Leggett–Williams theorems for coincidences of multivalued operators

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• 作者：Donal O’ ; Regan ; Mirosł ; awa Zima
• 关键词：Coincidence inclusion ; Multivalued map ; Cone ; Fixed point index
• 刊名：Nonlinear Analysis
• 出版年：2008
• 期刊代码：43_0362546x
• 类别：mt
• 出版时间：15 May 2008
• 卷：68
• 期：10
• 页码：2879-2888
• 文件大小：249 K

摘要

We study the existence of positive solutions to the operator equation f="/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4N68NF7-5&_mathId=mml1&_user=1067359&_cdi=5659&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=baaa1bb05df3fdf720977946af44b932" title="Click to view the MathML source" alt="Click to view the MathML source">Lxf" alt="set membership, variant" title="set membership, variant" border="0">Nx, where f="/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4N68NF7-5&_mathId=mml2&_user=1067359&_cdi=5659&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=fa1e6d2c5ab3ae64ab0fafffe18f050c" title="Click to view the MathML source" alt="Click to view the MathML source">L is a linear Fredholm mapping of index zero and f="/science?_ob=MathURL&_method=retrieve&_udi=B6V0Y-4N68NF7-5&_mathId=mml3&_user=1067359&_cdi=5659&_rdoc=3&_acct=C000050221&_version=1&_userid=10&md5=163061402a7a94e7e17aa195bce40552" title="Click to view the MathML source" alt="Click to view the MathML source">N is a nonlinear multivalued operator.