Search Results - "Lomovtsev, F. E."
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1
Mixed Problem for a General 1D Wave Equation with Characteristic Second Derivatives in a Nonstationary Boundary Mode
Published in Mathematical Notes (01-09-2021)“…We use a modified method of characteristics to derive an explicit formula for the unique stable classical solution of a linear mixed problem for a general…”
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2
Solution of a mixed problem with oblique derivatives in the boundary conditions for the inhomogeneous string vibration equation without continuing the data
Published in Differential equations (01-08-2016)“…We find closed-form recursion formulas for the unique classical solution of a mixed problem describing forced vibrations of a bounded string under two boundary…”
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3
Boundary control of forced string vibrations by first directional derivatives on a short time interval
Published in Differential equations (01-12-2015)“…We solve a problem on the boundary control of forced vibrations of a homogeneous string by two first directional derivatives with time-dependent coefficients…”
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4
Sewing method for weak solutions of second-order hyperbolic equation with variable domains of discontinuous unbounded operators
Published in Differential equations (01-05-2014)“…We prove the existence and uniqueness of global weak solutions on the entire interval for the Cauchy problem for hyperbolic differential-operator equations…”
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5
Factorized equation of vibrations of a finite string with nonstationary second directional derivatives at the endpoints
Published in Differential equations (01-06-2016)“…We obtain closed-form recursion formulas for the classical solutions of a mixed problem for the general inhomogeneous factorized equation of vibrations of a…”
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6
On a Stable Approximation to Boundary Value Problems for Evolution Operator-Differential Equations with Variable Domains
Published in Differential equations (01-05-2005)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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7
Boundary Value Problems for Complete Quasi-Hyperbolic Differential Equations with Variable Domains of Smooth Operator Coefficients: II
Published in Differential equations (01-04-2005)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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8
Boundary Value Problems for Complete Quasi-Hyperbolic Differential Equations with Variable Domains of Smooth Operator Coefficients: I
Published in Differential equations (01-02-2005)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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9
Necessary and sufficient conditions for the vibrations of a bounded string with directional derivatives in the boundary conditions
Published in Differential equations (2014)“…We obtain a closed-form expression for the classical solutions of a mixed problem describing the forced vibrations of a bounded string for two boundary modes…”
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10
Boundary value problems for complete partial differential equations of variable order
Published in Differential equations (01-09-2010)“…We prove the well-posedness of new boundary value problems for partially pseudodifferential complete nonclassical equations of variable order in space…”
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11
Cauchy problem for quasiparabolic factorized differential equations with variable domains of smoothed operators
Published in Differential equations (2009)“…We prove existence, uniqueness, and stability theorems for strong solutions of Cauchy problems for quasiparabolic factorized operator-differential equations…”
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12
Goursat problem for two-dimensional second-order hyperbolic operator-differential equations with variable domains
Published in Differential equations (2012)“…We develop a modification of the energy inequality method and use it to prove the well-posedness of the Goursat problem for linear second-order hyperbolic…”
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13
Boundary value problems for complete quasi-parabolic differential equations of odd order with variable domains of operators
Published in Differential equations (01-06-2008)“…We prove the well-posed solvability in the strong sense of the boundary value Problems where the unbounded operators A s ( t ), s > 0, in a Hilbert space H…”
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14
Cauchy problem for quasihyperbolic factorized differential equations with variable domains of discontinuous operators
Published in Differential equations (01-10-2007)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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15
Smoothness of Strong Solutions of Complete Hyperbolic Second-Order Differential Equations with Variable Domains of Operator Coefficients
Published in Differential equations (01-02-2001)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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16
First-order differential-operator equation with variable domains of piecewise smooth operators
Published in Differential equations (01-02-2011)“…We prove the existence, uniqueness, and smoothness of weak solutions of a first-order differential-operator equation with variable domains of nonself-adjoint…”
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17
Nonlocal problem for complete second-order hyperbolic operator-differential equations with variable domains
Published in Differential equations (01-04-2011)“…We prove the well-posed solvability (in the strong sense) of complete second-order hyperbolic operator-differential equations with variable domains of…”
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18
The Cauchy problem for complete second-order hyperbolic differential equations with variable domains of operator coefficients
Published in Differential equations (01-04-2000)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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19
Cauchy problems for quasi-hyperbolic factorized even-order differential equations with smooth operator coefficients having variable domains
Published in Differential equations (01-06-2007)“…(ProQuest: Abstract omitted; see image)[PUBLICATION ABSTRACT]…”
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20
Euler-Poisson-Darboux differential-operator equation with variable domains of smooth operators
Published in Differential equations (01-08-2010)“…We prove the strong well-posed solvability of the Cauchy problem for a second-order singular hyperbolic differential equation with variable domain of variable…”
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