Search Results - "Il'kiv, V S"
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Solvability Conditions for the Nonlocal Boundary-Value Problem for a Differential-Operator Equation with Weak Nonlinearity in the Refined Sobolev Scale of Spaces of Functions of Many Real Variables
Published in Ukrainian mathematical journal (01-09-2020)“…We study the solvability of the nonlocal boundary-value problem for a differential equation with weak nonlinearity. By using the Nash–Mozer iterative scheme,…”
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Nonlocal Boundary-Value Problem for a Differential-Operator Equation with Weak Nonlinearity in the Spaces of Dirichlet–Taylor Series with Fixed Spectrum
Published in Journal of mathematical sciences (New York, N.Y.) (02-06-2018)“…We study the nonlocal boundary-value problem for a differential-operator equation with nonlinear right-hand side and an operator B = ( B 1 ,… B p ), where its…”
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A Nonlocal Boundary Value Problem for Systems of Infinite-Order Partial Differential Equations
Published in Differential equations (01-02-2005)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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The smoothness of solutions of the problems with nonlocal multi-point conditions for strictly hyperbolic equations
Published in Karpats'kì matematinì publìkacìï (01-06-2009)“…We consider the problem with nonlocal multi-point boundary conditions for high order in time strictly hyperbolic equation with variable coe±cients in Cartesian…”
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5
Metric Estimates of the Characteristic Determinant of Multipoint Problem for an Euler-Type Equation
Published in Journal of mathematical sciences (New York, N.Y.) (2024)“…We establish lower estimates for the characteristic determinant of a problem with multipoint conditions in the selected variable with simple interpolation…”
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Nonlocal Boundary-Value Problem for an Equation with Differentiation Operator z ∂/∂z in a Refined Sobolev Scale
Published in Journal of mathematical sciences (New York, N.Y.) (04-07-2023)“…We study a nonlocal boundary-value problem for a differential equation with operator of generalized differentiation B = z ∂/∂ z acting upon the functions of…”
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On Nontrivial Solutions of a Homogeneous Two-Point (In Time) Problem for the System of Equations of the Dynamic Theory of Elasticity
Published in Journal of mathematical sciences (New York, N.Y.) (01-04-2021)“…We establish sufficient conditions for the existence of nontrivial solutions of a homogeneous system of Lamé equations satisfying homogeneous two-point (in…”
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On the Unique Solvability of a Three-Point Problem for Partial Differential Equation in a Two-Dimensional Domain
Published in Journal of mathematical sciences (New York, N.Y.) (02-04-2020)“…We study the problem with three-point conditions with respect to the time for a homogeneous partial differential equation in a plane domain. It is shown that…”
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Nonlocal Boundary-Value Problem for a Second-Order Partial Differential Equation in an Unbounded Strip
Published in Ukrainian mathematical journal (01-03-2019)“…The conditions of well-posedness of nonlocal boundary-value problems are established for a second-order linear partial differential equation in an unbounded…”
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Solvability of the Nonlocal Boundary-Value Problem for a System of Differential-Operator Equations in the Sobolev Scale of Spaces and in a Refined Scale
Published in Ukrainian mathematical journal (01-10-2015)“…We study the solvability of the nonlocal boundary-value problem with one parameter for a system of differential-operator equations in the Sobolev scale of…”
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Nonuniqueness conditions for the solutions of the Dirichlet problem in a unit disk in terms of the coefficients of differential equation
Published in Journal of mathematical sciences (New York, N.Y.) (02-10-2013)“…We consider the Dirichlet problem in a unit disk for the main-type partial differential equations with constant complex-valued coefficients whose symbols are…”
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12
The smoothness of solutions of the problems with nonlocal multi-point conditions for strictly hyperbolic equations
Published in Karpats'kì matematinì publìkacìï (01-12-2012)“…We consider the problem with nonlocal multi-point boundary conditions for high order in time strictly hyperbolic equation with variable coe±cients in Cartesian…”
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Algebraic and asymptotic formulas that relate superresolution methods
Published in Radiophysics and quantum electronics (01-02-1994)Get full text
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Nonlocal two-point problem for partial differential equations with linearly dependent coefficients
Published in Journal of mathematical sciences (New York, N.Y.) (08-05-2010)“…In the Cartesian product of the time segment and a spatial multidimensional torus, we investigate a problem with nonlocal two-point boundary conditions for a…”
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Problems for partial differential equations with nonlocal conditions. Metric approach to the problem of small denominators
Published in Ukrainian mathematical journal (01-12-2006)Get full text
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An ill-posed nonlocal two-point problem for systems of partial differential equations
Published in Siberian mathematical journal (01-01-2005)Get full text
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Estimate of the Measure of Level Set for the Solutions of Differential Equations with Constant Coefficients
Published in Journal of mathematical sciences (New York, N.Y.) (01-08-2016)“…We establish the upper estimate of the measure of level set for the functions obtained as solutions of inhomogeneous ordinary differential equations with…”
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A nonlocal boundary-value problem for partial differential equations of infinite order
Published in Ukrainian mathematical journal (1984)Get full text
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A nonlocal multipoint problem for pseudodifferential operators with analytic symbols
Published in Ukrainian mathematical journal (1987)Get full text
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A problem with formal initial conditions for differential equations with constant pseudodifferential coefficients
Published in Ukrainian mathematical journal (01-07-1998)Get full text
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