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Volume 29, Issue 2
Existence of Positive Solutions for Singular Fourth Order Coupled System with Sign Changing Nonlinear Terms

Tian Xia, Jinglu Gao & Chunling Cao

Commun. Math. Res., 29 (2013), pp. 167-178.

Published online: 2021-05

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  • Abstract

This paper deals with the existence of positive solutions to a singular fourth order coupled system with integral boundary conditions. Since the nonlinear terms $f$, $g$ may change sign or be singular at $t = 0$ or $t = 1$, the authors make a priori estimates to overcome some difficulties and apply Guo-Krasnoselskii fixed point theorem to prove the existence of solutions of the system under suitable assumptions. Finally, some examples to illustrate the main results are given.

  • Keywords

fixed point theorem, positive solution, integral boundary condition.

  • AMS Subject Headings

47H10, 34B15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-29-167, author = {Xia , TianGao , Jinglu and Cao , Chunling}, title = {Existence of Positive Solutions for Singular Fourth Order Coupled System with Sign Changing Nonlinear Terms}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {29}, number = {2}, pages = {167--178}, abstract = {

This paper deals with the existence of positive solutions to a singular fourth order coupled system with integral boundary conditions. Since the nonlinear terms $f$, $g$ may change sign or be singular at $t = 0$ or $t = 1$, the authors make a priori estimates to overcome some difficulties and apply Guo-Krasnoselskii fixed point theorem to prove the existence of solutions of the system under suitable assumptions. Finally, some examples to illustrate the main results are given.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19021.html} }
TY - JOUR T1 - Existence of Positive Solutions for Singular Fourth Order Coupled System with Sign Changing Nonlinear Terms AU - Xia , Tian AU - Gao , Jinglu AU - Cao , Chunling JO - Communications in Mathematical Research VL - 2 SP - 167 EP - 178 PY - 2021 DA - 2021/05 SN - 29 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19021.html KW - fixed point theorem, positive solution, integral boundary condition. AB -

This paper deals with the existence of positive solutions to a singular fourth order coupled system with integral boundary conditions. Since the nonlinear terms $f$, $g$ may change sign or be singular at $t = 0$ or $t = 1$, the authors make a priori estimates to overcome some difficulties and apply Guo-Krasnoselskii fixed point theorem to prove the existence of solutions of the system under suitable assumptions. Finally, some examples to illustrate the main results are given.

Xia , TianGao , Jinglu and Cao , Chunling. (2021). Existence of Positive Solutions for Singular Fourth Order Coupled System with Sign Changing Nonlinear Terms. Communications in Mathematical Research . 29 (2). 167-178. doi:
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