Existence of nodal solutions of a nonlinear fourth-order two-point boundary value problem
نویسندگان
چکیده
منابع مشابه
Existence of nodal solutions of a nonlinear fourth-order two-point boundary value problem
Correspondence: [email protected] School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People’s Republic of China Full list of author information is available at the end of the article Abstract In this article, we give conditions on parameters k, l that the generalized eigenvalue problem x′′′′ + kx′′ + lx = lh(t)x, 0 < t <1, x(0) = x(1) = x′(0) = x′(1) = 0 possesses an inf...
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 کاملExistence and Uniqueness of Positive Solutions to a Fourth-order Two-point Boundary-value Problem
In this article, we study the existence and uniqueness of positive solutions for a class of semi-linear, fourth order two point boundary value problems. Some examples are presented to illustrate our main results.
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 کاملExistence of positive solutions of a nonlinear fourth-order boundary value problem
We study the existence of positive solutions of the nonlinear fourth order problem u(x) = λa(x)f(u(x)), u(0) = u′(0) = u′′(1) = u′′′(1) = 0, where a : [0, 1] → R may change sign, f(0) > 0, and λ > 0 is sufficiently small. Our approach is based on the Leray–Schauder fixed point theorem.
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: 2012
ISSN: 1687-2770
DOI: 10.1186/1687-2770-2012-31