On the symmetric positive solutions of nonlinear fourth order ordinary differential equations with four-point boundary value conditions: a fixed point theory approach
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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Recently, there are many results about the existence and multiplicity of positive solutions for nonlinear second-order differential equations(see[7],[5],[3]). Henderson and Thompson(see[4]), Li and Zhang (see[2]) studied the multiple symmetric positive and nonnegative solutions of second-order ordinary differential equations. Yao (see[6]) considered the existence and iteration of n symmetric po...
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In this paper, we are concerned with the existence of symmetric positive solutions for second-order differential equations. Under suitable conditions, the existence of symmetric positive solutions are established by using Krasnoselskii’s fixed-point theorems.
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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: Journal of Nonlinear Sciences and Applications
سال: 2020
ISSN: 2008-1898,2008-1901
DOI: 10.22436/jnsa.013.06.06