Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of Solutions
Properties of asymmetric oscillator described by the equation (i), where and , are studied. A set of such that the problem (i), (ii), and (iii) have a nontrivial solution, is called α-spectrum. We give full description of α-spectra in terms of solution sets and solution surfaces. The exact numb...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/705984 |
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| _version_ | 1832558201091915776 |
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| author | Armands Gritsans Felix Sadyrbaev |
| author_facet | Armands Gritsans Felix Sadyrbaev |
| author_sort | Armands Gritsans |
| collection | DOAJ |
| description | Properties of asymmetric oscillator described by the equation (i), where and , are studied. A set of such that the problem (i), (ii), and (iii) have a nontrivial solution, is called α-spectrum. We give full description of α-spectra in terms of solution sets and solution surfaces. The exact number of nontrivial solutions of the two-parameter Dirichlet boundary value problem (i), and (ii) is given. |
| format | Article |
| id | doaj-art-c0d2ee233a3c46f2baa526867d0ea0b2 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c0d2ee233a3c46f2baa526867d0ea0b22025-02-03T01:33:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/705984705984Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of SolutionsArmands Gritsans0Felix Sadyrbaev1Daugavpils University, Department of Mathematics, Parades Street 1, 5400 Daugavpils, LatviaDaugavpils University, Department of Mathematics, Parades Street 1, 5400 Daugavpils, LatviaProperties of asymmetric oscillator described by the equation (i), where and , are studied. A set of such that the problem (i), (ii), and (iii) have a nontrivial solution, is called α-spectrum. We give full description of α-spectra in terms of solution sets and solution surfaces. The exact number of nontrivial solutions of the two-parameter Dirichlet boundary value problem (i), and (ii) is given.http://dx.doi.org/10.1155/2013/705984 |
| spellingShingle | Armands Gritsans Felix Sadyrbaev Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of Solutions International Journal of Mathematics and Mathematical Sciences |
| title | Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of Solutions |
| title_full | Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of Solutions |
| title_fullStr | Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of Solutions |
| title_full_unstemmed | Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of Solutions |
| title_short | Boundary Value Problems for a Super-Sublinear Asymmetric Oscillator: The Exact Number of Solutions |
| title_sort | boundary value problems for a super sublinear asymmetric oscillator the exact number of solutions |
| url | http://dx.doi.org/10.1155/2013/705984 |
| work_keys_str_mv | AT armandsgritsans boundaryvalueproblemsforasupersublinearasymmetricoscillatortheexactnumberofsolutions AT felixsadyrbaev boundaryvalueproblemsforasupersublinearasymmetricoscillatortheexactnumberofsolutions |