Conditions of solvability of the nonlocal boundary-value problem for a differential-operator equation with weak nonlinearity

Journal of Mathematical Sciences ◽

10.1007/s10958-021-05458-4 ◽

2021 ◽

Author(s):

Volodymyr S. Il’kiv ◽

Nataliya I. Strap ◽

Iryna I. Volyanska

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Operator Equation ◽

Boundary Value ◽

Nonlocal Boundary ◽

Nonlocal Boundary Value Problem ◽

Weak Nonlinearity ◽

Differential Operator Equation

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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

Journal of Mathematical Sciences ◽

10.1007/s10958-018-3835-8 ◽

2018 ◽

Vol 231 (4) ◽

pp. 572-585 ◽

Author(s):

V. S. Il’kiv ◽

N. I. Strap

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Operator Equation ◽

Taylor Series ◽

Boundary Value ◽

Nonlocal Boundary ◽

Nonlocal Boundary Value Problem ◽

Weak Nonlinearity ◽

Differential Operator Equation

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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

Ukrainian Mathematical Journal ◽

10.1007/s11253-020-01798-7 ◽

2020 ◽

Vol 72 (4) ◽

pp. 515-535

Author(s):

V. S. Il’kiv ◽

N. I. Strap ◽

I. I. Volyanska

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Operator Equation ◽

Boundary Value ◽

Nonlocal Boundary ◽

Nonlocal Boundary Value Problem ◽

Weak Nonlinearity ◽

Solvability Conditions ◽

Differential Operator Equation

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Nonlocal boundary value problem for a differential-operator equation with nonlinear right part in a complex domain (in Ukrainian)

Matematychni Studii ◽

10.15330/ms.45.2.170-181 ◽

2015 ◽

Vol 45 (2) ◽

Author(s):

V. Ilkiv ◽

N. Strap

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Operator Equation ◽

Boundary Value ◽

Nonlocal Boundary ◽

Complex Domain ◽

Nonlocal Boundary Value Problem ◽

Differential Operator Equation

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SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR A SECOND ORDER ELLIPTIC DIFFERENTIAL-OPERATOR EQUATION WITH A COMPLEX PARAMETER

Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan ◽

10.30546/2409-4994.47.2.309 ◽

2021 ◽

pp. 309-326

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Operator Equation ◽

Boundary Value ◽

Second Order ◽

Complex Parameter ◽

Elliptic Differential Operator ◽

Differential Operator Equation

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Solvability of the boundary-value problem for the second-order elliptic differential-operator equation with spectral parameter in the equation and boundary conditions

Ukrainian Mathematical Journal ◽

10.1007/s11253-010-0329-3 ◽

2010 ◽

Vol 62 (1) ◽

pp. 1-14 ◽

Author(s):

B. A. Aliev

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Boundary Conditions ◽

Operator Equation ◽

Spectral Parameter ◽

Boundary Value ◽

Second Order ◽

Elliptic Differential Operator ◽

Differential Operator Equation

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Lower and upper functions and generalized solutions of a boundary value problem for a differential-operator equation

Differential Equations ◽

10.1134/s001226611503012x ◽

2015 ◽

Vol 51 (3) ◽

pp. 417-420 ◽

Author(s):

A. Ya. Lepin ◽

L. A. Lepin

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Operator Equation ◽

Boundary Value ◽

Generalized Solutions ◽

Lower And Upper Functions ◽

Differential Operator Equation

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Asymptotic Behavior of Eigenvalues of a Boundary Value Problem for a Second-Order Elliptic Differential–Operator Equation with Spectral Parameter in the Equation and a Boundary Condition

Differential Equations ◽

10.1134/s0012266120020056 ◽

2020 ◽

Vol 56 (2) ◽

pp. 190-198

Author(s):

B. A. Aliev ◽

V. Z. Kerimov

Keyword(s):

Boundary Condition ◽

Asymptotic Behavior ◽

Differential Operator ◽

Boundary Value Problem ◽

Operator Equation ◽

Spectral Parameter ◽

Boundary Value ◽

Second Order ◽

Elliptic Differential Operator ◽

Differential Operator Equation

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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

Ukrainian Mathematical Journal ◽

10.1007/s11253-015-1108-y ◽

2015 ◽

Vol 67 (5) ◽

pp. 690-710 ◽

Author(s):

V. S. Il’kiv ◽

N. I. Strap

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Boundary Value ◽

Nonlocal Boundary ◽

Nonlocal Boundary Value Problem ◽

Operator Equations

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Asymptotic Behavior of Eigenvalues of a Boundary Value Problem for a Second-Order Elliptic Differential-Operator Equation with Spectral Parameter Quadratically Occurring in the Boundary Condition

Differential Equations ◽

10.1134/s0012266118090124 ◽

2018 ◽

Vol 54 (9) ◽

pp. 1256-1260 ◽

Author(s):

B. A. Aliev

Keyword(s):

Boundary Condition ◽

Asymptotic Behavior ◽

Differential Operator ◽

Boundary Value Problem ◽

Operator Equation ◽

Spectral Parameter ◽

Boundary Value ◽

Second Order ◽

Elliptic Differential Operator ◽

Differential Operator Equation

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On eigenvalues of a boundary value problem for a second order elliptic differential-operator equation

Proceedings of the Institute of Mathematics and Mechanics,National Academy of Sciences of Azerbaijan ◽

10.29228/proc.5 ◽

2019 ◽

Vol 45 (45) ◽

pp. 213-221

Author(s):

Bahram A. Aliev

Keyword(s):

Differential Operator ◽

Boundary Value Problem ◽

Operator Equation ◽

Boundary Value ◽

Second Order ◽

Elliptic Differential Operator ◽

Differential Operator Equation

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