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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/709242 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554516909654016 |
|---|---|
| author | Yang-Cong Qiu Qi-Ru Wang |
| author_facet | Yang-Cong Qiu Qi-Ru Wang |
| author_sort | Yang-Cong Qiu |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-acad8e291b1849a890e75d1f9ba705cd |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-acad8e291b1849a890e75d1f9ba705cd2025-02-03T05:51:26ZengWileyDiscrete 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2015/709242 |
| work_keys_str_mv | AT yangcongqiu newoscillationresultsofsecondorderdampeddynamicequationswithplaplacianontimescales AT qiruwang newoscillationresultsofsecondorderdampeddynamicequationswithplaplacianontimescales |