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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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/242965 |
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| author | Alexander Domoshnitsky Alexander Lomtatidze Abraham Maghakyan Jiří Šremr |
| author_facet | Alexander Domoshnitsky Alexander Lomtatidze Abraham Maghakyan Jiří Šremr |
| author_sort | Alexander Domoshnitsky |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-14344d4a765f436a92c09e394a7b8dfe |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-14344d4a765f436a92c09e394a7b8dfe2025-02-03T01:20:52ZengWileyAbstract 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 |
| spellingShingle | Alexander Domoshnitsky Alexander Lomtatidze Abraham Maghakyan Jiří Šremr Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side Abstract and Applied Analysis |
| title | 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_short | Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side |
| title_sort | linear hyperbolic functional differential equations with essentially bounded right hand side |
| url | http://dx.doi.org/10.1155/2011/242965 |
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