Positive Solutions for Integral Boundary Value Problem with ϕ-Laplacian Operator
نویسندگان
چکیده
منابع مشابه
Positive Solutions for Integral Boundary Value Problem with -Laplacian Operator
We consider the existence, multiplicity of positive solutions for the integral boundary value problem with φ-Laplacian φ u′ t ′ f t, u t , u′ t 0, t ∈ 0, 1 , u 0 ∫1 0 u r g r dr, u 1 ∫1 0 u r h r dr, where φ is an odd, increasing homeomorphism from R onto R. We show that it has at least one, two, or three positive solutions under some assumptions by applying fixed point theorems. The interestin...
متن کاملMonotone Iterative Method for Obtaining Positive Solutions of Integral Boundary-value Problems with Φ-laplacian Operator
This article concerns the existence, multiplicity of positive solutions for the integral boundary-value problem with φ-Laplacian, ` φ(u′(t)) ́′ + f(t, u(t), u′(t)) = 0, t ∈ [0, 1],
متن کاملPositive solutions to a class of q-fractional difference boundary value problems with φ-Laplacian operator
By virtue of the upper and lower solutions method, as well as the Schauder fixed point theorem, the existence of positive solutions to a class of q-fractional difference boundary value problems with φ-Laplacian operator is investigated. The conclusions here extend existing results. c ©2016 All rights reserved.
متن کاملTriple positive solutions of $m$-point boundary value problem on time scales with $p$-Laplacian
In this paper, we consider the multipoint boundary value problem for one-dimensional $p$-Laplacian dynamic equation on time scales. We prove the existence at least three positive solutions of the boundary value problem by using the Avery and Peterson fixed point theorem. The interesting point is that the non-linear term $f$ involves a first-order derivative explicitly. Our results ...
متن کاملPositive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator
We consider the existence and multiplicity of concave positive solutions for boundary value problem of nonlinear fractional differential equation with p-Laplacian operatorD 0 φp D α 0 u t f t, u t , D 0 u t 0, 0 < t < 1, u 0 u ′ 1 0, u′′ 0 0, D 0 u t |t 0 0, where 0 < γ < 1, 2 < α < 3, 0 < ρ 1, D 0 denotes the Caputo derivative, and f : 0, 1 × 0, ∞ × R → 0, ∞ is continuous function, φp s |s|p−2...
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: 2011
ISSN: 1687-2762,1687-2770
DOI: 10.1155/2011/827510