Existence and Uniqueness of Periodic Solutions for a Kind of Third-order Functional Differential Equation with a Time-delay
Автор(ы):
A. M. Mahmoud
Department of Mathematics, Faculty of Science,
New Valley Branch,
Assiut University. New Valley,
El-Khargah 72111, Egypt
math_ayman27@yahoo.com
Аннотация:
In this paper, by using the Mawhin coincidence degree
theory and analysis techniques, we establish new results on the
existence and uniqueness of T-periodic solutions for a kind of
third-order functional differential equation (FDE) with a
time-delay.
The obtained results are new and complement the related results of
third-order (FDE) with a time-delay that have appeared in the
literature. In the last section, we give an example to illustrate
our main results of periodic solutions.
Ключевые слова
- Coincidence degree
- Existence and uniqueness
- Mawhin's continuation theorem
- Periodic solutions
- Third-order (FDE)
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