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Papers by Umida Baltaeva

Research paper thumbnail of Cauchy problem for a loaded hyperbolic equation with the Bessel operator

This work is devoted to the study of the Cauchy problem for a multidimensional loaded equation wi... more This work is devoted to the study of the Cauchy problem for a multidimensional loaded equation with the Bessel operator. When studying problems for loaded differential equations, the properties of Erdely-Kober operators are used as transformation operators with respect to a relation. We obtain an explicit form of the solution to the Cauchy problem for a loaded multidimensional differential equation. At the end of the work we will show several examples on graphs.

Research paper thumbnail of Ways of thinking 3D geometry: exploratory case study in junior high school students

Polyhedron International Journal in Mathematics Education

Each student has their own characteristics and way of doing 3D geometric thinking. The way of thi... more Each student has their own characteristics and way of doing 3D geometric thinking. The way of thinking that students do influences the resulting understanding of the concept of 3D geometry. Therefore, this study aims to investigate students' geometric thinking based on the level of achievement of students in completing the 3D geometric thinking ability test (3D GTA). This study uses an exploratory case study design. The participants who voluntarily participated were 33 junior high school students (14 boys, 19 girls) in one of the schools in Indramayu Regency, Indonesia. Data obtained from the process of observation, tests, interviews, and documentation were analyzed qualitatively using Atlas. ti 8 software. The findings revealed that students with low 3D GTA achievements experienced difficulties in representing and calculating the surface area and volume of 3D shapes. In addition, students with moderate 3D GTA achievements experienced difficulties in representing 3D shapes but w...

Research paper thumbnail of Boundary-Value Problem for a Loaded Mixed-Type Equation with a Characteristic Line of Type Change

Journal of Mathematical Sciences

We prove the unique solvability of the boundary-value problem for a loaded third-order integrodif... more We prove the unique solvability of the boundary-value problem for a loaded third-order integrodifferential equation with parabolic-hyperbolic operator. By the method of integral equations, we prove the existence and uniqueness of solutions of boundary-value problems.

Research paper thumbnail of Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann–Liouville fractional operator

Journal of Computational and Applied Mathematics

Research paper thumbnail of Краевые задачи с обобщенными условиями склеивания для нагруженного дифференциального уравнения с параболическо-гиперболическим оператором

Research paper thumbnail of On some boundary value problems for a third order loaded integro-differential equation with real parameters

Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012

Research paper thumbnail of The loaded parabolic-hyperbolic equation and its relation to non-local problems

Nanosystems: Physics, Chemistry, Mathematics, 2017

In this present paper, unique solvability is proved for the boundary value problems for the loade... more In this present paper, unique solvability is proved for the boundary value problems for the loaded differential equations associated with non-local boundary value problems, for the classical partial differential equations.

Research paper thumbnail of Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative

Nanosystems: Physics, Chemistry, Mathematics, 2021

In this paper, we prove the unique solvability of an analogue problem Darboux for a loaded integr... more In this paper, we prove the unique solvability of an analogue problem Darboux for a loaded integro-differential equation with Caputo operator by method of integral equations. The problem is equivalently reduced to a system of integral equations, which is unconditionally and uniquely solvable.

Research paper thumbnail of Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type

Mathematical Methods in the Applied Sciences

Research paper thumbnail of Cauchy problem for a parabolic–hyperbolic equation with non‐characteristic line of type changing

Mathematical Methods in the Applied Sciences

Research paper thumbnail of Boundary Value Problems for the Classical and Mixed Integrodifferential Equations with Riemann-Liouville Operators

International Journal of Partial Differential Equations, 2013

By method of integral equations, unique solvability is proved for the solution of boundary value ... more By method of integral equations, unique solvability is proved for the solution of boundary value problems of loaded third-order integrodifferential equations with Riemann-Liouville operators.

Research paper thumbnail of On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations

Differential Equations, 2006

We study the unique solvability of boundary-value problems with normal derivatives and continuous... more We study the unique solvability of boundary-value problems with normal derivatives and continuous and generalized gluing conditions for a loaded equation of the third order.

