Existence of Subharmonic Periodic Solutions to a Class of Second-Order Non-Autonomous Neutral Functional Differential Equations
By introducing subdifferentiability of lower semicontinuous convex function φ(x(t),x(t−τ)) and its conjugate function, as well as critical point theory and operator equation theory, we obtain the existence of multiple subharmonic periodic solutions to the following second-order nonlinear nonautonomo...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/404928 |
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| Summary: | By introducing subdifferentiability of lower semicontinuous
convex function φ(x(t),x(t−τ)) and its conjugate function, as well
as critical point theory and operator equation theory, we obtain the existence of
multiple subharmonic periodic solutions to the following second-order nonlinear
nonautonomous neutral nonlinear functional differential equation x″(t)+x″(t−2τ)+f(t,x(t),x(t−τ),x(t−2τ))=0, x(0)=0. |
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| ISSN: | 1085-3375 1687-0409 |