Sharp extensions and algebraic properties for solution families of vector-valued differential equations
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Publication:258965
DOI10.1215/17358787-3345137zbMath1380.47034arXiv1505.02995OpenAlexW2260318617MaRDI QIDQ258965
Carlos Lizama, Luciano Abadias, Pedro José Miana
Publication date: 10 March 2016
Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.02995
One-parameter semigroups and linear evolution equations (47D06) Laplace transform (44A10) (C)-semigroups, regularized semigroups (47D60)
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Cites Work
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- On a functional equation associated with \((a, k)\)-regularized resolvent families
- A novel characteristic of solution operator for the fractional abstract Cauchy problem
- Fractional abstract Cauchy problems
- On fractional powers of generators of fractional resolvent families
- \((a,k)\)-regularized \(C\)-resolvent families: regularity and local properties
- Algebra homomorphisms defined via convoluted semigroups and cosine functions
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Local integrated semigroups: Evolution with jumps of regularity
- Closed ideals in convolution algebras and the Laplace transform
- Regularized solutions for abstract Volterra equations
- On fractional resolvent operator functions
- Sharp extensions for convoluted solutions of wave equations.
- A characteristic of fractional resolvents
- Sharp extensions for convoluted solutions of abstract Cauchy problems
- On a characteristic of cosine functions
- Vector-valued Laplace Transforms and Cauchy Problems
- Local C -Semigroups and Local Integrated Semigroups
- Local and global solutions of well-posed integrated Cauchy problems
- Automatic extensions of local regularized semigroups and local regularized cosine functions
- Evolutionary Integral Equations and Applications
- A new characteristic property of Mittag-Leffler functions and fractional cosine functions
- The solution of boundary value problems by a double Laplace transformation
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