Existence of periodic solutions for first-order evolution equations without coercivity

Existence of Periodic Solutions for Higher-order Nonlinear Difference Equations

In this article, we study a higher-order nonlinear difference equation. By using critical point theory, we establish sufficient conditions for the existence of periodic solutions.

Existence of multiple periodic solutions for first order functional differential equations

We obtain sufficient conditions for the existence of three T -periodic solutions of the first order functional differential equation u(t) = a(t)g(u(t))u(t) − b(t)f (u(t − τ(t))), where a, b, τ ∈ C(R, R) are T -periodic functions, f , g ∈ C(R, R), and g is not necessarily bounded. As an application of our theorem, we also derived criteria for the existence of three T -periodic solutions of the e...

Existence of Solutions to First-Order Periodic Boundary Value Problems

This article investigates the existence of solutions to boundary value problems (BVPs) involving systems of first-order ordinary differential equations and two-point, periodic boundary conditions. The methods involve novel differential inequalities and fixed-point theory to yield new theorems guaranteeing the existence of at least one solution. AMS 2000 Classification: 34B15

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

Anti-periodic solutions for fully nonlinear first-order differential equations

In this paper, we study the anti-periodic boundary value problems for nonlinear first-order differential equations both in finite and in infinite dimensional spaces. Several new existence results are obtained. c © 2007 Elsevier Ltd. All rights reserved.