Existence of solution for first-order coupled system with nonlinear coupled boundary conditions

Asif N. A., Talib I., TUNÇ C.

BOUNDARY VALUE PROBLEMS, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume:
  • Publication Date: 2015
  • Doi Number: 10.1186/s13661-015-0397-2
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Van Yüzüncü Yıl University Affiliated: Yes


In this article, the existence of solution for the first-order nonlinear coupled system of ordinary differential equations with nonlinear coupled boundary condition (CBC for short) is studied using a coupled lower and upper solution approach. Our method for a nonlinear coupled system with nonlinear CBC is new and it unifies the treatment of many different first-order problems. Examples are included to ensure the validity of the results.