| MULTIVALUED DIFFERENTIAL EQUATIONS IN BANACH SPACES AND THEIR APPLICATIONS |
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| 作者姓名： | 刘振海 |
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| 作者单位： | Liu ZhenhaiDepartment of Mathematics，Changsha University of Electric Power，Hunan 410077，China School of Mathematics and Information Sciences，Wenzhou University，Wenzhou 325027，ChinaIvan Szanto Departamento de Matematica，Universidad T.F.Santa Maria |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China(10171008) |
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| 摘 要： | IIntroductionConsider the initial value problemDtL干Au＋1ugi．U＜t＜I,oh山)”w,where A is of of。s(S＋)and F is a multivalued msp．If F is singl。vlued Hiranoti goteistence results for Fbeing compact．Ahmed and Xiang21 extended Hirano’s results forFsatls州ngthat＜Fu。,u。一U＞－＋ 0 lfunconverges wewyto h;While Liul3]e枕ended theabOV6 th6lltlollsd T6SllltS to COf正erpolldlllg ClAsS Of yatlatlollal ill6qttallt16s ld lfittodllC6d 8 hO16gmerdC0nd让ND th幼劝m比a bro劝0 d%sdpenurb砒…
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| 收稿时间： | 8 September 2000 |
MULTIVALUED DIFFERENTIAL EQUATIONS IN BANACH SPACES AND THEIR APPLICATIONS |
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| Ivan Szanto.MULTIVALUED DIFFERENTIAL EQUATIONS IN BANACH SPACES AND THEIR APPLICATIONS[J].Acta Mathematica Scientia,2002,22(2):213-221. |
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| Authors: | Ivan Szanto |
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| Institution: | Department of Mathematics, Changsha University of Electric Power, Hunan 410077, China;School of Mathematics and Information Sciences, Wenzhou University, Wenzhou 325027, China;Departamento de Matematica, Universidad T.F.Santa Maria, Casilla 110-V, Valparaiso, Chile |
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| Abstract: | This paper studies the existence of solutions to a class of multivalued differential equations by using a surjectivity result for multivalued (S+) type mappings. The authors then apply their results to evolution hemivariational inequalities and parabolic equations with nonmonotone discontinuities, which generalize and extend previously known theorems. |
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| Keywords: | Evolution equations differential inclusions mulitvalued mappings existence results hemivariational inequality |
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