Geodesic
Difference Equations and Dynamical Systems Generated by Certain Classes of Boundary Value Problems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Dynamical systems and related problems of geometry, Tome 244 (2004), pp. 281-296

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A special class of evolution semigroups is considered. The study of these semigroups can be reduced to the analysis of the dynamical properties of maps with one- or two-dimensional phase space. The structure of attractors and the entropy properties of appropriate infinite-dimensional dynamical systems are described. 
@article{TM_2004_244_a10,
     author = {A. N. Sharkovskii and E. Yu. Romanenko},
     title = {Difference {Equations} and {Dynamical} {Systems} {Generated} by {Certain} {Classes} of {Boundary} {Value} {Problems}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {281--296},
     publisher = {mathdoc},
     volume = {244},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2004_244_a10/}
}
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A. N. Sharkovskii; E. Yu. Romanenko. Difference Equations and Dynamical Systems Generated by Certain Classes of Boundary Value Problems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Dynamical systems and related problems of geometry, Tome 244 (2004), pp. 281-296. http://geodesic.mathdoc.fr/item/TM_2004_244_a10/