Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities
We deal with the existence and multiplicity of solutions for the periodic boundary value problem x″(t)+a(t)x(t)=λg(t)f(x)+c(t), x(0)=x(T), x′(0)=x′(T), where λ is a positive parameter. The function f:(0,∞)→(0,∞) is allowed to be singular, and the related Green's function is nonnegative and can...
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Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/545264 |
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doaj-8e65b7b119c9434f94e27a46a9aafeb22020-11-24T23:12:17ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/545264545264Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and SingularitiesAlberto Cabada0José Ángel Cid1Departamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainDepartamento de Matemáticas, Universidad de Jaén, Campus Las Lagunillas, Ed. B3, 23071 Jaén, SpainWe deal with the existence and multiplicity of solutions for the periodic boundary value problem x″(t)+a(t)x(t)=λg(t)f(x)+c(t), x(0)=x(T), x′(0)=x′(T), where λ is a positive parameter. The function f:(0,∞)→(0,∞) is allowed to be singular, and the related Green's function is nonnegative and can vanish at some points.http://dx.doi.org/10.1155/2011/545264 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alberto Cabada José Ángel Cid |
| spellingShingle |
Alberto Cabada José Ángel Cid Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities Abstract and Applied Analysis |
| author_facet |
Alberto Cabada José Ángel Cid |
| author_sort |
Alberto Cabada |
| title |
Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities |
| title_short |
Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities |
| title_full |
Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities |
| title_fullStr |
Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities |
| title_full_unstemmed |
Existence and Multiplicity of Solutions for a Periodic Hill's Equation with Parametric Dependence and Singularities |
| title_sort |
existence and multiplicity of solutions for a periodic hill's equation with parametric dependence and singularities |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2011-01-01 |
| description |
We deal with the existence and multiplicity of solutions for the
periodic boundary value problem x″(t)+a(t)x(t)=λg(t)f(x)+c(t), x(0)=x(T), x′(0)=x′(T), where λ is a positive parameter. The function f:(0,∞)→(0,∞) is allowed to be singular, and the related Green's function is nonnegative
and can vanish at some points. |
| url |
http://dx.doi.org/10.1155/2011/545264 |
| work_keys_str_mv |
AT albertocabada existenceandmultiplicityofsolutionsforaperiodichillsequationwithparametricdependenceandsingularities AT joseangelcid existenceandmultiplicityofsolutionsforaperiodichillsequationwithparametricdependenceandsingularities |
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1725601601533509632 |