A nonlocal problem for fourth order hyperbolic equations with multiple characteristic

A nonlocal problem for fourth order hyperbolic equations with multiple characteristic

In this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general solution of the Goursat problem. We also provid...

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Bibliographic Details
Main Author: Bidzina Midodashvili
Format: Article
Language:English
Published: Texas State University 2002-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Goursat problem
Riemann function
Online Access:http://ejde.math.txstate.edu/Volumes/2002/85/abstr.html
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spelling doaj-ec13f92ae1fa4d8299cd06e55028518c2020-11-25T02:34:45ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912002-10-0120028517A nonlocal problem for fourth order hyperbolic equations with multiple characteristicBidzina MidodashviliIn this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general solution of the Goursat problem. We also provide sufficient conditions for the solvability of a nonlocal problem. Submitted July 16, 2002. Published October 4, 2002. Math Subject Classifications: 35L35 Key Words: Goursat problem; Riemann function http://ejde.math.txstate.edu/Volumes/2002/85/abstr.htmlGoursat problemRiemann function
collection DOAJ
language English
format Article
sources DOAJ
author Bidzina Midodashvili
spellingShingle Bidzina Midodashvili
A nonlocal problem for fourth order hyperbolic equations with multiple characteristic
Electronic Journal of Differential Equations
Goursat problem
Riemann function
author_facet Bidzina Midodashvili
author_sort Bidzina Midodashvili
title A nonlocal problem for fourth order hyperbolic equations with multiple characteristic
title_short A nonlocal problem for fourth order hyperbolic equations with multiple characteristic
title_full A nonlocal problem for fourth order hyperbolic equations with multiple characteristic
title_fullStr A nonlocal problem for fourth order hyperbolic equations with multiple characteristic
title_full_unstemmed A nonlocal problem for fourth order hyperbolic equations with multiple characteristic
title_sort nonlocal problem for fourth order hyperbolic equations with multiple characteristic
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2002-10-01
description In this paper, we study fourth order differential equations with multiple characteristics and dominated low terms. We prove the existence and uniqueness of a Riemann function for this equation, and then provide an integral representation of the general solution of the Goursat problem. We also provide sufficient conditions for the solvability of a nonlocal problem. Submitted July 16, 2002. Published October 4, 2002. Math Subject Classifications: 35L35 Key Words: Goursat problem; Riemann function
topic Goursat problem
Riemann function
url http://ejde.math.txstate.edu/Volumes/2002/85/abstr.html
work_keys_str_mv AT bidzinamidodashvili anonlocalproblemforfourthorderhyperbolicequationswithmultiplecharacteristic
AT bidzinamidodashvili nonlocalproblemforfourthorderhyperbolicequationswithmultiplecharacteristic
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