DOŠLÁ, Zuzana, Mariella CECCHI and Mauro MARINI. On recessive and dominant solutions for half-linear difference equations. J. Difference Equ. Appl. 2004, vol. 10, No 9, p. 797-808. ISSN 1023-6198.
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Basic information
Original name On recessive and dominant solutions for half-linear difference equations
Name in Czech O recesivních a dominantních řešení pololineárních diferenčních rovnic
Authors DOŠLÁ, Zuzana (203 Czech Republic, guarantor), Mariella CECCHI (380 Italy) and Mauro MARINI (380 Italy).
Edition J. Difference Equ. Appl. 2004, 1023-6198.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher United States of America
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.671
RIV identification code RIV/00216224:14310/04:00011559
Organization unit Faculty of Science
UT WoS 000222897500001
Keywords in English recessive solution; dominant solution; half-linear second order difference equation; boundary value problems; Riccati difference equation
Tags boundary value problems, dominant solution, Recessive solution, Riccati difference equation
Changed by Changed by: prof. RNDr. Zuzana Došlá, DSc., učo 2128. Changed: 23/6/2009 13:19.
Abstract
Recessive and dominant solutions for the half-linear difference equation are studied. By the unique solvability of certain boundary value problems, recessive solutions are defined as "smallest solutions in a neighbourhood of infinity". The equivalency with other properties, namely with the Riccati property and the convergence or divergence of a suitable series, is also proved.
Abstract (in Czech)
Jsou vyšetřována recesivní a dominantní řešení pololineárních diferenčních rovnic. Pomocí jednoznačné řešitelnosti okrajových úloh je definováno recesivní řešení jako nejmenší řešení v okolí nekonečna. Je také ukázána ekvivalentnost tohoto pojmu s dalšími vlastnostmi, zejména s Riccatiho vlastností a konvergencí a divergencí jistých řad.
Links
GA201/01/0079, research and development projectName: Kvalitativní teorie řešení diferenčních rovnic
Investor: Czech Science Foundation, Qualitative theory of solutions of difference equations
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