Existence of positive solutions of a nonlinear fourth-order boundary value problem
نویسندگان
چکیده
We study the existence of positive solutions of the nonlinear fourth order problem u(x) = λa(x)f(u(x)), u(0) = u′(0) = u′′(1) = u′′′(1) = 0, where a : [0, 1] → R may change sign, f(0) > 0, and λ > 0 is sufficiently small. Our approach is based on the Leray–Schauder fixed point theorem.
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ورودعنوان ژورنال:
- Appl. Math. Lett.
دوره 23 شماره
صفحات -
تاریخ انتشار 2010