Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable Coefficients
The asymptotic behavior of nonoscillatory solutions of the superlinear dynamic equation on time scales (𝑟(𝑡)𝑥Δ(𝑡))Δ+𝑝(𝑡)|𝑥(𝜎(𝑡))|𝛾sgn𝑥(𝜎(𝑡))=0, 𝛾>1, is discussed under the condition that 𝑃(𝑡)=lim𝜏→∞∫𝜏𝑡𝑝(𝑠)Δ𝑠 exists and 𝑃(𝑡)≥0 for large 𝑡....
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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/10.1155/2012/812165 |
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| _version_ | 1832545451209916416 |
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| author | Quanwen Lin Baoguo Jia |
| author_facet | Quanwen Lin Baoguo Jia |
| author_sort | Quanwen Lin |
| collection | DOAJ |
| description | The asymptotic behavior of nonoscillatory solutions of the
superlinear dynamic equation on time scales (𝑟(𝑡)𝑥Δ(𝑡))Δ+𝑝(𝑡)|𝑥(𝜎(𝑡))|𝛾sgn𝑥(𝜎(𝑡))=0, 𝛾>1, is discussed under the condition that 𝑃(𝑡)=lim𝜏→∞∫𝜏𝑡𝑝(𝑠)Δ𝑠 exists
and 𝑃(𝑡)≥0 for large 𝑡. |
| format | Article |
| id | doaj-art-8ab2d64e977c4d9f8b38d05a8fecb6ee |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8ab2d64e977c4d9f8b38d05a8fecb6ee2025-02-03T07:25:45ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/812165812165Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable CoefficientsQuanwen Lin0Baoguo Jia1Department of Mathematics, Maoming University, Maoming 525000, ChinaSchool of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaThe asymptotic behavior of nonoscillatory solutions of the superlinear dynamic equation on time scales (𝑟(𝑡)𝑥Δ(𝑡))Δ+𝑝(𝑡)|𝑥(𝜎(𝑡))|𝛾sgn𝑥(𝜎(𝑡))=0, 𝛾>1, is discussed under the condition that 𝑃(𝑡)=lim𝜏→∞∫𝜏𝑡𝑝(𝑠)Δ𝑠 exists and 𝑃(𝑡)≥0 for large 𝑡.http://dx.doi.org/10.1155/2012/812165 |
| spellingShingle | Quanwen Lin Baoguo Jia Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable Coefficients Abstract and Applied Analysis |
| title | Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable Coefficients |
| title_full | Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable Coefficients |
| title_fullStr | Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable Coefficients |
| title_full_unstemmed | Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable Coefficients |
| title_short | Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable Coefficients |
| title_sort | nonoscillatory solutions of second order superlinear dynamic equations with integrable coefficients |
| url | http://dx.doi.org/10.1155/2012/812165 |
| work_keys_str_mv | AT quanwenlin nonoscillatorysolutionsofsecondordersuperlineardynamicequationswithintegrablecoefficients AT baoguojia nonoscillatorysolutionsofsecondordersuperlineardynamicequationswithintegrablecoefficients |