This article is cited in 21 papers

Exponentially splittable hyperbolic systems with two independent variables

R. K. Romanovskii


Abstract: A property of hyperbolic systems which is an analogue of the property of exponential dichotomy for ordinary differential equations is studied. Exponentially decaying Green matrices of first and second kind are the main tool. Bounded solutions of e-splittable systems and projections in phase space of the Cauchy problem which describe the dichotomy of the solutions are constructed; the equivalence of the properties of e-splittability and regularity and preservation of e-splittability under small perturbations of the system are established.
Bibliography: 11 titles.

UDC: 517.9

MSC: Primary 35L45; Secondary 35R99

Received: 31.01.1986

 English version: Mathematics of the USSR-Sbornik, 1988, 61:2, 335–349

Bibliographic databases:

• 
•