Hyperbolic Transformation and Hyperbolic Difference Systems

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Authors	DOŠLÝ Ondřej POSPÍŠIL Zdeněk
Year of publication	2001
Type	Article in Periodical
Magazine / Source	Fasciculi Mathematici
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	symplectic difference system; hyperbolic system; recessive solution; hyperbolic transformation
Description	Transformations of hyperbolic difference systems z(k)=S(k)z(k) are investigated. It is shown that symplectic systems satisfying certain additional condition can be transformed (using transformation that preserves oscillation properties of transformed systems) into the so-called hyperbolic difference system. Basic properties of solutions of hyperbolic systems are established.
Related projects:	Difference equations and their applications Qualitative theory of differential equations Functional-differential equations and mathematical-statistical models