral criterion ,and we will usingdynamic programming as iteration for solving model.

The Banach fixed point theorem is used to investigate the existence and uniquenness of fuzzy solutions for a class of second order nonlinear boundary value problems with integral boundary conditions.