Geodesic
On positiveness of the fundamental solution to a~difference equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2014), pp. 19-32

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We obtain sharp and effective conditions of positiveness of the fundamental solution for linear scalar difference equations. Two approaches are realized, namely, an analytic one (in terms of properties of the characteristic equation) and a geometric one (in terms of a domain in the parameter space of the problem).
Keywords: difference equation, fundamental solution, fixed sign of solution. 
@article{IVM_2014_3_a1,
     author = {V. V. Malygina},
     title = {On positiveness of the fundamental solution to a~difference equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {19--32},
     publisher = {mathdoc},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_3_a1/}
}
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V. V. Malygina. On positiveness of the fundamental solution to a~difference equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2014), pp. 19-32. http://geodesic.mathdoc.fr/item/IVM_2014_3_a1/