We establish a criterion for the existence of solutions of linear inhomogeneous boundary-value problems in a Banach space. We obtain conditions for the normal solvability of such problems and consider their special cases, namely, countable-dimensional boundary-value problems.
机构:
Hunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Hunan, Peoples R ChinaHunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Hunan, Peoples R China
Wang, Weibing
Yang, Xuxin
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机构:
Hunan First Normal Univ, Dept Math, Changsha 410205, Hunan, Peoples R ChinaHunan Univ Sci & Technol, Dept Math, Xiangtan 411201, Hunan, Peoples R China