On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium
It is proved that any first-order globally periodic linear inhomogeneous autonomous difference equation defined by a linear operator with closed range in a Banach space has an equilibrium. This result is extended for higher order linear inhomogeneous system in a real or complex Euclidean space. The...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/971394 |
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| _version_ | 1832549832313536512 |
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| author | István Győri László Horváth |
| author_facet | István Győri László Horváth |
| author_sort | István Győri |
| collection | DOAJ |
| description | It is proved that any first-order globally periodic linear inhomogeneous
autonomous difference equation defined by a linear operator with closed
range in a Banach space has an equilibrium. This result is extended for
higher order linear inhomogeneous system in a real or complex Euclidean
space. The work was highly motivated by the early works of Smith (1934,
1941) and the papers of Kister (1961) and Bas (2011). |
| format | Article |
| id | doaj-art-f2b5be39801348cab7504c8585cacd54 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f2b5be39801348cab7504c8585cacd542025-02-03T06:08:32ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/971394971394On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an EquilibriumIstván Győri0László Horváth1Department of Mathematics, University of Pannonia, Egyetem Utca 10, Veszprém 8200, HungaryDepartment of Mathematics, University of Pannonia, Egyetem Utca 10, Veszprém 8200, HungaryIt is proved that any first-order globally periodic linear inhomogeneous autonomous difference equation defined by a linear operator with closed range in a Banach space has an equilibrium. This result is extended for higher order linear inhomogeneous system in a real or complex Euclidean space. The work was highly motivated by the early works of Smith (1934, 1941) and the papers of Kister (1961) and Bas (2011).http://dx.doi.org/10.1155/2013/971394 |
| spellingShingle | István Győri László Horváth On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium Abstract and Applied Analysis |
| title | On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium |
| title_full | On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium |
| title_fullStr | On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium |
| title_full_unstemmed | On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium |
| title_short | On Linear Difference Equations for Which the Global Periodicity Implies the Existence of an Equilibrium |
| title_sort | on linear difference equations for which the global periodicity implies the existence of an equilibrium |
| url | http://dx.doi.org/10.1155/2013/971394 |
| work_keys_str_mv | AT istvangyori onlineardifferenceequationsforwhichtheglobalperiodicityimpliestheexistenceofanequilibrium AT laszlohorvath onlineardifferenceequationsforwhichtheglobalperiodicityimpliestheexistenceofanequilibrium |