Positive solutions of an $n$th order three-point boundary value problem
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...
متن کاملPositive Solutions for Systems of nth Order Three-point Nonlocal Boundary Value Problems
Intervals of the parameter λ are determined for which there exist positive solutions for the system of nonlinear differential equations, u(n) + λa(t)f(v) = 0, v(n)+λb(t)g(u) = 0, for 0 < t < 1, and satisfying three-point nonlocal boundary conditions, u(0) = 0, u(0) = 0, . . . , u(n−2)(0) = 0, u(1) = αu(η), v(0) = 0, v(0) = 0, . . . , v(n−2)(0) = 0, v(1) = αv(η). A Guo-Krasnosel’skii fixed point...
متن کاملThe Existence of Countably Many Positive Solutions for Nonlinear nth-Order Three-Point Boundary Value Problems
We consider the existence of countably many positive solutions for nonlinear nth-order three-point boundary value problem u n t a t f u t 0, t ∈ 0, 1 , u 0 αu η , u′ 0 · · · u n−2 0 0, u 1 βu η , where n ≥ 2, α ≥ 0, β ≥ 0, 0 < η < 1, α β − α ηn−1 < 1, a t ∈ L 0, 1 for some p ≥ 1 and has countably many singularities in 0, 1/2 . The associated Green’s function for the nth-order three-point bounda...
متن کاملGreen’s function and positive solutions of a singular nth-order three-point boundary value problem on time scales
In this paper, we investigate the existence of positive solutions for a class of singular nth-order three-point boundary value problem. The associated Green’s function for the boundary value problem is given at first, and some useful properties of the Green’s function are obtained. The main tool is fixed-point index theory. The results obtained in this paper essentially improve and generalize s...
متن کاملPositive solutions of a nonlinear three-point boundary value problem
We study the existence of positive solutions to the boundary-value problem u + a(t)f(u) = 0, t ∈ (0, 1) u(0) = 0, αu(η) = u(1) , where 0 < η < 1 and 0 < α < 1/η. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.
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: Rocky Mountain Journal of Mathematics
سال: 2013
ISSN: 0035-7596
DOI: 10.1216/rmj-2013-43-1-205