2010 · 35 citations · 0 references
Natural SciencesMathematicsAlgebraDifferential EquationsDifference EquationsInitial Value ProblemsRational NumbersRecursion TheoryFirst-order Difference EquationsLinear Difference EquationsPositive Real FunctionsReal Numbers
In this paper we study the behavior of the solutions of the difference equation xn+1=axn+bxnxn-3/c n-2+dxn-3,=0,1....... where the initial conditions cx -2+dx-3 x-1, Xo are arbitrary positive real numbers and a, b, c, d are positive constants. Also, we give the solution of some special cases of this equation.