On differential spaces whose Cartesian product is a differentiable manifold
On differential subspaces of Cartesian space
On divergent diagrams of finite codimension.
On Eigenspaces of the Hecke Algebra with Respect to a Good Maximal Compact Subgroup of ap-Adic Reductive Group.
On embedded minimal disks in convex bodies
On embedding curves in surfaces
Contrary to a statement of Borsuk the author proves that every locally plane Peano continuum is embeddable into a 2-manifold.
On Equivalence of Ideals of Real Global Analytic Functions and the 17th Hilbert Problem.
On equivalence relations on a differential space
On equivariant harmonic maps defined on a Lorentz manifold
In this paper, we prove by using the minimax principle that there exist infinitely many -equivariant harmonic maps from a specific Lorentz manifold to a compact Riemannian manifold.
On equivariant p-harmonic maps
On estimating the diffusion coefficient
On existence of harmonic maps from a surface to the spcae of it
On exterior forms and exterior differential on a differential space of finite dimension.
On -differentiable Fredholm operators of nonstationary initial-boundary value problems
We are dealing with Dirichlet, Neumann and Newton type initial-boundary value problems for a general second order nonlinear evolution equation. Using the Fredholm operator theory we establish some sufficient conditions for Fréchet differentiability of associated operators to the given problems. With help of these results the generic properties, existence and continuous dependency of solutions for initial-boundary value problems are studied.
On -planar mappings of affine-connection spaces with infinite dimension
On families of trajectories of an analytic gradient vector field
For an analytic function f:ℝⁿ,0 → ℝ,0 having a critical point at the origin, we describe the topological properties of the partition of the family of trajectories of the gradient equation ẋ = ∇f(x) attracted by the origin, given by characteristic exponents and asymptotic critical values.
On Finite Ck Left Determinacy.
On Finite Determinacy of Formal Vector Fields.
On first order elliptic equations for sections of complex line bundles
On foliations in Sikorski differential spaces with Brouwerian leaves
The class of locally connected and locally homeomorphically homogeneous topological spaces such that every one-to-one continuous mapping of an open subspace into the space is open has been considered. For a foliation F [3] on a Sikorski differential space M with leaves having the above properties it is proved that for some open sets U in M covering the set of all points of M the connected components of U ∩ L̲ in the topology of M coincide with the connected components in the topology of L for L∈...