positive solutions for a 2nth-order p-laplacian boundary value problem involving all derivatives
Clicks: 288
ID: 230511
2013
Article Quality & Performance Metrics
Overall Quality
Not rated
Combines reader engagement with the AI quality analysis. This
article has not been analysed, so there is no overall score —
reader engagement is measured and shown alongside.
Reader Engagement
Steady Performance
30.3
/100
288 views
36 readers
AI Quality Assessment
Not analyzed
Readership in this journal
SteadyRanked #3 of 219 articles by views in icsoft 2006 - 1st international conference on software and data technologies, proceedings
Most read
Least read
Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 219 in total.
Mint this article as an NFT
Not yet mintedCreate a permanent, verifiable on-chain record of this article on the Scimatic Network. The NFT is held in your Journament account, and you can withdraw it to your own wallet at any time.
5
SUSD
one-off · no wallet required
Abstract
In this work, we are mainly concerned with the positive solutions for the 2nth-order p-Laplacian boundary-value problem $$displaylines{ -(((-1)^{n-1}x^{(2n-1)})^{p-1})' =f(t,x,x',ldots,(-1)^{n-1}x^{(2n-2)},(-1)^{n-1}x^{(2n-1)}),cr x^{(2i)}(0)=x^{(2i+1)}(1)=0,quad (i=0,1,ldots,n-1), }$$ where $nge 1$ and $fin C([0,1]imes mathbb{R}_+^{2n}, mathbb{R}_+)(mathbb{R}_+:=[0,infty))$. To overcome the difficulty resulting from all derivatives, we first convert the above problem into a boundary value problem for an associated second order integro-ordinary differential equation with p-Laplacian operator. Then, by virtue of the classic fixed point index theory, combined with a priori estimates of positive solutions, we establish some results on the existence and multiplicity of positive solutions for the above problem. Furthermore, our nonlinear term f is allowed to grow superlinearly and sublinearly.
| Reference Key |
ding2013electronicpositive
Use this key to autocite in the manuscript while using
SciMatic Manuscript Manager or Thesis Manager
|
|---|---|
| Authors | ;Youzheng Ding;Jiafa Xu;Xiaoyan Zhang |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2013 |
| DOI |
DOI not found
|
| URL | |
| Keywords |
Citations
No citations found. To add a citation, contact the admin at info@scimatic.org
Comments
No comments yet. Be the first to comment on this article.