Existence of periodic solutions of (2n + 1)th-order ordinary differential equations

Existence of periodic solutions of (2n + 1)th-order ordinary differential equations

The goal of this paper is to prove the existence and uniqueness of periodic solutions for a class of the odd order differential equations. Here the Leray–Schauder degree theory and the Schwarz inequality are used.  2002 Elsevier Science (USA). All rights reserved.

ON TE EXISTENCE OF PERIODIC SOLUTION FOR CERTAIN NONLINEAR THIRD ORDER DIFFERENTIAL EQUATIONS

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay

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Existence of periodic solutions for a semilinear ordinary differential equation

Dancer [3] found a necessary and sufficient condition for the existence of periodic solutions to the equation ẍ+ g1(ẋ) + g0(x) = f(t) . His condition is based on a functional that depends on the solution to the above equation with g0 = 0. However, that solution is not always explicitly known which makes the condition unverifiable in practical situations. As an alternative, we find computable bo...

ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR CERTAIN NON-LINEAR DIFFERENTIAL EQUATIONS

Here we consider some non-autonomous ordinary differential equations of order n and present some results and theorems on the existence of periodic solutions for them, which are sufficient conditions, section 1. Also we include generalizations of these results to vector differential equations and examinations of some practical examples by numerical simulation, section 2. For some special cases t...