TY - JOUR
T1 - Multiple Positive Solutions for a Class of Integral Boundary Value Problem
AU - Yang , Yang
AU - Yang , Yunrui
AU - Liu , Kepan
JO - Annals of Applied Mathematics
VL - 4
SP - 364
EP - 373
PY - 2020
DA - 2020/08
SN - 35
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/aam/18087.html
KW - positive solutions, fixed point, integral boundary conditions.
AB - <p style="text-align: justify; margin-bottom: 5px; line-height: normal;">In this paper, the existence and multiplicity of positive solutions for a class
of non-resonant fourth-order integral boundary value problem<br/></p><p style="text-align:center"><img src="http://admin.global-sci.org/uploads/ueditor/image/20200824/1598262698121617.png" title="1598262698121617.png" alt="image.png" width="579" height="110"/></p><p style="text-align: justify; line-height: normal;">with two parameters are established by using the Guo-Krasnoselskii&#39;s fixed-point theorem, where $f∈C$([0,1]×[0,+<span style="font-size: 12pt; font-family: 宋体;">∞</span>)×(−<span style="font-size: 12pt; font-family: 宋体;">∞</span>,0], [0,+<span style="font-size: 12pt; font-family: 宋体;">∞</span>)), $q(t)∈L$<sup>1</sup>[0,1]
is nonnegative, $α, β ∈ R$ and satisfy $β&lt;2π$<sup>2</sup>, $α$&gt;0, $α/π$<sup>4</sup>+$β/π$<sup>2</sup>&lt;1, $λ$<sub>1,2</sub>=(−$β$∓$\sqrt{β^2+4α}$)/2. The corresponding examples are raised to demonstrate
the results we obtained.</p>