具有非线性导数依赖的脉冲sturm-liouville微分方程的变分方法

International journal of pure and applied mathematics Pub Date : 2019-12-17 DOI:10.12732/ijam.v32i5.8

Z. Mehraban, S. Heidarkhani, S. Tersian

{"title":"具有非线性导数依赖的脉冲sturm-liouville微分方程的变分方法","authors":"Z. Mehraban, S. Heidarkhani, S. Tersian","doi":"10.12732/ijam.v32i5.8","DOIUrl":null,"url":null,"abstract":"We study the existence and multiplicity of solutions for a class of impulsive Sturm-Liouville differential equations with nonlinear derivative dependence. By applying a critical point theory, we give some criteria to guarantee that our impulsive problem has at least three solutions under rather different assumptions and an exact interval of parameter λ. AMS Subject Classification: 34B15, 34B18, 34B24, 34B37, 58E30","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"27 1","pages":"805"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A VARIATIONAL APPROACH TO IMPULSIVE STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE\",\"authors\":\"Z. Mehraban, S. Heidarkhani, S. Tersian\",\"doi\":\"10.12732/ijam.v32i5.8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the existence and multiplicity of solutions for a class of impulsive Sturm-Liouville differential equations with nonlinear derivative dependence. By applying a critical point theory, we give some criteria to guarantee that our impulsive problem has at least three solutions under rather different assumptions and an exact interval of parameter λ. AMS Subject Classification: 34B15, 34B18, 34B24, 34B37, 58E30\",\"PeriodicalId\":14365,\"journal\":{\"name\":\"International journal of pure and applied mathematics\",\"volume\":\"27 1\",\"pages\":\"805\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-17\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International journal of pure and applied mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12732/ijam.v32i5.8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International journal of pure and applied mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12732/ijam.v32i5.8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

研究了一类具有非线性导数依赖的脉冲Sturm-Liouville微分方程解的存在性和多重性。利用临界点理论，给出了脉冲问题在不同的假设条件下至少有三个解和参数λ的精确区间的若干准则。AMS学科分类:34B15、34B18、34B24、34B37、58E30

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A VARIATIONAL APPROACH TO IMPULSIVE STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE

We study the existence and multiplicity of solutions for a class of impulsive Sturm-Liouville differential equations with nonlinear derivative dependence. By applying a critical point theory, we give some criteria to guarantee that our impulsive problem has at least three solutions under rather different assumptions and an exact interval of parameter λ. AMS Subject Classification: 34B15, 34B18, 34B24, 34B37, 58E30

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

International journal of pure and applied mathematics

自引率

0.00%

发文量