1 - 10 of 17 articles
AbstractIn this paper, we prove a common fixed point theorem for two pairs of weakly compatible self-mappings of a complete metric space without requiring continuity. Our result generalizes a theorem obtained by V. Popa and H. K. Pathak in 1998 and a result obtained by B. Fisher and S. Sessa in...
AbstractLet 𝑋 be a holomorphically convex complex manifold and Exc(𝑋) ⊆ 𝑋 the union of all positive dimensional compact analytic subsets of 𝑋. We assume that Exc(𝑋) ≠ 𝑋 and 𝑋 is not a Stein manifold. Here we prove the existence of a holomorphic vector bundle 𝐸 on 𝑋 such that is not...
AbstractIn this paper, sufficient conditions are established for the controllability of Sobolev type semilinear functional differential and integrodifferential inclusions with an unbounded delay in Banach spaces. The main results are obtained by using the fixed point theorem for condensing maps...
AbstractWe use the contraction mapping theorem to obtain stability results of the scalar nonlinear neutral differential equation with functional delay𝑥′(𝑡) = –𝑎𝑥(𝑡) + 𝑏(𝑡)𝑥2(𝑡 – 𝑟(𝑡)) + 𝑐(𝑡)𝑥(𝑡 – 𝑟(𝑡))𝑥′(𝑡 – 𝑟(𝑡)).
AbstractA general representation of solutions by six metaharmonic functions is obtained for a system of homogeneous equations of oscillation of two-component mixtures. The boundary value problem of oscillation of two-component mixtures is investigated when the normal components of partial...
AbstractBases of the spaces of Eisenstein series 𝐸𝑘(Γ0(4𝑁), χ) (𝑘 ∈ ℕ, 𝑘 ≥ 3, 𝑁 is an odd natural and square-free) and , ℕ is an odd natural and square-free) are constructed for any Dirichlet character mod 4𝑁 and Fourier expansions of these series are obtained.
AbstractA cotorsion hull of the separable 𝑝-group 𝑇 is considered when 𝑇 is a direct sum of torsion-complete groups. It is proved that in the considered case its cotorsion hull is fully transitive if and only if 𝑇 is a direct sum of cyclic groups or is a torsion-complete group.
AbstractIn this paper, generating relations involving generalized Gegenbauer polynomials are obtained by constructing a three-dimensional Lie algebra isomorphic to special linear algebra sl(2). Further, a number of new interesting relations involving various generalized polynomials are obtained...
AbstractSeveral combinatorial questions and facts connected with certain types of mutual positions of finitely many hyperplanes in a finite-dimensional affine space are considered. An application of one of such facts to a multi-dimensional version of the well-known Sylvester theorem is presented.
Abstract We study the boundedness of the maximal operator in the spaces 𝐿 𝑝(·) (ष, ρ ) over a bounded open set ष in 𝑅 𝑛 with the weight , where 𝑤 𝑘 has the property that belongs to a certain Zygmund-type class. Weight functions 𝑤 𝑘 may oscillate between two power functions with different...
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