{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T02:48:24Z","timestamp":1747190904959,"version":"3.40.5"},"reference-count":23,"publisher":"Wiley","license":[{"start":{"date-parts":[[2022,6,30]],"date-time":"2022-06-30T00:00:00Z","timestamp":1656547200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Special Account for Research of ASPETE"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2022,6,30]]},"abstract":"<jats:p>In this paper, we present a new method to establish the oscillation of advanced second-order difference equations of the form <jats:inline-formula>\n                     <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\">\n                        <a:mi>\u0394<\/a:mi>\n                        <a:mfenced open=\"(\" close=\")\">\n                           <a:mrow>\n                              <a:mi>\u03b7<\/a:mi>\n                              <a:mfenced open=\"(\" close=\")\">\n                                 <a:mrow>\n                                    <a:mi>\u2113<\/a:mi>\n                                 <\/a:mrow>\n                              <\/a:mfenced>\n                              <a:mi>\u0394<\/a:mi>\n                              <a:mi>\u03c5<\/a:mi>\n                              <a:mfenced open=\"(\" close=\")\">\n                                 <a:mrow>\n                                    <a:mi>\u2113<\/a:mi>\n                                 <\/a:mrow>\n                              <\/a:mfenced>\n                           <\/a:mrow>\n                        <\/a:mfenced>\n                        <a:mo>+<\/a:mo>\n                        <a:mi>\u03c1<\/a:mi>\n                        <a:mfenced open=\"(\" close=\")\">\n                           <a:mrow>\n                              <a:mi>\u2113<\/a:mi>\n                           <\/a:mrow>\n                        <\/a:mfenced>\n                        <a:mi>\u03c5<\/a:mi>\n                        <a:mfenced open=\"(\" close=\")\">\n                           <a:mrow>\n                              <a:mi>\u03c3<\/a:mi>\n                              <a:mfenced open=\"(\" close=\")\">\n                                 <a:mrow>\n                                    <a:mi>\u2113<\/a:mi>\n                                 <\/a:mrow>\n                              <\/a:mfenced>\n                           <\/a:mrow>\n                        <\/a:mfenced>\n                        <a:mo>=<\/a:mo>\n                        <a:mn>0<\/a:mn>\n                        <a:mo>,<\/a:mo>\n                     <\/a:math>\n                  <\/jats:inline-formula> using the ordinary difference equation <jats:inline-formula>\n                     <o:math xmlns:o=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\">\n                        <o:mi>\u0394<\/o:mi>\n                        <o:mfenced open=\"(\" close=\")\">\n                           <o:mrow>\n                              <o:mi>\u03b7<\/o:mi>\n                              <o:mfenced open=\"(\" close=\")\">\n                                 <o:mrow>\n                                    <o:mi>\u2113<\/o:mi>\n                                 <\/o:mrow>\n                              <\/o:mfenced>\n                              <o:mi>\u0394<\/o:mi>\n                              <o:mi>\u03c5<\/o:mi>\n                              <o:mfenced open=\"(\" close=\")\">\n                                 <o:mrow>\n                                    <o:mi>\u2113<\/o:mi>\n                                 <\/o:mrow>\n                              <\/o:mfenced>\n                           <\/o:mrow>\n                        <\/o:mfenced>\n                        <o:mo>+<\/o:mo>\n                        <o:mi>q<\/o:mi>\n                        <o:mfenced open=\"(\" close=\")\">\n                           <o:mrow>\n                              <o:mi>\u2113<\/o:mi>\n                           <\/o:mrow>\n                        <\/o:mfenced>\n                        <o:mi>\u03c5<\/o:mi>\n                        <o:mfenced open=\"(\" close=\")\">\n                           <o:mrow>\n                              <o:mi>\u2113<\/o:mi>\n                              <o:mo>+<\/o:mo>\n                              <o:mn>1<\/o:mn>\n                           <\/o:mrow>\n                        <\/o:mfenced>\n                        <o:mo>=<\/o:mo>\n                        <o:mn>0<\/o:mn>\n                        <o:mo>.<\/o:mo>\n                     <\/o:math>\n                  <\/jats:inline-formula> The obtained results are new and improve the existing criteria. We provide examples to illustrate the main results.<\/jats:p>","DOI":"10.1155\/2022\/3407776","type":"journal-article","created":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T01:05:08Z","timestamp":1656637508000},"page":"1-5","source":"Crossref","is-referenced-by-count":0,"title":["Modified Oscillation Results for Advanced Difference Equations of Second-Order"],"prefix":"10.1155","volume":"2022","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0477-1895","authenticated-orcid":true,"given":"G. 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