Research Article Details
| Article ID: | A31776 |
| PMID: | 29887745 |
| Source: | Proc Math Phys Eng Sci |
| Title: | Time periodic solutions of one-dimensional forced Kirchhoff equations with x-dependent coefficients. |
| Abstract: | In this paper, we consider the one-dimensional Kirchhoff equation with x-dependent coefficients under Dirichlet boundary conditions, which models the forced vibrations of a clamped inhomogeneous string in the presence of a time periodic external forcing with period 2π/ω and amplitude ϵ. By using the Nash-Moser iteration technique, we obtain the existence, regularity and local uniqueness of time periodic solutions with period 2π/ω and order ϵ. Such results hold for parameters (ω,ϵ) in a positive measure Cantor set that has asymptotically full measure as the amplitude ϵ goes to zero. |
| DOI: | 10.1098/rspa.2017.0620 |
| Strategy ID | Therapy Strategy | Synonyms | Therapy Targets | Therapy Drugs |
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| Target ID | Target Name | GENE | Action | Class | UniProtKB ID | Entry Name |
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| Diseases ID | DO ID | Disease Name | Definition | Class |
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| Drug ID | Drug Name | Type | DrugBank ID | Targets | Category | Latest Progress | |
|---|---|---|---|---|---|---|---|
| D328 | Serine | Chemical drug | DB00133 | SRR | Improve insulin resistance | Under clinical trials | Details |
| D083 | CLA | Chemical drug | DB01211 | KCNH2; SLCO1B1; SLCO1B3 | -- | Under clinical trials | Details |
| D248 | Obeticholic Acid | Chemical drug | DB05990 | NR1H4 activator; NR1H4 agonist; FXR agonist | Enhance lipid metabolism | Approval rejected | Details |
| D094 | Cysteamine | Chemical drug | DB00847 | GSS stimulant | Renal drug | Under clinical trials | Details |
| D095 | Cysteamine bitartrate | Chemical drug | DB00847 | -- | -- | Under clinical trials | Details |