A theorem of Nehari type on weighted Bergman spaces of the unit ball.
A theorem of Rolewicz's type for measurable evolution families in Banach spaces.
A Theorem of the Closed Graph Type.
A theorem of the Hahn-Banach type and its applications
Let Y be a subgroup of an abelian group X and let T be a given collection of subsets of a linear space E over the rationals. Moreover, suppose that F is a subadditive set-valued function defined on X with values in T. We establish some conditions under which every additive selection of the restriction of F to Y can be extended to an additive selection of F. We also present some applications of results of this type to the stability of functional equations.
A Theorem On Fixed Points In Locally Convex Spaces
A theorem on "localized" self-adjointness of Schrödinger operators with potentials.
A theorem on many fixed points for nonlinear operator.
A theorem on the common fixed point in locally convex spaces
A theory on perturbations of the Dirac operator.
A third order boundary value problem subject to nonlinear boundary conditions
Utilizing the theory of fixed point index for compact maps, we establish new results on the existence of positive solutions for a certain third order boundary value problem. The boundary conditions that we study are of nonlocal type, involve Stieltjes integrals and are allowed to be nonlinear.
A third order nonlocal boundary value problem at resonance.
A third-order 3-point BVP. Applying krasnosel'skii's theorem on the plane without a Green's function.
A third-order -point boundary-value problem of Dirichlet type involving a -Laplacian type operator.
A Thom isomorphism for infinite rank Euclidean bundles.
A Tikhonov-type theorem for abstract parabolic differential inclusions in Banach spaces
We consider a class of singularly perturbed systems of semilinear parabolic differential inclusions in infinite dimensional spaces. For such a class we prove a Tikhonov-type theorem for a suitably defined subset of the set of all solutions for ε ≥ 0, where ε is the perturbation parameter. Specifically, assuming the existence of a Lipschitz selector of the involved multivalued maps we can define a nonempty subset of the solution set of the singularly perturbed system. This subset is the set of...
A topological characterization of the product of two closed operators
The purpose of this work is to give a topological condition for the usual product of two closed operators acting in a Hilbert space to be closed.
A topological structure of solution sets to evolution systems
A topological version of the Ambrosetti-Prodi theorem
The existence of at least two solutions for nonlinear equations close to semilinear equations at resonance is obtained by the degree theory methods. The same equations have no solutions if one slightly changes the right-hand side. The abstract result is applied to boundary value problems with specific nonlinearities.
A toroidal compactification of the Fermi surface for the discrete Schrödinger operator.
A trace formula for resonances and application to semi-classical Schrödinger operators
On décrit une formule de trace [S] pour les résonances, qui est valable en toute dimension et pour les perturbations à longue portée du Laplacien. On établit une nouvelle application à l’éxistence de nombreuses résonances pour des opérateurs de Schrödinger semi-classiques.