TY - JOUR
AU - Mardanov, Misir
AU - Sharifov, Yagub
AU - Ismayilova, Kamala
AU - Zamanova, Sevinc
PY - 2019/07/25
Y2 - 2023/09/27
TI - Existence and Uniqueness of Solutions for the System of First-order Nonlinear Differential Equations with Three-point and Integral Boundary Conditions
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 12
IS - 3
SE -
DO - 10.29020/nybg.ejpam.v12i3.3433
UR - https://www.ejpam.com/index.php/ejpam/article/view/3433
SP - 756-770
AB - <p>In the paper, the existence and uniqueness of the solutions for the system of the nonlinear first-order ordinary differential equations with three-point and integral boundary conditions are studied. The Green function is constructed and the considered problem is reduced to the equivalent integral equation. The existence and uniqueness of the solutions for the given problem are analyzed by using the Banach contraction principle. The Schaeferâ€™s fixed point theorem is then<br />used to prove the existence of the solutions. Finally, the examples are given to verify the given theorems.</p>
ER -