The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces
نویسندگان
چکیده
By introducing new definitions of φ convex and −φ concave quasioperator and V 0 quasilower and u 0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed monotone Fredholm-type integral equations in Banach spaces. Our results are even new to φ convex and−φ concave quasi operator, and then we apply these results to the two-point boundary value problem of second-order nonlinear ordinary differential equations in the ordered Banach spaces.
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تاریخ انتشار 2014