Existence of flat tori in analytic manifolds of nonpositive curvature
The paper presents an existence result for global solutions to the finite dimensional differential inclusion being defined on a closed set A priori bounds for such solutions are provided.
In this paper, we are concerned with the existence of one-signed solutions of four-point boundary value problems and where , is a constant and is a parameter, , with for . The proof of the main results is based upon bifurcation techniques.
For a certain class of functional differential equations with perturbations conditions are given such that there exist solutions which converge to solutions of the equations without perturbation.
We study the existence of periodic solutions for Liénard-type p-Laplacian systems with variable coefficients by means of the topological degree theory. We present sufficient conditions for the existence of periodic solutions, improving some known results.