full
search.png

Search

close.png

Cancel

arrow
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

Preview Purchase PDF 2385 30042

Cited by

google scholar semantic scholar
Export citation
  • 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

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CMR-28-209, author = {Yao , Qingliu}, 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.

Yao , Qingliu. (2021). Solvability of Third-Order Three-Point Boundary Value Problems with Carathéodory Nonlinearity. Communications in Mathematical Research . 28 (3). 209-217. doi:
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard