{"title":"具有附加条件的Drygas泛函方程的解","authors":"M. Dehghanian, S. Izadi, S. Jahedi","doi":"10.1007/s10474-024-01488-x","DOIUrl":null,"url":null,"abstract":"<div><p>We determine the solution of the Drygas functional equation that satisfies the additional condition <span>\\((y^2+y)f(x)= (x^2+x)f(y)\\)</span> on a restricted domain. Also, some other properties of Drygas functions are given as well.</p></div>","PeriodicalId":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"174 2","pages":"510 - 521"},"PeriodicalIF":0.6000,"publicationDate":"2024-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The solution of Drygas functional equations with additional conditions\",\"authors\":\"M. Dehghanian, S. Izadi, S. Jahedi\",\"doi\":\"10.1007/s10474-024-01488-x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We determine the solution of the Drygas functional equation that satisfies the additional condition <span>\\\\((y^2+y)f(x)= (x^2+x)f(y)\\\\)</span> on a restricted domain. Also, some other properties of Drygas functions are given as well.</p></div>\",\"PeriodicalId\":50894,\"journal\":{\"name\":\"Acta Mathematica Hungarica\",\"volume\":\"174 2\",\"pages\":\"510 - 521\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-12-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Hungarica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10474-024-01488-x\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-024-01488-x","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
The solution of Drygas functional equations with additional conditions
We determine the solution of the Drygas functional equation that satisfies the additional condition \((y^2+y)f(x)= (x^2+x)f(y)\) on a restricted domain. Also, some other properties of Drygas functions are given as well.
期刊介绍:
Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.