Existence of measurable selectors and parametrizations for -valued multifunctions
Existence of mild solutions of a semilinear evolution differential inclusions with nonlocal conditions.
Existence of positive periodic solutions of an SEIR model with periodic coefficients
An SEIR model with periodic coefficients in epidemiology is considered. The global existence of periodic solutions with strictly positive components for this model is established by using the method of coincidence degree. Furthermore, a sufficient condition for the global stability of this model is obtained. An example based on the transmission of respiratory syncytial virus (RSV) is included.
Existence of quasicontinuous selections for the space
The paper presents new quasicontinuous selection theorem for continuous multifunctions with closed values, being an arbitrary topological space. It is known that for with the Vietoris topology there is no continuous selection. The result presented here enables us to show that there exists a quasicontinuous and upperlower-semicontinuous selection for this space. Moreover, one can construct a selection whose set of points of discontinuity is nowhere dense.
Existence of solutions for some Hammerstein type integro-differential inclusions.
Existence of solutions to second order ordinary differential equations having finite limits at infinity.
Existence of universal connections
Existence theorems for generalized distance on complete metric spaces.
Exotic ANR's via null decompositions of Hilbert cube manifolds
Exotic topologies for linear spaces
Expandability and its generalizations
Expanding attractors
Expanding Maps of Solenoids.
Expansion of -open sets and decomposition of -continuous mappings.
Expansions of subfields of the real field by a discrete set
Let K be a subfield of the real field, D ⊆ K be a discrete set and f: Dⁿ → K be such that f(Dⁿ) is somewhere dense. Then (K,f) defines ℤ. We present several applications of this result. We show that K expanded by predicates for different cyclic multiplicative subgroups defines ℤ. Moreover, we prove that every definably complete expansion of a subfield of the real field satisfies an analogue of the Baire category theorem.
Expansive Automorphisms in Compact Groups.
Expansive collections of continua
Expansive homeomorphisms and indecomposability
Expansive transformation semigroups of endomorphisms
Expansiveness on Compact Piecewise Linear Manifolds.