On Distribution Semigroups with a Singularity at Zero and Bounded Solutions of Differential Inclusions

Баскаков, А. Г.; Chernyshov, K. I.

doi:10.1007/s11006-006-0002-1

Cited by 3 publications

(3 citation statements)

References 4 publications

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“…We refer to [5], [6], [10], [19] and [25] for further information about well-posedness of abstract degenerate differential equations of first order. In this way we continue the researches raised in [15], [16] and [22] (see also [3], [7], [17], [18] and [19]- [21]). The operator C is not injective, in general.…”

Section: Introductionmentioning

confidence: 58%

Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine functions in locally convex spaces

Velinov

Kostić

Pilipović

2017

Filomat

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The main purpose of this paper is to investigate degenerate C-(ultra)distribution cosine functions in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate C-(ultra)distribution cosine function is a multivalued linear operator and the regularizing operator C is not necessarily injective. We provide a few important theoretical novelties, considering also exponential subclasses of degenerate C-(ultra)distribution cosine functions. E(a, b) := λ ∈ C : ℜλ ≥ b, |ℑλ| ≤ e aℜλ (a, b > 0).

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Section: Introductionmentioning

confidence: 58%

Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine functions in locally convex spaces

Velinov

Kostić

Pilipović

2017

Filomat

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“…Here, we consider multivalued linear operators as infinitesimal generators of a degenerate C-ultradistribution semigroups (cf. [3], [12], [22], [25]). The organization of the paper is as follows.…”

Section: Introductionmentioning

confidence: 99%

C-distribution semigroups and C-ultradistribution semigroups in locally convex spaces

2017

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“…As mentioned in the abstract, we consider multivalued linear operators as infinitesimal generators of such semigroups and allow the regularizing operator C to be non-injective (cf. [3], [13], [24], [27] and [30]- [32] for the primary source of information on degenerate distribution semigroups in Banach spaces). In contrast to the analyses carried out in [30,Section 2.2] and [3, Section 3], we do not use any decomposition of the state space E.…”

Section: Introductionmentioning

confidence: 99%

Degenerate $C$-distribution semigroups in locally convex spaces

Kostić,

Pilipović,

Velinov

2016

Preprint

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The main purpose of this paper is to investigate degenerate Cdistribution semigroups in the setting of barreled sequentially complete locally convex spaces. In our approach, the infinitesimal generator of a degenerate C-distribution semigroup is a multivalued linear operator and the regularizing operator C is not necessarily injective. We provide a few important theoretical novelties, considering also exponential subclasses of degenerate C-distribution semigroups.

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On Distribution Semigroups with a Singularity at Zero and Bounded Solutions of Differential Inclusions

Cited by 3 publications

References 4 publications

Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine functions in locally convex spaces

Degenerate C-distribution cosine functions and degenerate C-ultradistribution cosine functions in locally convex spaces

C-distribution semigroups and C-ultradistribution semigroups in locally convex spaces

Degenerate $C$-distribution semigroups in locally convex spaces

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