Initial-boundary value problems for first order hyperbolic systems
نویسندگان
چکیده
منابع مشابه
First Order Initial Value Problems
where the initial time, t0, is a given real number, the initial position, ~ ξ0 ∈ IR, is a given vector and ~ F : IR × IR → IR is a given function. We shall assume throughout these notes that ~ F is C. By definition, a solution to the initial value problem (1) on the interval I (which may be open, closed or half–open, but which, of course, contains t0) is a differentiable function ~x(t) which obeys
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where the initial time, t0, is a given real number, the initial position, ~ ξ0 ∈ IR, is a given vector and ~ F : IR × IR → IR is a given function. We shall assume throughout these notes that ~ F is C. By definition, a solution to the initial value problem (1) on the interval I (which may be open, closed or half–open, but which, of course, contains t0) is a differentiable function ~x(t) which obeys
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1971
ISSN: 0034-5318
DOI: 10.2977/prims/1195193788