Electron. J. Diff. Equ., Vol. 2014 (2014), No. 259, pp. 1-8.

Existence and uniqueness of solutions for first-order nonlinear differential equations with two-point and integral boundary conditions

Misir J. Mardanov, Yagub A. Sharifov, Habib H. Molaei

Abstract:
In this article, we study the existence of solutions to boundary-value problems for ordinary differential equations with two-point and integral boundary conditions. Existence and uniqueness results are obtained by using well known fixed point theorems. Some illustrative examples are also discussed.

Submitted November 1, 2014. Published December 11, 2014.
Math Subject Classifications: 34A37, 34G60, 34G20.
Key Words: Nonlocal boundary conditions; contraction principle; existence and uniqueness; fixed point theorem.

Show me the PDF file (182 KB), TEX file, and other files for this article.

Misir J. Mardanov
Institute of Mathematics and Mechanics
National Academy of Sciences of Azerbaijan
Baku, Azerbaijan
email: misirmardanov@yahoo.com
Yagub A. Sharifov
Baku State University, Institute of Control Systems
National Academy of Sciences of Azerbaijan
Baku, Azerbaijan
email: sharifov22@rambler.ru
Habib H. Molaei
Department of Mathematics
Technical and Vocational University
Urmia, Iran
email: habibmolaei@gmail.com

Return to the EJDE web page