Volume 33, Issue 2
Existence of Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem

Hongping Wu & Shaolin Zhou

Ann. Appl. Math., 33 (2017), pp. 186-193.

Published online: 2022-06

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  • Abstract

In this paper, we study a singular third-order three-point boundary value problem. By using a fixed-point theorem of cone expansion-compression type, we establish results on the existence of at least one, at least two, and $n$ positive solutions to the boundary value problem. Finally we give an example.

  • AMS Subject Headings

34B15

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COPYRIGHT: © Global Science Press

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@Article{AAM-33-186, author = {Wu , Hongping and Zhou , Shaolin}, title = {Existence of Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {33}, number = {2}, pages = {186--193}, abstract = {

In this paper, we study a singular third-order three-point boundary value problem. By using a fixed-point theorem of cone expansion-compression type, we establish results on the existence of at least one, at least two, and $n$ positive solutions to the boundary value problem. Finally we give an example.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20604.html} }
TY - JOUR T1 - Existence of Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem AU - Wu , Hongping AU - Zhou , Shaolin JO - Annals of Applied Mathematics VL - 2 SP - 186 EP - 193 PY - 2022 DA - 2022/06 SN - 33 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20604.html KW - third-order three-point boundary value problem, positive solutions, singular nonlinearity, fixed-point theorem. AB -

In this paper, we study a singular third-order three-point boundary value problem. By using a fixed-point theorem of cone expansion-compression type, we establish results on the existence of at least one, at least two, and $n$ positive solutions to the boundary value problem. Finally we give an example.

Wu , Hongping and Zhou , Shaolin. (2022). Existence of Positive Solutions to a Singular Third-Order Three-Point Boundary Value Problem. Annals of Applied Mathematics. 33 (2). 186-193. doi:
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