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摘要
This article deals with the following second-order multi-point boundary value problem
x ''(t) = f(t, x(t), x'(t)) + e(t), t is an element of (0, 1),
x'(0) = Sigma(m)(i=1)alpha(i)x'(xi i), x(1) = Sigma(n)(j=1)beta(j)x(eta(j))
Under the resonance conditions Sigma(m)(i=1)alpha(i) = 1, Sigma(n)(j=1)beta(j) = 1, Sigma j(=1)(n)beta(j)eta(j) = 1, by applying the coincidence degree theory, some existence results of the problem are established. The emphasis here is that the dimension of the linear operator is two. In this paper, we extend and improve some previously known results like the ones in the references.
- 出版日期2010-9
- 单位江苏师范大学
