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Existence and uniqueness of discontinuous solutions defined by Lebesgue-Stieltjes integral 被引量:5

Existence and uniqueness of discontinuous solutions defined by Lebesgue-Stieltjes integral
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摘要 The global existence and uniqueness of solutions for the Cauchy problem of a non-strictly hyperbolic system are proved. Such new generalized solutions are defined by Lebesgue-Stieltjes integral. It involves the so-called wave. The method can also be applied to more general systems. The global existence and uniqueness of solutions for the Cauchy problem of a non-strictly hyperbolic system are proved. Such new generalized solutions are defined by Lebesgue-Stieltjes integral. It involves the so-called wave. The method can also be applied to more general systems.
作者 丁夏畦 王振
出处 《Science China Mathematics》 SCIE 1996年第8期807-819,共13页 中国科学:数学(英文版)
关键词 HYPERBOLIC system GENERALIZED solution Lebesgue-Stieltjes integral. hyperbolic system, generalized solution, Lebesgue-Stieltjes integral.
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