Nontrivial solutions of singular superlinear m-point boundary value problems

作者：Cui Yujun^*; Zou Yumei

来源：Applied Mathematics and Computation, 2007, 187(2): 1256-1264.

DOI：10.1016/j.amc.2006.09.036

• singular
• nontrivial solutions
• m-Point boundary value problems
• topology degree

The singular superlinear m-point boundary value problems:
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are considered under some conditions concerning the first eigenvalues corresponding to the relevant linear operators, where (L phi)(x) = (p(x)(phi'(x))' + q(x)phi(x) and 0 <xi(1) <xi(2) <... <xi(m-2) < 1, a(i) is an element of[0, infinity), h(x) is allowed to be singular at x = 0 and x = 1, and f is not necessary to be nonnegative. The existence results of nontrivial solutions and positive solutions are given by using the method of topological degree.

• 出版日期2007-4-15
• 单位山东科技大学