WebMay 31, 2024 · In this paper, we study the existence of periodic solutions of the following differential delay equations z ′ ′ ( t) = ∑ k = 1 M − 1 ( − 1) k f ( z ( t − k)), where f ∈ C ( R N, R N), M, N ∈ N and M is odd. WebMay 31, 2024 · In this paper, we study the existence of periodic solutions of the following differential delay equations. z ′ ′ ( t) = ∑ k = 1 M − 1 ( − 1) k f ( z ( t − k)), where f ∈ C ( R N, …
Periodic Solutions of ODEs - University of Pennsylvania
Web1. In this note we consider a class of second order scalar differential equations with periodic forcing, zero damping, and a restoring force which becomes infinite at a finite displacement, which we take to be zero. We give a necessary and sufficient condition for the existence of a periodic solution for equations in this class. Our WebThis paper discusses a result of Li and Shen which proves the existence of a unique periodic solution for the differential equation x[dots above] + kx[dot above] + g(x,t) = [epsilon](t) where k is a constant; g is continuous, continuously differentiable with respect to x , and is periodic of period P in the variable t; [epsilon](t) is continuous and periodic of period P, … high density dvd storage
EXISTENCE OF PERIODIC SOLUTIONS OF SECOND ORDER …
WebTo find the wave solutions of nonlinear fractional partial differential equations in the literature, the G ′ G-expansion method, which is a reliable and effective method that greatly reduces the size of the transaction volume compared to existing techniques, has been applied to different versions of (n + 1)-dimensional KP equations. WebAug 13, 2024 · In section 3, using the existence theorem of mild periodic solutions presented in section 2, we show the existence of periodic mild solutions of partial functional differential equations. In section 4, we apply the main results of this paper to a reaction-diffusion equation with time delay and the diffusive Nicholson’s blowflies equation. WebOscillations of mechanical devices are commonly modeled with Liénard equations. Examples of such devices are MEMS (Micro-Electro-Mechanical Systems), and in … high density electrical method