Periodic Solutions in a Given Set of Differential Systems

Periodic Solutions of Superlinear Impulsive Differential Systems

We develop continuation technique to obtain periodic solutions for superlinear planar differential systems of first order with impulses. Our approach was inspired by some works by Capietto, Mawhin and Zanolin in analogous problems without impulses and uses instead of Brouwer degree the much more elementary notion of essential map in the sense of fixed point theory. AMS (MOS) subject classificat...

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.  

ON THE PERIODIC SOLUTIONS OF A CLASS OF nTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS *

The nth order differential equation x + c (t )x + ƒ( t,x) = e(t),n>3 is considered. Using the Leray-Schauder principle, it is shown that under certain conditions on the functions involved, this equation possesses a periodic solution.

PERIODIC SOLUTIONS OF CERTAIN THREE DIMENSIONAL AUTONOMOUS SYSTEMS

There has been extensive work on the existence of periodic solutions for nonlinear second order autonomous differantial equations, but little work regarding the third order problems. The popular Poincare-Bendixon theorem applies well to the former but not the latter (see [2] and [3]). We give a necessary condition for the existence of periodic solutions for the third order autonomous system...

Stability results for set solution of fuzzy integro-differential systems