CONLEY INDEX AND HOMOLOGY INDEX BRAIDS IN SINGULAR PERTURBATION PROBLEMS WITHOUT UNIQUENESS OF SOLUTIONS

Autor(es)

Carbinatto, Maria C. ^[1] ; Rybakowski, Krzysztof P. ^[2]

Afiliação do(s) autor(es)

^[1] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Rostock, Inst Math, D-18057 Rostock - Germany

• Tipo de documento: Artigo Científico
• Fonte: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 35, n. 1, p. 1-32, MAR 2010.
• Citações Web of Science: 0

Resumo

We define the concept of a Conley index and a homology index braid class for ordinary differential equations of the form (E) x = F(1)(x), where M is a C(2)-manifold and F(1) is the principal part of a continuous vector field on M This allows us to extend our previously obtained results from {[}5] on singularly perturbed systems of ordinary differential equations epsilon y = f(y, x, epsilon), (E(epsilon)) x = h(y, x, epsilon) on Y x M, where Y is a finite dimensional Banach space and M is a C(2)- manifold. to the case where the vector field in (E(epsilon)) is continuous, but not necessarily locally Lipschitzian (AU)

• Processo FAPESP: 08/53440-0 - O índice de Conley e o comportamento assintótico de equações de evolução perturbadas
• Beneficiário: Maria Do Carmo Carbinatto
• Modalidade de apoio: Bolsas no Exterior - Pesquisa