Positive solutions of a fourth-order boundary value problem involving derivatives of all orders
نویسندگان
چکیده
منابع مشابه
Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions
In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...
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* Correspondence: lycocean@163. com College of Electrical Engineering and Information, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, P. R. China Full list of author information is available at the end of the article Abstract In this article, by the fixed point theorem in a cone and the nonlocal fourth-order BVP’s Green function, the existence of at least one positive s...
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ژورنال
عنوان ژورنال: Communications on Pure and Applied Analysis
سال: 2012
ISSN: 1534-0392
DOI: 10.3934/cpaa.2012.11.1615