Ngày tải lên :
21/06/2014, 20:20
... As the function ϕ x t∈ 0,1 G t, s f s, u s − f s, v s ds 3.6 G t, s s s f s, u s max t∈ 0,1 −σ σ max − f s, v s ds G t, s s−σ λ · ln u s − v s ds ln x is nondecreasing then, for u ≥ v, ln u s ... operator T is nondecreasing since, by hypothesis, for u ≥ v G t, s f s, u s ds Tu t G t, s s−σ s f s, u s ds 3.5 ≥ G t, s s−σ s f s, v s ds Tv t Besides, for u ≥ v d T u, T v max | T u t − T v t ... if we suppose that u t2 − u t1 then G t2 , s − G t1 , s f s, u s ds a.e as, G t2 , s − G t1 , s > we deduce that f s, u s On the other hand, if f s, u s a.e then G t, s f s, u s ds u t for t...