Waldyr Muniz Oliva, Brazilian mathematician (Santos, São Paulo State 16 June 1930 –
DEVELOPED CONCEPTS AND DEFINITIONS
Introduced Birkhoffian at finite or infinite dimensions
Introduced the concept of the attractor of a retarded functional differential equations
Proposed the specific notion of compact global attractor (1970s)
Une definition équivalente à l’involution de E. Cartan pour les systemes d’equations aux derivées partielles. Cahiers Topol. Geom. Diff. Categor. 11(2):201-5, 1969
CONTRIBUTIONS
Presented a characterization for the notions of regular and singular curves
With I. Kupka. The non-holonomic mechanisms. J. Diff. Equations 169(1):169-89, 2001
Presented a mathematical model for analyzing population dynamics involving human and mosquitoes
With E.M. Sallum. Periodic dynamic systems for infected hosts and mosquitoes. Rev. Saude Publica 30(3):218-23, 1996
Presented a new non-integrability approach
On the chaotic behavior and non-integrability of four vortices problem. Ann. Inst. Henri Poincaré 55:707-18, 1991
First to establish a sample path LDP for an SDDE with additive noise
With R. Langevin & J.C.F. Oliveira. Retarded functional differential equations with white noise perturbations (1991)
Constructed a new class of Morse-Smale systems
With G. Fusco. Jacobi matrices and transversality. Proceed. Royal Soc. Edinburgh Sec. A. Math (1988)
DEVELOPED THEOREMS
With P. Duarte & R.L. Fernandes. Dynamics of the attractor in the Lotka-Volterra equations. J. Diff. Equations 149(1):143-89, 1998
With N.M. Kuhl & L.T. Magalhães. Diffeomorphisms of Rn with oscillatory jacobians. Publ. Matem. 437:255-69, 1993
With G. Fusco. A Perron theorem for the existence of invariant subspaces. Ann. Math. Pura Appl. (1991)
Functional differential equations on compact manifolds and an approximation theorem. J. Diff. Equations 5:483-96, 1969