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2018•Journal of Emerging Technologies and Innovative ResearchRequires access

EXISTENCE AND UNIQUENESS OF THE SOLUTIONS TO NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS

karan

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Abstract

This article presents results on existence and Uniqueness of mild solutions to stochastic neutral functional differential equations(SNFDEs) under non- Lipschitz condition withLipschitz condition being considered as a special case and a weakened linear growth condition.The solution is constructed by the successive approximation.Some results in Govindan[3,4] are generalized to cover a class of more general SNFDEs

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This article presents results on existence and Uniqueness of mild solutions to stochastic neutral functional differential equations(SNFDEs) under non- Lipschitz condition withLipschitz condition being considered as a special case and a weakened linear growth condition.The solution is constructed by the successive approximation.Some results in Govindan[3,4] are generalized to cover a class of more general SNFDEs

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Available abstract

This article presents results on existence and Uniqueness of mild solutions to stochastic neutral functional differential equations(SNFDEs) under non- Lipschitz condition withLipschitz condition being considered as a special case and a weakened linear growth condition.The solution is constructed by the successive approximation.Some results in Govindan[3,4] are generalized to cover a class of more general SNFDEs

Key concepts: Uniqueness, Lipschitz continuity, Mathematics, Class (philosophy), Cover (algebra), Stochastic differential equation, Applied mathematics, Mathematical analysis

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EXISTENCE AND UNIQUENESS OF THE SOLUTIONS TO NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NON-LIPSCHITZ COEFFICIENTS — Research Paper | ScholarLens