科研之友
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摘要
We study the existence of positive solutions for equations of the form %26lt;br%26gt;u((4))(t) - omega(4)u(t) = f (t, u(t)), a.e. t is an element of (0, 1), %26lt;br%26gt;where 0 %26lt; omega %26lt; pi, subject to various non-local boundary conditions defined in terms of the Riemann-Stieltjes integrals. We prove the existence and multiplicity of positive solutions for these boundary value problems in both resonant and non-resonant cases. We discuss the resonant case by making a shift and considering an equivalent non-resonant problem.
- 出版日期2012-1
