Some stability conditions for scalar Volterra difference equations
New explicit stability results are obtained for the following scalar linear difference equation \[x(n+1)-x(n)=-a(n)x(n)+\sum_{k=1}^n A(n,k)x(k)+f(n)\] and for some nonlinear Volterra difference equations.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2016-01-01
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| Series: | Opuscula Mathematica |
| Subjects: | |
| Online Access: | http://www.opuscula.agh.edu.pl/vol36/4/art/opuscula_math_3625.pdf |
| _version_ | 1819095393670004736 |
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| author | Leonid Berezansky Małgorzata Migda Ewa Schmeidel |
| author_facet | Leonid Berezansky Małgorzata Migda Ewa Schmeidel |
| author_sort | Leonid Berezansky |
| collection | DOAJ |
| description | New explicit stability results are obtained for the following scalar linear difference equation \[x(n+1)-x(n)=-a(n)x(n)+\sum_{k=1}^n A(n,k)x(k)+f(n)\] and for some nonlinear Volterra difference equations. |
| first_indexed | 2024-12-21T23:42:36Z |
| format | Article |
| id | doaj.art-521d185cea354d809e3ab0a3a8c629c2 |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-21T23:42:36Z |
| publishDate | 2016-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-521d185cea354d809e3ab0a3a8c629c22022-12-21T18:46:11ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742016-01-01364459470http://dx.doi.org/10.7494/OpMath.2016.36.4.4593625Some stability conditions for scalar Volterra difference equationsLeonid Berezansky0Małgorzata Migda1Ewa Schmeidel2Ben-Gurion University of Negev, Department of Mathematics, Beer-Sheva, 84105 IsraelPoznan University of Technology, Institute of Mathematics, Piotrowo 3A, 60-965 Poznań, PolandUniversity of Bialystok, Institute of Mathematics, Faculty of Mathematics and Computer Science, Ciołkowskiego 1M, 15-245 Białystok, PolandNew explicit stability results are obtained for the following scalar linear difference equation \[x(n+1)-x(n)=-a(n)x(n)+\sum_{k=1}^n A(n,k)x(k)+f(n)\] and for some nonlinear Volterra difference equations.http://www.opuscula.agh.edu.pl/vol36/4/art/opuscula_math_3625.pdflinear and nonlinear Volterra difference equationsboundedness of solutionsexponential and asymptotic stability |
| spellingShingle | Leonid Berezansky Małgorzata Migda Ewa Schmeidel Some stability conditions for scalar Volterra difference equations Opuscula Mathematica linear and nonlinear Volterra difference equations boundedness of solutions exponential and asymptotic stability |
| title | Some stability conditions for scalar Volterra difference equations |
| title_full | Some stability conditions for scalar Volterra difference equations |
| title_fullStr | Some stability conditions for scalar Volterra difference equations |
| title_full_unstemmed | Some stability conditions for scalar Volterra difference equations |
| title_short | Some stability conditions for scalar Volterra difference equations |
| title_sort | some stability conditions for scalar volterra difference equations |
| topic | linear and nonlinear Volterra difference equations boundedness of solutions exponential and asymptotic stability |
| url | http://www.opuscula.agh.edu.pl/vol36/4/art/opuscula_math_3625.pdf |
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