Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side

Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side

Theorems on the unique solvability and nonnegativity of solutions to the characteristic initial value problem u1,1(t,x)=l0(u)(t,x)+l1(u1,0)(t,x)+l2(u0,1)(t,x)+q(t,x),   u(t,c)=α(t) for t∈[a,b],  u(a,x)=β(x)  for  x∈[c,d] given on the rectangle [a,b]×[c,d] are established, whe...

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Main Authors: Alexander Domoshnitsky, Alexander Lomtatidze, Abraham Maghakyan, Jiří Šremr
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/242965
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spelling doaj-14344d4a765f436a92c09e394a7b8dfe2020-11-25T00:04:03ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/242965242965Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand SideAlexander Domoshnitsky0Alexander Lomtatidze1Abraham Maghakyan2Jiří Šremr3Department of Mathematics and Computer Science, Ariel University Center of Samaria, 40700 Ariel, IsraelInstitute of Mathematics, Academy of Sciences of the Czech Republic, Branch in Brno, Žižkova 22, 616 62 Brno, Czech RepublicDepartment of Mathematics and Computer Science, Ariel University Center of Samaria, 40700 Ariel, IsraelInstitute of Mathematics, Academy of Sciences of the Czech Republic, Branch in Brno, Žižkova 22, 616 62 Brno, Czech RepublicTheorems on the unique solvability and nonnegativity of solutions to the characteristic initial value problem u1,1(t,x)=l0(u)(t,x)+l1(u1,0)(t,x)+l2(u0,1)(t,x)+q(t,x),   u(t,c)=α(t) for t∈[a,b],  u(a,x)=β(x)  for  x∈[c,d] given on the rectangle [a,b]×[c,d] are established, where the linear operators l0, l1, l2 map suitable function spaces into the space of essentially bounded functions. General results are applied to the hyperbolic equations with essentially bounded coefficients and argument deviations.http://dx.doi.org/10.1155/2011/242965
collection DOAJ
language English
format Article
sources DOAJ
author Alexander Domoshnitsky
Alexander Lomtatidze
Abraham Maghakyan
Jiří Šremr
spellingShingle Alexander Domoshnitsky
Alexander Lomtatidze
Abraham Maghakyan
Jiří Šremr
Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side
Abstract and Applied Analysis
author_facet Alexander Domoshnitsky
Alexander Lomtatidze
Abraham Maghakyan
Jiří Šremr
author_sort Alexander Domoshnitsky
title Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side
title_short Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side
title_full Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side
title_fullStr Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side
title_full_unstemmed Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side
title_sort linear hyperbolic functional-differential equations with essentially bounded right-hand side
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2011-01-01
description Theorems on the unique solvability and nonnegativity of solutions to the characteristic initial value problem u1,1(t,x)=l0(u)(t,x)+l1(u1,0)(t,x)+l2(u0,1)(t,x)+q(t,x),   u(t,c)=α(t) for t∈[a,b],  u(a,x)=β(x)  for  x∈[c,d] given on the rectangle [a,b]×[c,d] are established, where the linear operators l0, l1, l2 map suitable function spaces into the space of essentially bounded functions. General results are applied to the hyperbolic equations with essentially bounded coefficients and argument deviations.
url http://dx.doi.org/10.1155/2011/242965
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AT alexanderlomtatidze linearhyperbolicfunctionaldifferentialequationswithessentiallyboundedrighthandside
AT abrahammaghakyan linearhyperbolicfunctionaldifferentialequationswithessentiallyboundedrighthandside
AT jirisremr linearhyperbolicfunctionaldifferentialequationswithessentiallyboundedrighthandside
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