Periodic solutions for first-order cubic non-autonomous differential equation with bifurcation analysis

Periodic solutions of fourth-order delay differential equation

In this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. Some new positive periodic criteria are given.  

Periodic Solutions of Second Order Non-autonomous Differential Systems

We study the existence of nonnegative solutions for second order nonlinear differential systems with periodic boundary conditions. In this class of problems, where the associated Green’s function may take on negative values, and the nonlinear term is allowed to be singular. Our method is based on the Guo-Krasnosel’skii fixed point theorem of cone expansion and compression type, involving a new ...

periodic solutions of fourth-order delay differential equation

in this paper the periodic solutions of fourth order delay differential equation of the form $ddddot{x}(t)+adddot{x}(t)+f(ddot{x}(t-tau(t)))+g(dot{x}(t-tau(t)))+h({x}(t-tau(t)))=p(t)$  is investigated. some new positive periodic criteria are given.

Multiple Periodic Solutions for a First Order Nonlinear Functional Differential Equation with Applications to Population Dynamics

In this paper, we use Leggett-Williams multiple fixed point theorem to obtain several different sufficient conditions for the existence of at least three positive periodic solutions for the first order functional differential equations of the form y′(t) = −a(t)y(t) + λf(t, y(h(t))). Some applications to mathematical ecological models and population models are also given. AMS (MOS) Subject class...

A method for solving first order fuzzy differential equation