Existence of a positive solution to systems of differential equations of fractional order
Existence of a positive solution to systems of differential equations of fractional order
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DOI：
10.1016/j.camwa.2011.02.039
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发表时间：
2011-08-01
影响因子：
2.9
通讯作者：
Goodrich, Christopher S.
中科院分区：
文献类型：
--
作者：
Goodrich, Christopher S.
本文考虑如下(连续)分数次边值问题：{-D(0+)(V1)y(1)(T)=lambda(1)a(1)(T)f(y(1)(T)，y(2)(T))，-D(0+)(V2)y(2)(T)=lambda(2)a(2)(T)g(y(1)(T))，其中v(1)，v(2)是n&gT的(n-1，n)元；3和n是N的元素，对于0，满足边界条件y(T)((I))(0)=0=y(2)((I))(0
In this paper, we consider a system of (continuous) fractional boundary value problems given by{-D(0+)(v1)y(1)(t) = lambda(1)a(1)(t)f(y(1)(t), y(2)(t)),-D(0+)(v2)y(2)(t) = lambda(2)a(2)(t)g(y(1)(t)),where v(1), v(2) is an element of (n - 1, n] for n > 3 and n is an element of N, subject either to the boundary conditions y(t)((i))(0) = 0 = y(2)((i))(0), for 0