Asymptotic behavior of solutions of nonlinear functional differential equations

Jong Soo Jung, Jong Yeoul Park and Hong Jae Kang

International Journal of Mathematics and Mathematical Sciences, 1994, vol. 17, 1-10

Abstract:

Using the properties of almost nonexpansive curves introduced by B. Djafari Rouhani, we study the asymptotic behavior of solutions of nonlinear functional differential equation d u ( t ) / d t + A u ( t ) + G ( u ) ( t ) ? f ( t ) , where A is a maximal monotone operator in a Hilbert space H , f ? L 1 ( 0 , 8 : H ) and G : C ( [ 0 , 8 ) : D ( A ) ¯ ) ? L 1 ( 0 , 8 : H ) is a given mapping.

Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:365294

DOI: 10.1155/S0161171294001006

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