On the Cauchy problem for a semi-linear hyperbolic system

On the Cauchy Problem for Nonlinear Hyperbolic Systems

This paper consider various examples of metrics which are contractive w.r.t. an evolution semigroup, and discusses the possibility of an abstract O.D.E. theory on metric spaces, with applications to hyperbolic systems. In particular, using a recently introduced deenition of Viscosity Solutions, it is shown how a strictly hyperbolic system of conservation laws can be reformulated as an abstract ...

On the Correctness of the Cauchy Problem for a Linear Differential System on an Infinite Interval

The conditions ensuring the correctness of the Cauchy problem dx dt = P(t)x + q(t), x(t0) = c0 on the nonnegative half-axis R+ are found, where P : R+ → Rn×n and q : R+ → Rn are locally summable matrix and vector functions, respectively, t0 ∈ R+ and c0 ∈ Rn. Consider the differential system dx dt = P(t)x + q(t) (1) with the initial condition x(t0) = c0 (2) where P : R+ → Rn×n and q : R+ → Rn ar...

The Cauchy problem for linear growth functionals

the algorithm for solving the inverse numerical range problem

برد عددی ماتریس مربعی a را با w(a) نشان داده و به این صورت تعریف می کنیم w(a)={x8ax:x ?s1} ، که در آن s1 گوی واحد است. در سال 2009، راسل کاردن مساله برد عددی معکوس را به این صورت مطرح کرده است : برای نقطه z?w(a)، بردار x?s1 را به گونه ای می یابیم که z=x*ax، در این پایان نامه ، الگوریتمی برای حل مساله برد عددی معکوس ارانه می دهیم.

on the effect of linear & non-linear texts on students comprehension and recalling

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