Research paper thumbnail of On the Solvability of Boundary-Value Problems with Continuous and Generalized Gluing Conditions for the Equation of Mixed Type with Loaded Term

Ukrainian Mathematical Journal, 2018

We study the unique solvability of boundary-value problems with normal derivatives and continuous... more We study the unique solvability of boundary-value problems with normal derivatives and continuous and generalized gluing conditions for a loaded equation of the third order.

Research paper thumbnail of Cauchy problem for a high‐order loaded integro‐differential equation

Mathematical Methods in the Applied Sciences

Research paper thumbnail of Boundary-Value Problems for a Third-Order Loaded Parabolic-Hyperbolic Equation with Variable Coefficients

We prove the unique solvability of a boundary-value problems for a third-order loaded integro-dif... more We prove the unique solvability of a boundary-value problems for a third-order loaded integro-differential equation with variable coefficients, by reducing the equation to a Volterra integral equation.

Research paper thumbnail of Solvability of the Boundary-Value Problem for a Third-Order Linear Loaded Differential Equation with the Caputo Fractional Derivative

Special Functions and Analysis of Differential Equations

Research paper thumbnail of Solvability of the boundary-value problem for a linear loaded integro-differential equation in an infinite three-dimensional domain

Chaos, Solitons & Fractals

Research paper thumbnail of Boundary-value problems for the third-order loaded equation with noncharacteristic type-change boundaries

Mathematical Methods in the Applied Sciences

Research paper thumbnail of Analog of the Gellerstedt problem for a loaded equation of the third order

Mathematical Methods in the Applied Sciences

Research paper thumbnail of Solvability of the analogs of the problem Tricomi for the mixed type loaded equations with parabolic-hyperbolic operators

Boundary Value Problems, 2014

Research paper thumbnail of Cauchy problem for a loaded hyperbolic equation with the Bessel operator

This work is devoted to the study of the Cauchy problem for a multidimensional loaded equation wi... more This work is devoted to the study of the Cauchy problem for a multidimensional loaded equation with the Bessel operator. When studying problems for loaded differential equations, the properties of Erdely-Kober operators are used as transformation operators with respect to a relation. We obtain an explicit form of the solution to the Cauchy problem for a loaded multidimensional differential equation. At the end of the work we will show several examples on graphs.

Research paper thumbnail of Ways of thinking 3D geometry: exploratory case study in junior high school students

Polyhedron International Journal in Mathematics Education

Each student has their own characteristics and way of doing 3D geometric thinking. The way of thi... more Each student has their own characteristics and way of doing 3D geometric thinking. The way of thinking that students do influences the resulting understanding of the concept of 3D geometry. Therefore, this study aims to investigate students' geometric thinking based on the level of achievement of students in completing the 3D geometric thinking ability test (3D GTA). This study uses an exploratory case study design. The participants who voluntarily participated were 33 junior high school students (14 boys, 19 girls) in one of the schools in Indramayu Regency, Indonesia. Data obtained from the process of observation, tests, interviews, and documentation were analyzed qualitatively using Atlas. ti 8 software. The findings revealed that students with low 3D GTA achievements experienced difficulties in representing and calculating the surface area and volume of 3D shapes. In addition, students with moderate 3D GTA achievements experienced difficulties in representing 3D shapes but w...

Research paper thumbnail of Boundary-Value Problem for a Loaded Mixed-Type Equation with a Characteristic Line of Type Change

Journal of Mathematical Sciences

We prove the unique solvability of the boundary-value problem for a loaded third-order integrodif... more We prove the unique solvability of the boundary-value problem for a loaded third-order integrodifferential equation with parabolic-hyperbolic operator. By the method of integral equations, we prove the existence and uniqueness of solutions of boundary-value problems.

