A Multi-Point Initial Problem for a Non-Classical System of a Partial Differential Equations

Assanova, A. T.; Dzhobulaeva, Zh. K.; Imanchiyev, A. E.

doi:10.1134/s1995080220060049

Cited by 6 publications

(2 citation statements)

References 19 publications

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“…A lot of publications of studying on differential and integro differential equations with impulsive effects, describing many natural and technical processes, are appearing (see, for examples, [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Two-point and multi-point boundary value problems for the differential and integro-differential equations are studied by many authors (see, for example [21][22][23][24]. Second-order differential equations with nonlocal boundary value conditions and impulsive effects are almost not studied.…”

Section: нелинейная двухточечная краевая задача для импульсной систем...mentioning

confidence: 99%

Nonlinear Two-Point Boundary Value Problem for a Second Order Impulsive System of Integro-Differential Equations With Mixed Maxima

Fayziyev

2023

ВОГУМФТ

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A two-point nonlinear boundary value problem for a second order system of ordinary integro-differential equations with impulsive effects and mixed maxima is investigated. By applying some transformations is obtained a system of nonlinear functional integral equations. The existence and uniqueness of the solution of the nonperiodic two-point boundary value problem are reduced to the one valued solvability of the system of nonlinear functional integral equations in Banach space . The method of successive approximations in combination with the method of compressing mapping is used in the proof of one-valued solvability of nonlinear functional integral equations.

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Section: нелинейная двухточечная краевая задача для импульсной систем...mentioning

confidence: 99%

Nonlinear Two-Point Boundary Value Problem for a Second Order Impulsive System of Integro-Differential Equations With Mixed Maxima

Fayziyev

2023

ВОГУМФТ

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“…Two-point and multi-point boundary value problems for the differential and integro-differential equations are studied by many authors (see, for example [26][27][28][29]). However, second-order differential equations with nonlocal boundary value conditions and impulsive effects are almost not studied.…”

Section: Introductionmentioning

confidence: 99%

Inverse problem for a second order impulsive system of integro-differential equations with two redefinition vectors and mixed maxima

Yuldashev¹,

Fayziyev²

2023

Nanosystems: Phys. Chem. Math.

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An inverse problem for a second order system of ordinary integro-differential equations with impulsive effects, mixed maxima and two redefinition vectors is investigated. A system of nonlinear functional integral equations is obtained by applying some transformations. The existence and uniqueness of the solution of the nonlinear inverse problem is reduced to the unique solvability of the system of nonlinear functional integral equations in Banach space P C ([0, T ], R n ). The method of successive approximations in combination with the method of compressing mapping is used in the proof of unique solvability of the nonlinear functional integral equations. Then values of redefinition vectors are founded. KEYWORDS inverse problem, second order system, impulsive integro-differential equations, two-point nonlinear boundary value conditions, two redefinition vectors, mixed maxima, existence and uniqueness of solution. FOR CITATION Yuldashev T.K., Fayziyev A.K. Inverse problem for a second order impulsive system of integrodifferential equations with two redefinition vectors and mixed maxima.

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Multiperiodic Bounded Oscillations in Quasilinear Finite-Hereditary Integro-Differential Systems Convection-Diffusion Type

Aitenova

Sartabanov

Abdikalikova

2022

Lobachevskii J Math

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A Multi-Point Initial Problem for a Non-Classical System of a Partial Differential Equations

Cited by 6 publications

References 19 publications

Nonlinear Two-Point Boundary Value Problem for a Second Order Impulsive System of Integro-Differential Equations With Mixed Maxima

Nonlinear Two-Point Boundary Value Problem for a Second Order Impulsive System of Integro-Differential Equations With Mixed Maxima

Inverse problem for a second order impulsive system of integro-differential equations with two redefinition vectors and mixed maxima

Multiperiodic Bounded Oscillations in Quasilinear Finite-Hereditary Integro-Differential Systems Convection-Diffusion Type

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