POSITIVE SOLUTIONS OF FOURTH-ORDER BOUNDARY VALUE PROBLEM WITH VARIABLE PARAMETERS
نویسندگان
چکیده
منابع مشابه
Positive Solutions of Fourth-order Boundary Value Problem with Variable Parameters
By means of calculation of the fixed point index in cone we consider the existence of one or two positive solutions for the fourth-order boundary value problem with variable parameters { u(t) + B(t)u′′(t)−A(t)u(t) = f(t, u(t), u′′(t)), 0 < t < 1, u(0) = u(1) = u′′(0) = u′′(1) = 0, where A(t), B(t) ∈ C[0, 1] and f(t, u, v) : [0, 1]× [0,∞)×R → [0,∞) is continuous.
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 of Positive Solutions for Nonlocal Fourth-Order Boundary Value Problem with Variable Parameter
By using the Krasnoselskii’s fixed point theorem and operator spectral theorem, the existence of positive solutions for the nonlocal fourth-order boundary value problem with variable parameter u 4 t B t u′′ t λf t, u t , u′′ t , 0 < t < 1, u 0 u 1 ∫1 0 p s u s ds, u ′′ 0 u′′ 1 ∫1 0 q s u ′′ s ds is considered, where p, q ∈ L1 0, 1 , λ > 0 is a parameter, and B ∈ C 0, 1 , f ∈ C 0, 1 × 0,∞ × −∞, ...
متن کاملMultiple Positive Solutions to a Fourth-order Boundary-value Problem
We study the existence, localization and multiplicity of positive solutions for a nonlinear fourth-order two-point boundary value problem. The approach is based on critical point theorems in conical shells, Krasnosel’skĭı’s compression-expansion theorem, and unilateral Harnack type inequalities.
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 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: Journal of Nonlinear Sciences and Applications
سال: 2008
ISSN: 2008-1901
DOI: 10.22436/jnsa.001.01.04