Research paper thumbnail of Solvability of a mixed problem with the integral gluing condition for a loaded equation with the Riemann–Liouville fractional operator

Journal of Computational and Applied Mathematics

Research paper thumbnail of Краевые задачи с обобщенными условиями склеивания для нагруженного дифференциального уравнения с параболическо-гиперболическим оператором

Research paper thumbnail of On some boundary value problems for a third order loaded integro-differential equation with real parameters

Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2012

Research paper thumbnail of The loaded parabolic-hyperbolic equation and its relation to non-local problems

Nanosystems: Physics, Chemistry, Mathematics, 2017

In this present paper, unique solvability is proved for the boundary value problems for the loade... more In this present paper, unique solvability is proved for the boundary value problems for the loaded differential equations associated with non-local boundary value problems, for the classical partial differential equations.

Research paper thumbnail of Analog of the Darboux problem for a loaded integro-differential equation involving the Caputo fractional derivative

Nanosystems: Physics, Chemistry, Mathematics, 2021

In this paper, we prove the unique solvability of an analogue problem Darboux for a loaded integr... more In this paper, we prove the unique solvability of an analogue problem Darboux for a loaded integro-differential equation with Caputo operator by method of integral equations. The problem is equivalently reduced to a system of integral equations, which is unconditionally and uniquely solvable.

Research paper thumbnail of Extension of the Tricomi problem for a loaded parabolic–hyperbolic equation with a characteristic line of change of type

Mathematical Methods in the Applied Sciences

Research paper thumbnail of Cauchy problem for a parabolic–hyperbolic equation with non‐characteristic line of type changing

Mathematical Methods in the Applied Sciences

Research paper thumbnail of Boundary Value Problems for the Classical and Mixed Integrodifferential Equations with Riemann-Liouville Operators

International Journal of Partial Differential Equations, 2013

By method of integral equations, unique solvability is proved for the solution of boundary value ... more By method of integral equations, unique solvability is proved for the solution of boundary value problems of loaded third-order integrodifferential equations with Riemann-Liouville operators.

Research paper thumbnail of On the solvability of boundary value problems with a nonlocal boundary condition of integral form for multidimensional hyperbolic equations

Differential Equations, 2006

We study the unique solvability of boundary-value problems with normal derivatives and continuous... more We study the unique solvability of boundary-value problems with normal derivatives and continuous and generalized gluing conditions for a loaded equation of the third order.

Research paper thumbnail of On the Solvability of Boundary-Value Problems with Continuous and Generalized Gluing Conditions for the Equation of Mixed Type with Loaded Term

Ukrainian Mathematical Journal, 2018

We study the unique solvability of boundary-value problems with normal derivatives and continuous... more We study the unique solvability of boundary-value problems with normal derivatives and continuous and generalized gluing conditions for a loaded equation of the third order.

Research paper thumbnail of Cauchy problem for a high‐order loaded integro‐differential equation

Mathematical Methods in the Applied Sciences

Research paper thumbnail of Boundary-Value Problems for a Third-Order Loaded Parabolic-Hyperbolic Equation with Variable Coefficients

We prove the unique solvability of a boundary-value problems for a third-order loaded integro-dif... more We prove the unique solvability of a boundary-value problems for a third-order loaded integro-differential equation with variable coefficients, by reducing the equation to a Volterra integral equation.

Research paper thumbnail of Solvability of the Boundary-Value Problem for a Third-Order Linear Loaded Differential Equation with the Caputo Fractional Derivative

Special Functions and Analysis of Differential Equations

Research paper thumbnail of Solvability of the boundary-value problem for a linear loaded integro-differential equation in an infinite three-dimensional domain

Chaos, Solitons & Fractals

Research paper thumbnail of Boundary-value problems for the third-order loaded equation with noncharacteristic type-change boundaries

Mathematical Methods in the Applied Sciences

Research paper thumbnail of Analog of the Gellerstedt problem for a loaded equation of the third order

Mathematical Methods in the Applied Sciences

Research paper thumbnail of Solvability of the analogs of the problem Tricomi for the mixed type loaded equations with parabolic-hyperbolic operators

Boundary Value Problems, 2014

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