Boundary-value problems for the third-order loaded equation with noncharacteristic type-change boundaries

Umida Baltaeva; Praveen Agarwal

doi:10.1002/mma.4817

Boundary-value problems for the third-order loaded equation with noncharacteristic type-change boundaries

Umida Baltaeva
, Praveen Agarwal

National University of Uzbekistan named after Mirzo Ulugbek
International Center for Basic and Applied Sciences
International College of Engineering

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

The purpose of this paper is to establish unique solvability for a certain generalized boundary-value problem for a loaded third-order integro-differential equation with variable coefficients. Moreover, the method of integral equations is applied to obtain an equation related to the Riemann-Liouville operators.

Original language	English
Pages (from-to)	3307-3315
Number of pages	9
Journal	Mathematical Methods in the Applied Sciences
Volume	41
Issue number	9
DOIs	https://doi.org/10.1002/mma.4817
State	Published - Jun 2018
Externally published	Yes

Keywords

integro-differential operator of Riemann-Liouville
loaded equation
mixed-type equation

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10.1002/mma.4817

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title = "Boundary-value problems for the third-order loaded equation with noncharacteristic type-change boundaries",

abstract = "The purpose of this paper is to establish unique solvability for a certain generalized boundary-value problem for a loaded third-order integro-differential equation with variable coefficients. Moreover, the method of integral equations is applied to obtain an equation related to the Riemann-Liouville operators.",

keywords = "integro-differential operator of Riemann-Liouville, loaded equation, mixed-type equation",

author = "Umida Baltaeva and Praveen Agarwal",

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year = "2018",

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AU - Baltaeva, Umida

AU - Agarwal, Praveen

PY - 2018/6

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N2 - The purpose of this paper is to establish unique solvability for a certain generalized boundary-value problem for a loaded third-order integro-differential equation with variable coefficients. Moreover, the method of integral equations is applied to obtain an equation related to the Riemann-Liouville operators.

AB - The purpose of this paper is to establish unique solvability for a certain generalized boundary-value problem for a loaded third-order integro-differential equation with variable coefficients. Moreover, the method of integral equations is applied to obtain an equation related to the Riemann-Liouville operators.

KW - integro-differential operator of Riemann-Liouville

KW - loaded equation

KW - mixed-type equation

UR - https://www.scopus.com/pages/publications/85043334477

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DO - 10.1002/mma.4817

M3 - Article

AN - SCOPUS:85043334477

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SP - 3307

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JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 9

ER -

Boundary-value problems for the third-order loaded equation with noncharacteristic type-change boundaries

Abstract

Keywords

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