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Volume 28, Issue 3
Solvability of Third-Order Three-Point Boundary Value Problems with Carathéodory Nonlinearity

Qingliu Yao

Commun. Math. Res., 28 (2012), pp. 209-217.

Published online: 2021-05

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  • Abstract

A class of third-order three-point boundary value problems is considered, where the nonlinear term is a Carathéodory function. By introducing a height function and considering the integration of this height function, an existence theorem of solution is proved when the limit growth function exists. The main tools are the Lebesgue dominated convergence theorem and the Schauder fixed point theorem.

  • Keywords

nonlinear ordinary differential equation, multi-point boundary value problem, existence.

  • AMS Subject Headings

34B10, 34B16, 34B15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-28-209, author = {Qingliu and Yao and and 18503 and and Qingliu Yao}, title = {Solvability of Third-Order Three-Point Boundary Value Problems with Carathéodory Nonlinearity}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {28}, number = {3}, pages = {209--217}, abstract = {

A class of third-order three-point boundary value problems is considered, where the nonlinear term is a Carathéodory function. By introducing a height function and considering the integration of this height function, an existence theorem of solution is proved when the limit growth function exists. The main tools are the Lebesgue dominated convergence theorem and the Schauder fixed point theorem.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19042.html} }
TY - JOUR T1 - Solvability of Third-Order Three-Point Boundary Value Problems with Carathéodory Nonlinearity AU - Yao , Qingliu JO - Communications in Mathematical Research VL - 3 SP - 209 EP - 217 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19042.html KW - nonlinear ordinary differential equation, multi-point boundary value problem, existence. AB -

A class of third-order three-point boundary value problems is considered, where the nonlinear term is a Carathéodory function. By introducing a height function and considering the integration of this height function, an existence theorem of solution is proved when the limit growth function exists. The main tools are the Lebesgue dominated convergence theorem and the Schauder fixed point theorem.

Qingliu Yao. (2021). Solvability of Third-Order Three-Point Boundary Value Problems with Carathéodory Nonlinearity. Communications in Mathematical Research . 28 (3). 209-217. doi:
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