{"corpus_id":122383619,"paper_sha":"29e62102f6cb971c833a193282ca654536c2a568","doi":"10.1016/J.JMAA.2008.02.006","arxiv_id":null,"pmid":null,"pmcid":null,"mag_id":2077877471,"dblp_id":null,"acl_id":null,"title":"Periodic solutions of the nonlinear telegraph equations with bounded nonlinearities","year":2008,"publication_date":"2008-07-15","venue":"","journal":{"name":"Journal of Mathematical Analysis and Applications","pages":"758-762","volume":"343"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Mathematics"],"reference_count":8,"citation_count":16,"influential_citation_count":1,"is_open_access":false,"arxiv_categories":null,"arxiv_license":null,"arxiv_journal_ref":null,"mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":null,"s2_open_access_landing_url":null,"s2_open_access_license":null,"s2_open_access_status":null,"pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"In this article, using the Leray-Schauder degree theory, we discuss existence, nonexistence and multiplicity for the periodic solutions of the nonlinear telegraph equation u(tt) - u(xx) + cu(t) + Phi(u) = f(t, x) + s, where c > 0, Phi is an element of C(R), f is an element of C(T-2) and s is a parameter. (c) 2008 Elsevier Inc. 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