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On a Nonlocal Problem with Integral Conditions for the System of Hyperbolic Equations

Differential Equations, 2018
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A Nonlocal Problem with Integral Conditions for the Quasilinear Hyperbolic Equation

Mathematical Notes, 2001
This paper is devoted to a quasilinear equation of hyperbolic type with integral conditions. Indeeds the author considers the equation \[ u_{xy}+ (Au)_x+ (Bu)_y+ Cu= f(x, y, u),\tag{1} \] whose coefficients \(A(x,y)\), \(B(x,y)\) and \(C(x,y)\) are bounded and have bounded derivatives of first-order and the coefficient \(C(x,y)\) has also a bounded ...
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Solvability of Nonlocal Problem with Integral Condition for Third Order Equation

Journal of Mathematical Sciences
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Zikirov, O., Sagdullayeva, M.
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A Time-Nonlocal Inverse Problem for the Beam Vibration Equation with an Integral Condition

Differential Equations, 2023
We study the direct problem for transverse vibrations of a homogeneous beam of finite length with time-nonlocal conditions and obtain necessary and sufficient conditions for the existence of its solution. For the direct problem, the inverse problem of determining the time-dependent coefficients of the lower derivative and the right-hand side in the ...
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ON A CERTAIN PROBLEM FOR A HYPERBOLIC EQUATION WITH A NONLOCAL-INTEGRAL CONDITION

Прикладная физика и математика, 2022
Актуальность заявленной тематики данной научно-исследовательской работы определяется важностью решения задач с нелокальными интегральными условиями и необходимостью использования гиперболического уравнения для качественного разрешения задач подобного рода.
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Inverse nodal problems for the Sturm–Liouville operator with nonlocal integral conditions

Journal of Inverse and Ill-posed Problems, 2017
Abstract In this work, we consider inverse nodal problems of the Sturm–Liouville equation with nonlocal integral conditions at two end-points. We prove that a dense subset of nodal points uniquely determine the potential function of the Sturm–Liouville equation up to a constant.
Hu, Yi-Teng   +2 more
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Nonlocal Problem with Integral Conditions for a High-Order Hyperbolic Equation

Ukrainian Mathematical Journal, 2017
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Integral solution of a conformable fractional integro-differential equation with nonlocal condition

MATHEMATICA, 2022
This paper deals with the existence and uniqueness of the integral solution of a nondense integro-differential equation with nonlocal condition in the frame of conformable fractional derivative. The main results are obtained by using some fixed point theorems combined with an integrated semigroup approach.
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TheL 2 solvability of a nonlocal problem with integral conditions for a hyperbolic equation

Differential Equations, 2000
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On Sequential Fractional Integro-Differential Equations with Nonlocal Integral Boundary Conditions

Bulletin of the Malaysian Mathematical Sciences Society, 2016
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Ahmad, Bashir   +3 more
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