Abstract
We study the existence of periodic solutions of the nonlinear neutral system of differential equations of the form d d t x ( t ) = A ( t ) x ( t ) + d d t Q ( t , x ( t − g ( t ) ) ) + G ( t , x ( t ) , x ( t − g ( t ) ) ) . In the process we use the fundamental matrix solution of y ′ = A ( t ) y and convert the given neutral differential equation into an equivalent integral equation. Then we construct appropriate mappings and employ Krasnoselskii's fixed point theorem to show the existence of a periodic solution of this neutral differential equation. We also use the contraction mapping principle to show the existence of a unique periodic solution of the equation.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
