Search Results - "Chaikovs’kyi, A.V."

Bounded Solutions of Difference Equations in a Banach Space with Input Data from Subspaces by Chaikovs’kyi, A.V., Lagoda, O. A.

“…We study the problem of existence and uniqueness of a bounded solution to a difference equation of the first order with constant operator coefficient in a…”
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On One Property of the Moduli of Smoothness with Jacobi Weights by Nesterenko, O. N., Petrova, I. L., Chaikovs’kyi, A.V.

“…We prove a generalization of an important inequality for the moduli of smoothness with Jacobi weights…”
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Bounded Solutions of Difference Equations in a Banach Space with Asymptotically Constant Operator Coefficient by Chaikovs’kyi, A. V., Lagoda, O. A.

“…We study the problem of existence of a unique bounded solution for a difference equation on the half axis with asymptotically constant operator coefficients in…”
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On Some Conditions for the Second Moduli of Continuity by Chaikovs’kyi, A. V.

“…We study the second moduli of continuity for functions from the space of continuous and periodic real functions and the space of functions uniformly continuous…”
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On the application of the theory of G-sectorial operators to partial differential equations by Chaikovs’kyi, A. V.

“…We show that several types of partial differential equations of the parabolic type can be reduced to differential equations with G -sectorial operator…”
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On solutions defined on an axis for differential equations with shifts of the argument by Chaikovs’kyi, A. V.

“…We consider linear first-order differential equations with shifts of the argument for functions with values in a Banach space. Sufficient conditions for the…”
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Functions of shift operator and their applications to difference equations by Chaikovs’kyi, A. V.

“…We study the representation for functions of shift operator acting upon bounded sequences of elements of a Banach space. An estimate is obtained for the…”
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Cauchy problem for a differential equation in the Banach space with generalized strongly positive operator coefficient by Il’chenko, Yu. V., Chaikovs’kyi, A. V.

“…The concept of strongly positive operator is generalized and the properties of the introduced operators are analyzed. The solutions of the Cauchy problem for a…”
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One Inequality for the Moduli of Continuity of Fractional Order Generated by Semigroups of Operators by Bezkryla, S. I., Nesterenko, O. N., Chaikovs’kyi, A. V.

“…A new inequality for the moduli of continuity of fractional order generated by semigroups of operators is obtained. This inequality yields a generalization to…”
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On the Third Moduli of Continuity by Bezkryla, S. I., Nesterenko, O. N., Chaikovs’kyi, A. V.

“…An inequality for the third uniform moduli of continuity is proved. This inequality implies that an arbitrary 3-majorant is not necessarily a modulus of…”
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