In this paper, we prove the uniqueness of generalized solution defined by Lebesgue-Stieltjes integral for the Cauchy problem of transportation equations. Our results are based on the discussions for linear system with...In this paper, we prove the uniqueness of generalized solution defined by Lebesgue-Stieltjes integral for the Cauchy problem of transportation equations. Our results are based on the discussions for linear system with discontinuous coefficient.展开更多
In this paper, we prove the global existence of generalized solutions to a two-dimensional Cauchy problem of a hyperbolic system by introducing a new definition of generalized solution. Moreover, the solution may invo...In this paper, we prove the global existence of generalized solutions to a two-dimensional Cauchy problem of a hyperbolic system by introducing a new definition of generalized solution. Moreover, the solution may involve delta-wave.展开更多
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-cal...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.展开更多
In this paper, we prove the global existence and uniqueness of generalized solution defined by Lebesgue-Stieltjes integral containing the so called δ-wave for Cauchy problems of a nonstrictly hyperbolic system, and o...In this paper, we prove the global existence and uniqueness of generalized solution defined by Lebesgue-Stieltjes integral containing the so called δ-wave for Cauchy problems of a nonstrictly hyperbolic system, and obtain some interesting properties of the δ-wave.展开更多
In this paper, we prove the global existence of generalized solutions of Cauchy problem for transportation equations; moreover, we construct the solution by generalized potential.
文摘In this paper, we prove the uniqueness of generalized solution defined by Lebesgue-Stieltjes integral for the Cauchy problem of transportation equations. Our results are based on the discussions for linear system with discontinuous coefficient.
文摘In this paper, we prove the global existence of generalized solutions to a two-dimensional Cauchy problem of a hyperbolic system by introducing a new definition of generalized solution. Moreover, the solution may involve delta-wave.
文摘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.
文摘In this paper, we prove the global existence and uniqueness of generalized solution defined by Lebesgue-Stieltjes integral containing the so called δ-wave for Cauchy problems of a nonstrictly hyperbolic system, and obtain some interesting properties of the δ-wave.
文摘In this paper, we prove the global existence of generalized solutions of Cauchy problem for transportation equations; moreover, we construct the solution by generalized potential.
