On continuous solutions to linear hyperbolic systems

Global continuous solutions to diagonalizable hyperbolic systems with large and monotone data

Lifespan of Classical Solutions to Quasi-linear Hyperbolic Systems with Small BV Normal Initial Data

In this paper, we first give a lower bound of the lifespan and some estimates of classical solutions to the Cauchy problem for general quasi-linear hyperbolic systems, whose characteristic fields are not weakly linearly degenerate and the inhomogeneous terms satisfy Kong’s matching condition. After that, we investigate the lifespan of the classical solution to the Cauchy problem and give a shar...

Continuous Solutions of Linear Equations

On Periodic in the Plane Solutions of Second Order Linear Hyperbolic Systems

to have the Fredholm property and to be uniquely solvable are established, where ! 1 and ! 2 are positive constants and P j : R 2 ! R nn (j = 0;1; 2) and q : R 2 ! R n are continuous matrix and vector functions periodic in x and y.

Solutions of Fuzzy Linear Systems using Ranking function

In this work, we propose an approach for computing the compromised solution of an LR fuzzy linear system by using of a ranking function when the coefficient matrix is a crisp mn matrix. To do this, we use expected interval to find an LR fuzzy vector, X , such that the vector (AX ) has the least distance from (b) in 1 norm and the 1 cut of X satisfies the crisp linear system AX = b ...