Linear Hyperbolic Functional-Differential Equations with Essentially Bounded Right-Hand Side
Keyword(s):
Theorems on the unique solvability and nonnegativity of solutions to the characteristic initial value problemu1,1(t,x)=l0(u)(t,x)+l1(u1,0)(t,x)+l2(u0,1)(t,x)+q(t,x), u(t,c)=α(t)fort∈[a,b], u(a,x)=β(x) for x∈[c,d]given on the rectangle[a,b]×[c,d]are established, where the linear operatorsl0,l1,l2map 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.
2008 ◽
Vol 60
(2)
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pp. 191-198
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2008 ◽
Vol 47
(11-12)
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pp. 1292-1313
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2004 ◽
Vol 2004
(3)
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pp. 261-270
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1982 ◽
Vol 93
(1-2)
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pp. 33-39
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1996 ◽
Vol 7
(1)
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pp. 11-30
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1981 ◽
Vol 30
(3)
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pp. 435-452
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1974 ◽
Vol 55
(4)
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pp. 275-299
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1996 ◽
Vol 7
(5)
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pp. 511-518
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