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math.AP2013★ 7 cited
Robustness of Exponential Dichotomies of Boundary-Value Problems for General First-Order Hyperbolic Systems
I. Kmit, L. Recke, V. Tkachenko
We examine robustness of exponential dichotomies of boundary value problems for general linear first-order one-dimensional hyperbolic systems. The boundary conditions are supposed…
math.AP2013★ 16 cited
Periodic Solutions to Dissipative Hyperbolic Systems. II: Hopf Bifurcation for Semilinear Problems
I. Kmit, L. Recke
We consider boundary value problems for semilinear hyperbolic systems of the type $$ \partial_tu_j + a_j(x,\la)\partial_xu_j + b_j(x,\la,u) = 0, \; x\in(0,1), \;j=1,\dots,n $$ with…