Positive solutions for a discrete two point nonlinear boundary value problem with p-Laplacian
نویسندگان
چکیده
منابع مشابه
Two positive solutions for a nonlinear four - point boundary value problem with a p - Laplacian operator ∗
In this paper, we study the existence of positive solutions for a nonlinear fourpoint boundary value problem with a p-Laplacian operator. By using a three functionals fixed point theorem in a cone, the existence of double positive solutions for the nonlinear four-point boundary value problem with a p-Laplacian operator is obtained. This is different than previous results.
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 کاملThe Existence of Triple Positive Solutions of Nonlinear Four-point Boundary Value Problem with p-Laplacian∗
This paper deals with the multiplicity results of positive solutions of one-dimensional singular p-Laplace equation (φp(u ′(t)))′ + a(t)f(t, u(t), u′(t)) = 0, 0 < t < 1 subject to the nonlinear boundary conditions αφp(u(0)) − βφp(u(ξ)) = 0, γφp(u(1)) + δφp(u(η)) = 0, where φp(x) = |x|p−2x, p > 1. By using the Avery-Peterson fixed point theorem, sufficient conditions for the existence of at leas...
متن کاملExistence of Three Positive Solutions for m-Point Discrete Boundary Value Problems with p-Laplacian
We consider the multi-point discrete boundary value problem with one-dimensional p-Laplacian operator Δ φp Δu t − 1 q t f t, u t ,Δu t 0, t ∈ {1, . . . , n − 1} subject to the boundary conditions: u 0 0, u n ∑m−2 i 1 aiu ξi , where φp s |s|p−2s, p > 1, ξi ∈ {2, . . . , n − 2} with 1 < ξ1 < · · · < ξm−2 < n − 1 and ai ∈ 0, 1 , 0 < ∑m−2 i 1 ai < 1. Using a new fixed point theorem due to Avery and...
متن کاملExistence solutions for new p-Laplacian fractional boundary value problem with impulsive effects
Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...
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 Mathematical Analysis and Applications
سال: 2017
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2016.10.023