Cover Image

Some Results Research the Integral Method Solving Linear Differential Equations

The article considers the application of the integrated method for solving linear differential equations. An important prerequisite for using this approach is the possibility of reducing different types of ordinary differential equations to equivalent Volterra integral equations, while the inverse t...

Full description

Saved in:

Bibliographic Details
Date:	2020
Main Authors:	Верлань, Анатолій, Понеділок, Вадим
Format:	Article
Language:	Ukrainian
Published:	Кам'янець-Подільський національний університет імені Івана Огієнка 2020
Online Access:	http://mcm-math.kpnu.edu.ua/article/view/224827
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Mathematical and computer modelling. Series: Physical and mathematical sciences

Institution

Mathematical and computer modelling. Series: Physical and mathematical sciences

Similar Items

Some Results Research the Integral Method Solving Linear Differential Equations
by: A. F. Verlan, et al.
Published: (2020)

An Integral Method for Solving Differential Equations in the Modeling of Objects with Distributed Parameters
by: Іванюк, Віталій Анатолійович, et al.
Published: (2018)

An Integral Method for Solving Differential Equations in the Modeling of Objects with Distributed Parameters
by: V. A. Ivaniuk, et al.
Published: (2018)

Method of Solving a Singular Dynamic Problem in the Integral Equation Form
by: Верлань, Анатолий Федорович, et al.
Published: (2018)

Method of Construction of Specialized Algorithms for Solving Differential Equations
by: Verlan, Andriy
Published: (2017)

Method of Construction of Specialized Algorithms for Solving Differential Equations
by: A. Verlan
Published: (2017)

Method of Construction of Specialized Algorithms for Solving Differential Equations
by: Verlan, A.
Published: (2017)

On the Applications of a New Technique to Solve Linear Differential Equations, with and without Source
by: Gurappa, N., et al.
Published: (2007)

Methods for Solving One Type of Linear Integro-Functional Equation
by: Геселева, Катерина
Published: (2023)

Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A.M.
Published: (2011)

Some problems of the linear theory of systems of ordinary differential equations
by: Samoilenko, A. M., et al.
Published: (2011)

Parametric integro-interpolation method of solving singular integral equations
by: Evtushenko, A.A., et al.
Published: (1992)

On Some Problems of the Asymptotic Theory of Linear Differential Equations of the nth Order
by: Evtukhov, V. M., et al.
Published: (2002)

Integral Form of Bounded Solutions of Some Systems of Differential Equations
by: Kulik, V. L., et al.
Published: (2005)

One method for the investigation of linear functional-differential equations
by: V. B. Cherepennikov, et al.
Published: (2013)

One method for the investigation of linear functional-differential equations
by: Vetrova, E. V., et al.
Published: (2013)

Integration of linear differential equations with a devicating argument by means of series
by: Martynyuk, D. I., et al.
Published: (1966)

Hypercomplex method for solving linear PDEs
by: V. S. Shpakivskyi
Published: (2018)

Experiments with Polyak&#039;s subgradient methods for solving systems of linear equations
by: V. O. Stovba, et al.
Published: (2019)

A fitted approximate method for solving singularly perturbed Volterra–Fredholm integro-differential equations with an integral boundary condition
by: B. Gunes, et al.
Published: (2024)

A fitted approximate method for solving singularly perturbed Volterra–Fredholm integro-differential equations with an integral boundary condition
by: Gunes, Baransel, et al.
Published: (2024)

Чисельна реалізація інтегральних динамічних моделей на основі методу вироджених ядер
by: Верлань, Дмитро Анатолійович, et al.
Published: (2019)

Some algorithms for solving integral equations Volterra I kind of problem in the recovery signals
by: O. O. Sytnyk
Published: (2016)

Method of Solving a Singular Dynamic Problem in the Integral Equation Form
by: A. F. Verlan, et al.
Published: (2018)

Iterative method for solving a problem with constraints for singular integral equations
by: O. B. Polishchuk
Published: (2013)

Some uniqueness result on controllability for functional semilinear differential equations in Fréchet spaces
by: Arara, A., et al.
Published: (2003)

Reduction of some systems of ordinary linear differential equations to a simplier form
by: Smilyansky, V. R., et al.
Published: (1971)

On speed of convergence of some projection methods for linear operator equations
by: Luchkа, A. Yu., et al.
Published: (1971)

Differential-symbol method of solving the Dirichlet problem in an infinite strip for a system of differential equations with shifts
by: Z. M. Nytrebych
Published: (2022)

The differential-symbol method of solving the problem two-point in time for a nonhomogeneous partial differential equation
by: Z. M. Nytrebych, et al.
Published: (2017)

The differential-symbol method of solving the two-point problem with respect to time for a partial differential equation
by: Z. M. Nytrebych, et al.
Published: (2016)

Algorithm for solving systems of linear equations in field Fpk
by: S. L. Kryvyj, et al.
Published: (2019)

Evaluation of the growth of solutions of systems of linear differential equations of the $n$th order
by: Mokhon’ko, A., et al.
Published: (2025)

The Clocation-iterative Method of Development of Linear Integrated Functional Equations
by: K. H. Heseleva
Published: (2017)

Construction of some solutions of the Couchy generalized problem for ordinary non-linear differential equations
by: Pisarenko, V. G., et al.
Published: (1971)

Some new conditions for the solvability of the cauchy problem for systems of linear functional-differential equations
by: Dil'na, N. Z., et al.
Published: (2004)

New general solutions of ordinary differential equations and the methods of solving the boundary-value problems
by: D. S. Dzhumabaev
Published: (2019)

Boundary effect in error estimate of the grid method for solving a fractional differential equation
by: V. L. Makarov, et al.
Published: (2019)

New general solutions of ordinary differential equations and the methods of solving the boundary-value problems
by: Dzhumabaev, D. S., et al.
Published: (2019)

The differential-symbol method of solving the problem with local two-point in time conditions for a partial differential equation
by: Z. M. Nytrebych
Published: (2020)