Volume 35, Issue 4
Multiple Positive Solutions for a Class of Integral Boundary Value Problem

Yang Yang, Yunrui Yang & Kepan Liu

Ann. Appl. Math., 35 (2019), pp. 364-373.

Published online: 2020-08

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  • Abstract

In this paper, the existence and multiplicity of positive solutions for a class of non-resonant fourth-order integral boundary value problem

image.png

with two parameters are established by using the Guo-Krasnoselskii's fixed-point theorem, where $f∈C$([0,1]×[0,+)×(−,0], [0,+)), $q(t)∈L$1[0,1] is nonnegative, $α, β ∈ R$ and satisfy $β<2π$2, $α$>0, $α/π$4+$β/π$2<1, $λ$1,2=(−$β$∓$\sqrt{β^2+4α}$)/2. The corresponding examples are raised to demonstrate the results we obtained.

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@Article{AAM-35-364, author = {Yang , YangYang , Yunrui and Liu , Kepan}, title = {Multiple Positive Solutions for a Class of Integral Boundary Value Problem}, journal = {Annals of Applied Mathematics}, year = {2020}, volume = {35}, number = {4}, pages = {364--373}, abstract = {

In this paper, the existence and multiplicity of positive solutions for a class of non-resonant fourth-order integral boundary value problem

image.png

with two parameters are established by using the Guo-Krasnoselskii's fixed-point theorem, where $f∈C$([0,1]×[0,+)×(−,0], [0,+)), $q(t)∈L$1[0,1] is nonnegative, $α, β ∈ R$ and satisfy $β<2π$2, $α$>0, $α/π$4+$β/π$2<1, $λ$1,2=(−$β$∓$\sqrt{β^2+4α}$)/2. The corresponding examples are raised to demonstrate the results we obtained.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18087.html} }
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 -

In this paper, the existence and multiplicity of positive solutions for a class of non-resonant fourth-order integral boundary value problem

image.png

with two parameters are established by using the Guo-Krasnoselskii's fixed-point theorem, where $f∈C$([0,1]×[0,+)×(−,0], [0,+)), $q(t)∈L$1[0,1] is nonnegative, $α, β ∈ R$ and satisfy $β<2π$2, $α$>0, $α/π$4+$β/π$2<1, $λ$1,2=(−$β$∓$\sqrt{β^2+4α}$)/2. The corresponding examples are raised to demonstrate the results we obtained.

YangYang, YunruiYang & KepanLiu. (2020). Multiple Positive Solutions for a Class of Integral Boundary Value Problem. Annals of Applied Mathematics. 35 (4). 364-373. doi:
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