00961nas a2200133 4500008004100000245014200041210006900183260003100252520042800283100002300711700002300734700001900757856005100776 2016 en d00aPairs of positive periodic solutions of nonlinear ODEs with indefinite weight: a topological degree approach for the super-sublinear case0 aPairs of positive periodic solutions of nonlinear ODEs with inde bCambridge University Press3 a

We study the periodic and Neumann boundary value problems associated with the second order nonlinear differential equation u''+cu'+λa(t)g(u)=0, where g:[0,+∞[→[0,+∞[ is a sublinear function at infinity having superlinear growth at zero. We prove the existence of two positive solutions when ∫a(t)dt 0 is sufficiently large. Our approach is based on Mawhin's coincidence degree theory and index computations.

1 aBoscaggin, Alberto1 aFeltrin, Guglielmo1 aZanolin, Fabio uhttp://urania.sissa.it/xmlui/handle/1963/35262
{"ft_lang_label":"__label__en","ft_lang_prob":0.6891624,"math_prob":0.86600184,"size":894,"snap":"2019-43-2019-47","text_gpt3_token_len":243,"char_repetition_ratio":0.104494385,"word_repetition_ratio":0.08080808,"special_character_ratio":0.3277405,"punctuation_ratio":0.1037037,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.96225,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2019-10-16T22:04:59Z\",\"WARC-Record-ID\":\"<urn:uuid:421680c9-598f-4471-a20b-bcd865c403a5>\",\"Content-Length\":\"1398\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:dd864940-754e-4660-bb42-046c7c2215bd>\",\"WARC-Concurrent-To\":\"<urn:uuid:3fd1f4e9-a3f4-4ee9-bf0b-fb6e42cb5acf>\",\"WARC-IP-Address\":\"147.122.1.144\",\"WARC-Target-URI\":\"https://www.math.sissa.it/publications/export/marc/12165\",\"WARC-Payload-Digest\":\"sha1:4KXP5FK4LHDWWHFBKCYV4BRROPS4QBYW\",\"WARC-Block-Digest\":\"sha1:T3LH4MOENLSR6OEKUS5XHOOIW55UKUPD\",\"WARC-Identified-Payload-Type\":\"text/plain\",\"warc_filename\":\"/cc_download/warc_2019/CC-MAIN-2019-43/CC-MAIN-2019-43_segments_1570986670928.29_warc_CC-MAIN-20191016213112-20191017000612-00218.warc.gz\"}"}