| EXISTENCE OF SOLUTIONS TO DIFFERENTIALINCLUSIONS IN BANACH SPACES |
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| 作者姓名： | 宋福民 |
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| 作者单位： | Song Fumin (Nanchang Institute of Aeronautical Technology. Nanchang 330034，P. R. China)(Project supported by the Natural Science Foundation of Jiangxi province in China) |
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| 摘 要： | I.IntroductionOwingtothefactthatthesystemwithwhicheconomics,biologyandsoonaredefinitelyconcernedtohaveuncertainty,includingthatcausedbyrestrictiononknowledge.asformathematicaltreatment,generallytheycanonlybedescribedbymeansofdifferentialinclusionsinsteadofdifferentialequations.Itiswell-knownthatthederivativex')ofasolutionx.)tothedifferentialequationx'(t)=f(t,x(t))inheritsthereqularityproperitiesofthemapfandthefunctionx(').Thisisnolongerthecasewithdifferentialinclusionsandisoneofthereasonswhyt…
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| 收稿时间： | 2 December 1997 |
Existence of solutions to differential inclusions in Banach spaces |
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| Song Fumin.EXISTENCE OF SOLUTIONS TO DIFFERENTIALINCLUSIONS IN BANACH SPACES[J].Applied Mathematics and Mechanics(English Edition),1998,19(11):1103-1113. |
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| Authors: | Song Fumin |
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| Institution: | (1) Nanchang Institute of Aeronautical Technology, 330034 Nanchang, P. R. China |
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| Abstract: | In this paper, the existence of solutions to differential inclusions is discussed in infinite dimensional Banach spaces . First, some comparability theorems for common differential inclusions are posed, relations between approximate solutions and solutions are studied. In the end ,the existence theorem of solutions to differential inclusions is obtained. |
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| Keywords: | Banach space differential inclusion set-valued mappings existence theorem |
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