Existence of anti-periodic solutions for second-order ordinary differential equations involving the Fučík spectrum

Existence and Uniqueness of Periodic Solution for Nonlinear Second-Order Ordinary Differential Equations

The study on periodic solutions for ordinary differential equations is a very important branch in the differential equation theory. Many results about the existence of periodic solutions for second-order differential equations have been obtained by combining the classical method of lower and upper solutions and the method of alternative problems The Lyapunov-Schmidt method as discussed by many ...

Existence of solutions for integral boundary value problems of second-order ordinary differential equations

*Correspondence: [email protected] 1Department of Applied Mathematics, Shandong University of Science and Technology, Qingdao, Shandong 266590, P.R. China Full list of author information is available at the end of the article Abstract In this paper, we investigate the existence of solutions for some second-order integral boundary value problems, by applying new fixed point theorems in Banach sp...

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...

Recent Existence Results for Second-Order Singular Periodic Differential Equations

On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays

and Applied Analysis 3 The techniques used in this paper are completely different from those in 5 . Our results are more general than those in 5 in two aspects. Firstly, we relax the conditions of the coefficient a t appeared in an equation in 5 and expand the range of its values. Secondly, by constructing a special cone and applying the fixed-point index theory in cones, we obtain the essentia...