1 - 10 of 12 articles
We study the most general class of linear one-dimensional boundary-value problems whose solutions range over a given Sobolev–Slobodetsky space. We establish necessary and sufficient conditions for the unique solvability of problems of this kind and obtain a criterion of continuity of their...
We consider a second-order impulsive differential equation with...
We investigate biharmonic Ricci soliton hypersurfaces (Mn, g, 𝜉, ⋋) whose potential field 𝜉 satisfies certain conditions. We obtain a result based on the average scalar curvature of the compact Ricci soliton hypersurface Mn, where 𝜉 is a general vector field. Then we prove that there are no...
For mappings with branching points satisfying the Poletsky inverse inequality, we obtain some results on their continuous boundary extensions in terms of prime ends. Under certain restriction, the indicated classes of mappings are also equicontinuous in the closure of a given domain.
Let ℱ be a Fitting set of a group G, let π be a nonempty set of primes, and let L ≤ G. In this case, ℱ is called a Fischer π-set of G if the conditions that L ∈ ℱ, K ⊴ L, and H/K is a p-subgroup of L/K for a prime p ∈ π necessarily imply that H ∈ ℱ. It is said that a subgroup F of G is a Fischer...
We study boundary-value problems for the Lyapunov equation in the Hilbert space in the case where the corresponding problem is defined on an interval that depends on a parameter. We obtain necessary and sufficient conditions for the existence of generalized solutions of the problem.
We consider the Potts model on a Cayley tree and prove the existence of Gibbs measures constructed by the method proposed in [H. Akin, U. A. Rozikov, and S. Temir, J. Stat. Phys., 142, 314 (2011)]. In addition, we prove that there exist (k0)-translation invariant Gibbs measures for the Potts...
We establish the sharp boundedness of p-adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, boundedness is also obtained for the commutators of p-adic multilinear Hausdorff operators on...
Let G ⊂ ℂ be a doubly connected domain bounded by two rectifiable Carleson curves. We use the higher modulus of smoothness in order to investigate the approximation properties of (p − 𝜀)-Faber–Laurent rational functions in the subclass of weighted generalized grand Smirnov classes Ep),(G, 𝜔) of...
We present a classification of Chernikov 2-groups with Kleinian top and totally reducible bottom.
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