Periodic Solutions of Second-Order Differential Inclusions Systems with -Laplacian

PERIODIC SOLUTIONS OF SECOND-ORDER DIFFERENTIAL INCLUSIONS SYSTEMS WITH p–LAPLACIAN

Some existence results are obtained for periodic solutions of nonautonomous second-order differential inclusions systems with p–Laplacian.

Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian

* Correspondence: [email protected] School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083, P. R. China Abstract In this article, we investigate the existence of infinitely many periodic solutions for some nonautonomous second-order differential systems with p(t)-Laplacian. Some multiplicity results are obtained using critical point theory. 2...

Periodic Solutions of a Class of Non-autonomous Second-order Differential Inclusions Systems

On Second Order Differential Inclusions with Periodic Boundary Conditions

In this paper a fixed point theorem for condensing maps combined with upper and lower solutions are used to investigate the existence of solutions for second order differential inclusions with periodic boundary conditions.

Twin Positive Periodic Solutions of Second Order Singular Differential Systems

In this paper, we study positive periodic solutions to singular second order differential systems. It is proved that such a problem has at least two positive periodic solutions. The proof relies on a nonlinear alternative of Leray–Schauder type and on Krasnosel’skĭı fixed point theorem on compression and expansion of cones.