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-differential equation with variable coefficients, by reducing the equation to a Volterra integral equation.

Bibliographic Details
Main Authors: Bozor Islomov, Umida I. Baltaeva
Format: Article
Language:English
Published: Texas State University 2015-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/221/abstr.html
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spelling doaj-7b109dc727424ffb9e36e3224d21acfc2020-11-24T23:04:59ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-08-012015221,110Boundary-value problems for a third-order loaded parabolic-hyperbolic equation with variable coefficientsBozor Islomov0Umida I. Baltaeva1 National Univ. of Uzbekistan, Tashkent, Uzbekistan Univ. of Gottingen, Germany 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.http://ejde.math.txstate.edu/Volumes/2015/221/abstr.htmlEquations of mixed typeloaded equationgluing conditionboundary-value problemintegral equation
collection DOAJ
language English
format Article
sources DOAJ
author Bozor Islomov
Umida I. Baltaeva
spellingShingle Bozor Islomov
Umida I. Baltaeva
Boundary-value problems for a third-order loaded parabolic-hyperbolic equation with variable coefficients
Electronic Journal of Differential Equations
Equations of mixed type
loaded equation
gluing condition
boundary-value problem
integral equation
author_facet Bozor Islomov
Umida I. Baltaeva
author_sort Bozor Islomov
title Boundary-value problems for a third-order loaded parabolic-hyperbolic equation with variable coefficients
title_short Boundary-value problems for a third-order loaded parabolic-hyperbolic equation with variable coefficients
title_full Boundary-value problems for a third-order loaded parabolic-hyperbolic equation with variable coefficients
title_fullStr Boundary-value problems for a third-order loaded parabolic-hyperbolic equation with variable coefficients
title_full_unstemmed Boundary-value problems for a third-order loaded parabolic-hyperbolic equation with variable coefficients
title_sort boundary-value problems for a third-order loaded parabolic-hyperbolic equation with variable coefficients
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2015-08-01
description 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.
topic Equations of mixed type
loaded equation
gluing condition
boundary-value problem
integral equation
url http://ejde.math.txstate.edu/Volumes/2015/221/abstr.html
work_keys_str_mv AT bozorislomov boundaryvalueproblemsforathirdorderloadedparabolichyperbolicequationwithvariablecoefficients
AT umidaibaltaeva boundaryvalueproblemsforathirdorderloadedparabolichyperbolicequationwithvariablecoefficients
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