The behavior of solutions of non-linear differential equations in Hilbert space. I
This paper deals with the behavior of solutions of ordinary differential equations in a Hilbert Space. Under certain conditions, we obtain lower estimates or upper estimates (or both) for the norm of solutions of two kinds of equations. We also obtain results about the uniqueness and the quasi-uniqu...
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| Format: | Article |
| Language: | English |
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Wiley
1988-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171288000195 |
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| _version_ | 1850172946716295168 |
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| author | Vladimir Schuchman |
| author_facet | Vladimir Schuchman |
| author_sort | Vladimir Schuchman |
| collection | DOAJ |
| description | This paper deals with the behavior of solutions of ordinary differential equations in a Hilbert Space. Under certain conditions, we obtain lower estimates or upper estimates (or both) for the norm of solutions of two kinds of equations. We also obtain results about the uniqueness and the quasi-uniqueness of the Cauchy problems of these equations. A method similar to that of Agmon-Nirenberg is used to study the uniqueness of the Cauchy problem for the non-degenerate linear case. |
| format | Article |
| id | doaj-art-d16f0fa8eff54811b2cd4d26eb4a674d |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1988-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d16f0fa8eff54811b2cd4d26eb4a674d2025-08-20T02:19:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251988-01-0111114316510.1155/S0161171288000195The behavior of solutions of non-linear differential equations in Hilbert space. IVladimir Schuchman0Departamento de Makematicas, del Centro de Investigacion y de Estudios Avanzados del I.P.N. Apartado, Postal 14-740, Mexico, D. F. CP 07000, MexicoThis paper deals with the behavior of solutions of ordinary differential equations in a Hilbert Space. Under certain conditions, we obtain lower estimates or upper estimates (or both) for the norm of solutions of two kinds of equations. We also obtain results about the uniqueness and the quasi-uniqueness of the Cauchy problems of these equations. A method similar to that of Agmon-Nirenberg is used to study the uniqueness of the Cauchy problem for the non-degenerate linear case.http://dx.doi.org/10.1155/S0161171288000195 |
| spellingShingle | Vladimir Schuchman The behavior of solutions of non-linear differential equations in Hilbert space. I International Journal of Mathematics and Mathematical Sciences |
| title | The behavior of solutions of non-linear differential equations in Hilbert space. I |
| title_full | The behavior of solutions of non-linear differential equations in Hilbert space. I |
| title_fullStr | The behavior of solutions of non-linear differential equations in Hilbert space. I |
| title_full_unstemmed | The behavior of solutions of non-linear differential equations in Hilbert space. I |
| title_short | The behavior of solutions of non-linear differential equations in Hilbert space. I |
| title_sort | behavior of solutions of non linear differential equations in hilbert space i |
| url | http://dx.doi.org/10.1155/S0161171288000195 |
| work_keys_str_mv | AT vladimirschuchman thebehaviorofsolutionsofnonlineardifferentialequationsinhilbertspacei AT vladimirschuchman behaviorofsolutionsofnonlineardifferentialequationsinhilbertspacei |