Existence and uniqueness criterion of a periodic solution for a third-order neutral differential equation with multiple delay

نویسندگان

چکیده

Abstract In this paper, we study the existence and uniqueness of a periodic solution for third-order neutral delay differential equation (NDDE) by applying Mawhin’s continuation theorem coincidence degree analysis techniques. An illustrative example is given as an application to support our results. To confirm accuracy results, also present plot behavior solution.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Existence and Uniqueness of a Periodic Solution for Third-order Delay Differential Equation with Two Deviating Arguments

In this paper we use the continuation theorem of coincidence degree theory and analysis techniques. We establish the existence and uniqueness of a T-periodic solution for the third-order delay differential equation with two deviating arguments. A new result on the existence and uniqueness of a periodic solution of this equation is obtained. In addition an example is given to illustrate the main...

متن کامل

Nonlinear oscillation of certain third-order neutral differential equation with distributed delay

The authors obtain necessary and sufficient conditions for the existence of oscillatory solutions with a specified asymptotic behavior of solutions to a nonlinear neutral differential equation with distributed delay of third order. We give new theorems which ensure that every solution to be either oscillatory or converges to zero asymptotically. Examples dwelling upon the importance of applicab...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Boundary Value Problems

سال: 2023

ISSN: ['1687-2770', '1687-2762']

DOI: https://doi.org/10.1186/s13661-023-01711-8