Existence of solutions for fourth order differential equation with four-point boundary conditions
نویسندگان
چکیده
منابع مشابه
Existence of solutions for fourth order differential equation with four-point boundary conditions
In this paper we investigate the existence of solutions of a class of four-point boundary value problems for a fourth order ordinary differential equation. Our analysis relies on a nonlinear alternative of Leray–Schauder type. c © 2007 Elsevier Ltd. All rights reserved.
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متن کاملexistence 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...
متن کاملexistence 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 prim...
متن کاملPositive solution of fourth order ordinary differential equation with four-point boundary conditions
In this work, the authors consider the fourth order nonlinear ordinary differential equation u(4)(t) = f (t, u(t)), 0 < t < 1, with the four-point boundary conditions u(0) = u(1) = 0, au′′(ξ1)− bu′′′(ξ1) = 0, cu′′(ξ2)+ du′′′(ξ2) = 0, where 0 ≤ ξ1 < ξ2 ≤ 1. By means of the upper and lower solution method and fixed point theorems, some results on the existence of positive solutions to the above f...
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2007
ISSN: 0893-9659
DOI: 10.1016/j.aml.2006.11.013