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Volume 36, Issue 3
Positive Solutions to a BVP with Two Integral Boundary Conditions

Kaikai Liu, Yunrui Yang & Yang Yang

Ann. Appl. Math., 36 (2020), pp. 248-256.

Published online: 2021-01

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  • Abstract

Based on the Guo-Krasnoselskii's fixed-point theorem, the existence and multiplicity of positive solutions to a boundary value problem (BVP) with two integral boundary conditions

image.png

are obtained, where $f$, $g_1$, $g_2$ are all continuous. It generalizes the results of one positive solution to multiplicity and improves some results for integral BVPs. Moreover, some examples are also included to demonstrate our results as applications.

  • Keywords

integral boundary conditions, positive solutions, cone.

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COPYRIGHT: © Global Science Press

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@Article{AAM-36-248, author = {Liu , KaikaiYang , Yunrui and Yang , Yang}, title = {Positive Solutions to a BVP with Two Integral Boundary Conditions}, journal = {Annals of Applied Mathematics}, year = {2021}, volume = {36}, number = {3}, pages = {248--256}, abstract = {

Based on the Guo-Krasnoselskii's fixed-point theorem, the existence and multiplicity of positive solutions to a boundary value problem (BVP) with two integral boundary conditions

image.png

are obtained, where $f$, $g_1$, $g_2$ are all continuous. It generalizes the results of one positive solution to multiplicity and improves some results for integral BVPs. Moreover, some examples are also included to demonstrate our results as applications.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/18585.html} }
TY - JOUR T1 - Positive Solutions to a BVP with Two Integral Boundary Conditions AU - Liu , Kaikai AU - Yang , Yunrui AU - Yang , Yang JO - Annals of Applied Mathematics VL - 3 SP - 248 EP - 256 PY - 2021 DA - 2021/01 SN - 36 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/18585.html KW - integral boundary conditions, positive solutions, cone. AB -

Based on the Guo-Krasnoselskii's fixed-point theorem, the existence and multiplicity of positive solutions to a boundary value problem (BVP) with two integral boundary conditions

image.png

are obtained, where $f$, $g_1$, $g_2$ are all continuous. It generalizes the results of one positive solution to multiplicity and improves some results for integral BVPs. Moreover, some examples are also included to demonstrate our results as applications.

Kaikai Liu, Yunrui Yang & Yang Yang. (2021). Positive Solutions to a BVP with Two Integral Boundary Conditions. Annals of Applied Mathematics. 36 (3). 248-256. doi:
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