A splitting lemma for non-reflexive Banach spaces.
A Splitting Theorem for Maps Into IR2 .
A Sufflcient Condition for a Critical Point of a Functional to be a Minimum and Its Application to Plateau' s Problem.
A Symplectic Fixed Point Theorem on ... .
A theorem on the escape from the space of hyperbolic polynomials.
About the attractive points of the root functions on the Riemannian foliation.
Accurate eigenvalue asymptotics for the magnetic Neumann Laplacian
Motivated by the theory of superconductivity and more precisely by the problem of the onset of superconductivity in dimension two, many papers devoted to the analysis in a semi-classical regime of the lowest eigenvalue of the Schrödinger operator with magnetic field have appeared recently. Here we would like to mention the works by Bernoff-Sternberg, Lu-Pan, Del Pino-Felmer-Sternberg and Helffer-Morame and also Bauman-Phillips-Tang for the case of a disc. In the present paper we settle one important...
Addendum: Systems of Toda Type, Inverse Spectral Problems, and Representation Theory.
Ako riešiť algebraické rovnice pomocou rovnic diferenciálnych
Algebras Q (f) Determine the Topological Types of Generic Map-Germs.
An algebraic construction of the generic singularities of Boardman-Thom
An analog of Sard's theorem for -smooth functions of two variables.
An Application of -K-Theory to the Global Analysis of Matrix Valued Functions.
An application of the Hahn-Banach theorem in convex analysis
An application of the induction method of V. Pták to the study of regula falsi
In this paper we introduce the notion of "-dimensional rate of convergence" which generalizes the notion of rate of convergence introduced by V. Pták. Using this notion we give a generalization of the Induction Theorem of V. Pták, which may constitute a basis for the study of the iterative procedures of the form , . As an illustration we apply these results to the study of the convergence of the secant method, obtaining sharp estimates for the errors at each step of the iterative procedure.
An application of the Nash-Moser theorem to ordinary differential equations in Fréchet spaces
A general existence and uniqueness result of Picard-Lindelöf type is proved for ordinary differential equations in Fréchet spaces as an application of a generalized Nash-Moser implicit function theorem. Many examples show that the assumptions of the main result are natural. Applications are given for the Fréchet spaces , , , , for Köthe sequence spaces, and for the general class of subbinomic Fréchet algebras.
An arithmetic characterisation of the symmetric monodromy groups of singularities.
An Effective Approach to Keller's Jacobian Conjecture.
An Example of Moduli for Singular Symplec-tic Forms
An extension of the topological degree in Hilbert space.