(a, k)‐Regularized C‐Resolvent Families: Regularity and Local Properties | Zendy

Marko Kostić | Zendy

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(a, k)‐Regularized C‐Resolvent Families: Regularity and Local Properties

Author(s) -

Marko Kostić

Publication year - 2009

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 - 10.1155/2009/858242

Subject(s) - resolvent , mathematics , differentiable function , subordination (linguistics) , pure mathematics , class (philosophy) , duality (order theory) , spectral properties , mathematical analysis , artificial intelligence , computer science , philosophy , linguistics , chemistry , computational chemistry

We introduce the class of (local) (a,k)-regularized C-resolvent families anddiscuss its basic structural properties. In particular, our analysis covers subjectslike regularity, perturbations, duality, spectral properties and subordinationprinciples. We apply our results in the study of the backwards fractionaldiffusion-wave equation and provide several illustrative examples of differentiable(a,k)-regularized C-resolvent families

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