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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/545264 |
| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |