on solvability theorems of second-order ordinary differential equations with delay

Clicks: 123
ID: 228418
2018
Free PDF
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.
AI Quality Assessment
Not analyzed
Readership in this journal
Emerging

Ranked #153 of 631 articles by views in science and technology of advanced materials

Most read Least read

Bar heights use a square-root scale. Only the 120 most-read articles are drawn; the journal has 631 in total.

Mint this article as an NFT
Not yet minted

Create 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
Sign in to mint
Abstract
For each x0∈[0,2π) and k∈N, we obtain some existence theorems of periodic solutions to the two-point boundary value problem u′′(x)+k2u(x-x0)+g(x,u(x-x0))=h(x) in (0,2π) with u(0)-u(2π)=u′(0)-u′(2π)=0 when g:(0,2π)×R→R is a Caratheodory function which grows linearly in u as u→∞, and h∈L1(0,2π) may satisfy a generalized Landesman-Lazer condition (1+sign(β))∫02πh(x)v(x)dx<∫v(x)>0gβ+(x)vx1-βdx+∫v(x)<0gβ-(x)vx1-βdx for all v∈N(L)\{0}. Here N(L) denotes the subspace of L1(0,2π) spanned by sin⁡kx and cos⁡kx, -1<β≤0, gβ+(x)=lim  infu→∞(gx,uu/u1-β), and gβ-(x)=lim  infu→-∞(gx,uu/u1-β).
Reference Key
yeh2018abstracton Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Nai-Sher Yeh
Journal science and technology of advanced materials
Year 2018
DOI
10.1155/2018/5321314
URL
http://dx.doi.org/10.1155/2018/5321314
Keywords
mathematics

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.