New Oscillation Results of Second-Order Damped Dynamic Equations with p-Laplacian on Time Scales
By employing a generalized Riccati technique and functions in some function classes for integral averaging, we derive new oscillation criteria of second-order damped dynamic equation with p-Laplacian on time scales of the form (rtφγ(xΔ(t)))Δ+ptφγ(xΔ(t))+f(t,x(g(t)))=0, where the coefficient function...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2015-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/709242 |
| id |
doaj-acad8e291b1849a890e75d1f9ba705cd |
|---|---|
| record_format |
Article |
| spelling |
doaj-acad8e291b1849a890e75d1f9ba705cd2020-11-24T22:48:17ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/709242709242New Oscillation Results of Second-Order Damped Dynamic Equations with p-Laplacian on Time ScalesYang-Cong Qiu0Qi-Ru Wang1School of Humanities & Social Science, Shunde Polytechnic, Foshan, Guangdong 528333, ChinaSchool of Mathematics & Computational Science, Sun Yat-Sen University, Guangzhou, Guangdong 510275, ChinaBy employing a generalized Riccati technique and functions in some function classes for integral averaging, we derive new oscillation criteria of second-order damped dynamic equation with p-Laplacian on time scales of the form (rtφγ(xΔ(t)))Δ+ptφγ(xΔ(t))+f(t,x(g(t)))=0, where the coefficient function p(t) may change sign. Two examples are given to demonstrate the obtained results.http://dx.doi.org/10.1155/2015/709242 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yang-Cong Qiu Qi-Ru Wang |
| spellingShingle |
Yang-Cong Qiu Qi-Ru Wang New Oscillation Results of Second-Order Damped Dynamic Equations with p-Laplacian on Time Scales Discrete Dynamics in Nature and Society |
| author_facet |
Yang-Cong Qiu Qi-Ru Wang |
| author_sort |
Yang-Cong Qiu |
| title |
New Oscillation Results of Second-Order Damped Dynamic Equations with p-Laplacian on Time Scales |
| title_short |
New Oscillation Results of Second-Order Damped Dynamic Equations with p-Laplacian on Time Scales |
| title_full |
New Oscillation Results of Second-Order Damped Dynamic Equations with p-Laplacian on Time Scales |
| title_fullStr |
New Oscillation Results of Second-Order Damped Dynamic Equations with p-Laplacian on Time Scales |
| title_full_unstemmed |
New Oscillation Results of Second-Order Damped Dynamic Equations with p-Laplacian on Time Scales |
| title_sort |
new oscillation results of second-order damped dynamic equations with p-laplacian on time scales |
| publisher |
Hindawi Limited |
| series |
Discrete Dynamics in Nature and Society |
| issn |
1026-0226 1607-887X |
| publishDate |
2015-01-01 |
| description |
By employing a generalized Riccati technique and functions in some function classes for integral averaging, we derive new oscillation criteria of second-order damped dynamic equation with p-Laplacian on time scales of the form (rtφγ(xΔ(t)))Δ+ptφγ(xΔ(t))+f(t,x(g(t)))=0, where the coefficient function p(t) may change sign. Two examples are given to demonstrate the obtained results. |
| url |
http://dx.doi.org/10.1155/2015/709242 |
| work_keys_str_mv |
AT yangcongqiu newoscillationresultsofsecondorderdampeddynamicequationswithplaplacianontimescales AT qiruwang newoscillationresultsofsecondorderdampeddynamicequationswithplaplacianontimescales |
| _version_ |
1725678732354519040 |