Abstract and Applied Analysis

Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales

Abstract

This paper is concerned with second-order nonlinear damped dynamic equations on time scales of the following more general form ${(p(t){k}_{1}(x(t),{x}^{\Delta }(t)))}^{\Delta }+r(t){k}_{2}(x(t),{x}^{\Delta }(t)){x}^{\Delta }(t)+f(t,x(\sigma (t)))=0$. New oscillation results are given to handle some cases not covered by known criteria. An illustrative example is also presented.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 351256, 7 pages.

Dates
First available in Project Euclid: 27 February 2015
{"ft_lang_label":"__label__en","ft_lang_prob":0.5924597,"math_prob":0.9752784,"size":7951,"snap":"2019-26-2019-30","text_gpt3_token_len":2348,"char_repetition_ratio":0.1577954,"word_repetition_ratio":0.3014354,"special_character_ratio":0.29115835,"punctuation_ratio":0.25466236,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.993971,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-06-20T13:01:35Z\",\"WARC-Record-ID\":\"<urn:uuid:556aa6ae-1b07-44b6-8b13-87ad9d0bbab6>\",\"Content-Length\":\"38592\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:566a88ec-bad9-4387-aca8-5b0fc7501000>\",\"WARC-Concurrent-To\":\"<urn:uuid:eac247d2-026d-4cf4-b437-26b649c0c5d4>\",\"WARC-IP-Address\":\"132.236.27.47\",\"WARC-Target-URI\":\"https://projecteuclid.org/euclid.aaa/1425049098\",\"WARC-Payload-Digest\":\"sha1:U2O555346RDKNYBZZSNEVGWGOCN5UZSF\",\"WARC-Block-Digest\":\"sha1:ZGMWBB26COOQJUTGTV2SHRFFQ7JK6LP5\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-26/CC-MAIN-2019-26_segments_1560627999218.7_warc_CC-MAIN-20190620125520-20190620151520-00060.warc.gz\"}"}