Differential inclusions with state-dependent impulses on the half-line: New Fréchet space of functions and structure of solution sets

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• 作者：Grzegorz Gabor ^{ggabor@mat.umk.pl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Differential inclusion ; State-dependent impulses ; Problems on the half-line ; Solution set ; Topological structure
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：446
• 期：2
• 页码：1427-1448
• 全文大小：480 K

文摘

An class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16305492&_mathId=si1.gif&_user=111111111&_pii=S0022247X16305492&_rdoc=1&_issn=0022247X&md5=e36296316655985329c7bdfaa31d8420" title="Click to view the MathML source">R_δclass="mathContainer hidden">class="mathCode">$R_{\delta }$-structure of solution sets to some classes of impulsive differential inclusions with variable impulse times on the half-line is shown. Sufficient conditions on barriers are discussed in detail. They imply two different techniques: the inverse limit method and the one based on a definition of class="mathmlsrc">class="formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0022247X16305492&_mathId=si1.gif&_user=111111111&_pii=S0022247X16305492&_rdoc=1&_issn=0022247X&md5=e36296316655985329c7bdfaa31d8420" title="Click to view the MathML source">R_δclass="mathContainer hidden">class="mathCode">$R_{\delta }$-sets and used in a new suitable Fréchet function space.