Viability Result for Second-Order Functional Differential Inclusions

Aitalioubrahim, Myelkebir

doi:10.1007/s10883-016-9326-7

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2020

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“…This work extends results which are presented in [1,2,3,4,5,8,12]. Indeed, we get an existence result, in a separable Banach space, for higher-order functional dierential inclusions, with a constraint which depends on time.…”

Section: Introductionsupporting

confidence: 85%

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Viability result for higher-order functional differential inclusions

Aitalioubrahim¹

2020

Methods Funct. Anal. Topol.

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We prove, in separable Banach spaces, the existence of viable solutions for the following higher-order functional dierential inclusion x (k) (t) \in F (t, T (t)x, x (1) (t), ..., x (k-1) (t)), a.e. on [0, \tau ]. We consider the case when the right-hand side is nonconvex and the constraint is moving. ®¢®¤¨âìáï ÷áã¢ ï ¢ á¥¯ à ¡¥«ì¨å ¡ å®¢¨å¯à®áâ®à å à® §¢'ï §ª÷¢ ¢áì®¬ã ÷â¥à¢ «÷ ¤«ï äãªae÷® «ì®-¤¨ä¥à¥ae÷ «ì¨å ¢ª«îç¥ì x (k) (t) \in F (t, T (t)x, x (1) (t), ..., x (k-1) (t)), a.e. on [0, \tau ]. ® §£«ï¤ õâìáï ¢¨¯ ¤®ª ¥®¯ãª«®ù¯à ¢®ù ç áâ¨¨â àãå®¬®£® ®¡¬¥¦¥ï. K , dened below, is locally compact.

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Section: Introductionsupporting

confidence: 85%

“…This program of research on this subject was studied by several authors under various assumptions. In this way we refer the reader to [2,4,5,9,12] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Viability result for higher-order functional differential inclusions

Aitalioubrahim¹

2020

Methods Funct. Anal. Topol.

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Viability Result for Second-Order Functional Differential Inclusions

Cited by 1 publication

References 5 publications

Viability result for higher-order functional differential inclusions

Viability result for higher-order functional differential inclusions

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