Using the symmetry property of the inverse degree index, in this paper, we obtain several mathematical relations of the inverse degree polynomial, and we show that some properties of graphs, such as the cardinality of the ...

A nonlinear elliptic second order system with a nonlinear boundary condition is studied. We prove an existence result under a Hartman type condition. Moreover, assuming appropriate conditions of Nirenberg type, we prove ...

Let Pk(n, p × q) be the set of all pairs of real polynomial map germs (f, g): (ℝn; 0) → (ℝp × ℝq; 0) with degree of f1, . . ., fp, g1, . . ., gq less than or equal to k 2 N. The main result of this paper shows that the set ...

The aim of this work is to present results of existence of solutions for a class of nonlinear asymmetryc elliptic problems. The asymmetry that we consider here has linear behavior on - infnity and superlinear on + infnity. ...

This article presents a systematic graph theory-based method for the topological synthesis of planar metamorphic mechanisms including metamorphic transformations of links and changes in the degrees-of-freedom. The parts ...

In this paper we present some formulae for topological invariants of projective complete intersection curves with isolated singularities in terms of the Milnor number, the Euler characteristic and the topological genus. ...

In this work, we present original results concerning the theory of Generalized Ordinary Differential Equations (we write generalized ODEs for short) using tools from the Topological Degree theory. In particular, we proved ...

We study the existence of solutions for the nonlinear second order elliptic system ∆u + g(u) = f(x), where g ∈ C(R N \ S, R N ) with S ⊂ R N bounded. Using topological degree methods, we prove an existence result under a ...