Regularity for Variational Evolution Integrodifferential Inequalities | Zendy

Yong Han Kang | Zendy; JinMun Jeong | Zendy

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Regularity for Variational Evolution Integrodifferential Inequalities

Author(s) -

Yong Han Kang,

JinMun Jeong

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/797516

Subject(s) - mathematics , hilbert space , forcing (mathematics) , nonlinear system , interpolation (computer graphics) , space (punctuation) , set (abstract data type) , variational inequality , mathematical analysis , state (computer science) , pure mathematics , algorithm , computer science , physics , quantum mechanics , programming language , operating system , animation , computer graphics (images)

We deal with the regularity for solutions of nonlinear functional integrodifferential equations governed by the variational inequality in a Hilbert space. Moreover, by using the simplest definition of interpolation spaces and the known regularity result, we also prove that the solution mapping from the set of initial and forcing data to the state space of solutions is continuous, which very often arises in application. Finally, an example is also given to illustrate our main result

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