Abstract
By using variational methods directly, we establish the existence of periodic solutions for a class of nonautonomous differential delay equations which are superlinear both at zero and at infinity.
Highlights
Introduction and Main ResultMany equations arising in nonlinear population growth models 1, communication systems 2, and even in ecology 3 can be written as the following differential delay equation:x t −αf x t − 1, 1.1 where f ∈ C R, R is odd and α is parameter
By using variational methods directly, we establish the existence of periodic solutions for a class of nonautonomous differential delay equations which are superlinear both at zero and at infinity
Many equations arising in nonlinear population growth models 1, communication systems 2, and even in ecology 3 can be written as the following differential delay equation: x t −αf x t − 1, 1.1 where f ∈ C R, R is odd and α is parameter
Summary
Introduction and Main ResultMany equations arising in nonlinear population growth models 1 , communication systems 2 , and even in ecology 3 can be written as the following differential delay equation:x t −αf x t − 1 , 1.1 where f ∈ C R, R is odd and α is parameter. By using variational methods directly, we establish the existence of periodic solutions for a class of nonautonomous differential delay equations which are superlinear both at zero and at infinity. By using the pseudo index theory in 24 , they established the existence and multiplicity of periodic solutions of 1.2 with f satisfying the following asymptotically linear conditions both at zero and at infinity: f x B0x o |x| , as |x| −→ 0, 1.3 f x B∞x o |x| , as |x| −→ ∞, where B0 and B∞ are symmetric n × n constant matrices.
Sign-in/Register to view highlights & summary 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.
