Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations
By using some solvability methods and the contraction mapping principle are investigated bounded, as well as periodic solutions to some classes of nonhomogeneous linear second-order difference equations on domains N 0 , Z ∖ N 2 and Z . The case when the coefficients of the equa...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-10-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/9/10/227 |
| _version_ | 1818039527215726592 |
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| author | Stevo Stević |
| author_facet | Stevo Stević |
| author_sort | Stevo Stević |
| collection | DOAJ |
| description | By using some solvability methods and the contraction mapping principle are investigated bounded, as well as periodic solutions to some classes of nonhomogeneous linear second-order difference equations on domains N 0 , Z ∖ N 2 and Z . The case when the coefficients of the equation are constant and the zeros of the characteristic polynomial associated to the corresponding homogeneous equation do not belong to the unit circle is described in detail. |
| first_indexed | 2024-12-10T08:00:03Z |
| format | Article |
| id | doaj.art-d37516389f3d48a78a8719eea733c117 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-12-10T08:00:03Z |
| publishDate | 2017-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-d37516389f3d48a78a8719eea733c1172022-12-22T01:56:49ZengMDPI AGSymmetry2073-89942017-10-0191022710.3390/sym9100227sym9100227Bounded Solutions to Nonhomogeneous Linear Second-Order Difference EquationsStevo Stević0Mathematical Institute of the Serbian Academy of Sciences, Knez Mihailova 36/III, 11000 Beograd, SerbiaBy using some solvability methods and the contraction mapping principle are investigated bounded, as well as periodic solutions to some classes of nonhomogeneous linear second-order difference equations on domains N 0 , Z ∖ N 2 and Z . The case when the coefficients of the equation are constant and the zeros of the characteristic polynomial associated to the corresponding homogeneous equation do not belong to the unit circle is described in detail.https://www.mdpi.com/2073-8994/9/10/227linear second-order difference equationbounded solutioncontraction mapping principleinteger domain |
| spellingShingle | Stevo Stević Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations Symmetry linear second-order difference equation bounded solution contraction mapping principle integer domain |
| title | Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations |
| title_full | Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations |
| title_fullStr | Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations |
| title_full_unstemmed | Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations |
| title_short | Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations |
| title_sort | bounded solutions to nonhomogeneous linear second order difference equations |
| topic | linear second-order difference equation bounded solution contraction mapping principle integer domain |
| url | https://www.mdpi.com/2073-8994/9/10/227 |
| work_keys_str_mv | AT stevostevic boundedsolutionstononhomogeneouslinearsecondorderdifferenceequations |