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Besicovitch almost periodic solutions of abstract semi-linear differential equations with delay

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Yongkun Li, Mei Huang, Bing Li

Functional Analysis · Submitted 9 Dec 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Then, as an application, we use the contraction principal to obtain the existence and uniqueness of Besicovitch almost periodic solutions for a class of abstract semi-linear differential equations with delay.

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arXiv ID2112.04994 (version 1)
Pith IDGGQIYW4C, Pith's permanent record of this paper and its review
CitationBing Li, Mei Huang, Yongkun Li. "Besicovitch almost periodic solutions of abstract semi-linear differential equations with delay." arXiv:2112.04994 (2021). https://pith.science/paper/GGQIYW4C
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,361 input tokens.

What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.06 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.06 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this paper, we first use the Bohr property to give a definition of Besicovitch almost periodic functions, and study some basic properties of Besicovitch almost periodic functions, including the equivalence of the Bohr property and the Bochner property. Then, as an application, we use the contraction principal to obtain the existence and uniqueness of Besicovitch almost periodic solutions for a class of abstract semi-linear differential equations with delay.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this paper, we first use the Bohr property to give a definition of Besicovitch almost periodic functions, and study some basic properties of Besicovitch almost periodic functions, including the equivalence of the Bohr property and the Bochner property. contribution 0.97 0.85 0.06 asserted 0.99
s1 Then, as an application, we use the contraction principal to obtain the existence and uniqueness of Besicovitch almost periodic solutions for a class of abstract semi-linear differential equations with delay. result 0.61 0.95 0.83 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this paper, we first use the Bohr property to give a definition of Besicovitch almost periodic functions, and study some basic properties of Besicovitch almost periodic functions, including the equivalence of the Bohr property and the Bochner property. Then, as an application, we use the contraction principal to obtain the existence and uniqueness of Besicovitch almost periodic solutions for a class of abstract semi-linear differential equations with delay.

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