科研之友
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摘要
We discuss the solvability of the fourth-order boundary value problem u(4) = f(t, u, u ''), 0 <= t <= 1, u(0) = u(1) = u ''(0) = u ''(1) = 0, which models a statically bending elastic beam whose two ends are simply supported, where f : [0, 1] x R(2) -> R is continuous. Under a condition allowing that f(t, u, v) is superlinear in u and v, we obtain an existence and uniqueness result. Our discussion is based on the Leray-Schauder fixed point theorem.
- 出版日期2010
- 单位西北师范大学
