This paper deals with global injectivity of vector fields defined on euclidean spaces. Our main result establishes a version of Rolle's Theorem under generalized Palais-Smale conditions. As a consequence of this, we prove global injectivity for a class of vector fields defined on n-dimensional spaces. © 1998, Sociedade Brasileira de Matemática.292301327Ambrosetti, A., Rabinowitz, P.H., Dual variational methods in critical point theory and applications (1973) J. F. Anal., 14, pp. 349-381Chang, K.C., (1986) Infinite Dimensional Morse Theory and its Applications, , Les presses de L'Université de MontréalGutierrez, C., A solution to the bidimensional global asymptotic stability conjecture (1995) Ann. Inst. H. Poincaré, Analyse Non Linéaire, 12,...
Let φ: ℝ 2 → ℝ 2 be an orientation-preserving C 1 involution such that φ(0) = 0. Let Spc(φ) = {Eigen...
Motivated by conjecture Jacobian, it presents a change considering semi-algebraic maps and interesti...
Vector fields in infinite-dimensional manifolds play an important role in differential topology-geom...
Neste texto é feita uma discussão sobre alguns resultados que fornecem condições suficientes para qu...
Neste trabalho, estamos interessados em estudar a solução do seguinte problema: Seja Y = ( f ,g) um ...
summary:We give in this paper conditions for a mapping to be globally injective in a topological vec...
We discuss a result of ourselves on the global asymptotic stability conjecture for planar vector fi...
We study two sufficient conditions that imply global injectivity for a C-1 Map X : R-2 -> R-2 such t...
In this work we consider two sufficient conditions for the global injectivity of local diffeomorphi...
C. Olech |28] provou que os problemas de estabilidade assintótica global de campos de vetores no Rn ...
Abstract(a) Let X:R2→R2 be a differentiable map (not necessarily C1) and let Spec(X) be the set of (...
Under certain analytic and geometric assumptions we show that local stability of the coexistence (po...
AbstractWe prove a sufficient condition for injectivity in a class of mappings defined on open conne...
AbstractLet v:Rn→Rn be a C1 vector field which has a singular point O and its linearization is asymp...
Under certain analytic and geometric assumptions we show that local sta bility of the coexistence (p...
Let φ: ℝ 2 → ℝ 2 be an orientation-preserving C 1 involution such that φ(0) = 0. Let Spc(φ) = {Eigen...
Motivated by conjecture Jacobian, it presents a change considering semi-algebraic maps and interesti...
Vector fields in infinite-dimensional manifolds play an important role in differential topology-geom...
Neste texto é feita uma discussão sobre alguns resultados que fornecem condições suficientes para qu...
Neste trabalho, estamos interessados em estudar a solução do seguinte problema: Seja Y = ( f ,g) um ...
summary:We give in this paper conditions for a mapping to be globally injective in a topological vec...
We discuss a result of ourselves on the global asymptotic stability conjecture for planar vector fi...
We study two sufficient conditions that imply global injectivity for a C-1 Map X : R-2 -> R-2 such t...
In this work we consider two sufficient conditions for the global injectivity of local diffeomorphi...
C. Olech |28] provou que os problemas de estabilidade assintótica global de campos de vetores no Rn ...
Abstract(a) Let X:R2→R2 be a differentiable map (not necessarily C1) and let Spec(X) be the set of (...
Under certain analytic and geometric assumptions we show that local stability of the coexistence (po...
AbstractWe prove a sufficient condition for injectivity in a class of mappings defined on open conne...
AbstractLet v:Rn→Rn be a C1 vector field which has a singular point O and its linearization is asymp...
Under certain analytic and geometric assumptions we show that local sta bility of the coexistence (p...
Let φ: ℝ 2 → ℝ 2 be an orientation-preserving C 1 involution such that φ(0) = 0. Let Spc(φ) = {Eigen...
Motivated by conjecture Jacobian, it presents a change considering semi-algebraic maps and interesti...
Vector fields in infinite-dimensional manifolds play an important role in differential topology-geom...