Existence and Multiplicity of Positive Solutions of a Boundary-Value Problem for Sixth-Order ODE with Three Parameters
نویسندگان
چکیده
منابع مشابه
Existence and Multiplicity of Positive Solutions of a Boundary-Value Problem for Sixth-Order ODE with Three Parameters
We study the existence and multiplicity of positive solutions of the following boundary-value problem: −u 6 − γu 4 βu − αu ft, u, 0 < t < 1, u0 u1 u 0 u 1 u 4 0 u 4 1 0, where f : 0, 1× R → R is continuous, α, β, and γ ∈ R satisfy some suitable assumptions.
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 pri...
متن کاملThe existence and multiplicity of positive solutions of nonlinear sixth-order boundary value problem with three variable coefficients
where A(t), B(t), C(t) Î C[0,1], f(t, u) : [0,1] × [0, ∞) ® [0. ∞) is continuous. In recent years, BVPs for sixth-order ordinary differential equations have been studied extensively, see [1-7] and the references therein. For example, Tersian and Chaparova [1] have studied the existence of positive solutions for the following systems (1.2): { u(6) + Au(4) + Bu′′ + Cu − f (t, u) = 0. 0 < x < L, u...
متن کاملExistence and nonexistence of positive solution for sixth-order boundary value problems
In this paper, we formulate the sixth-order boundary value problem as Fredholm integral equation by finding Green's function and obtain the sufficient conditions for existence and multiplicity of positive solution for this problem. Also nonexistence results are obtained. An example is given to illustrate the results of paper.
متن کاملExistence of positive solutions for a boundary value problem of a nonlinear fractional differential equation
This paper presents conditions for the existence and multiplicity of positive solutions for a boundary value problem of a nonlinear fractional differential equation. We show that it has at least one or two positive solutions. The main tool is Krasnosel'skii fixed point theorem on cone and fixed point index theory.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Boundary Value Problems
سال: 2010
ISSN: 1687-2770
DOI: 10.1155/2010/878131