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Linear Integral Equations with Discontinuous Kernels and the Representation of Operators on Regulated Functions on Time Scales

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Differential and Difference Equations with Applications

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 47))

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Abstract

We present here the linear Cauchy–Stieltjes integral on regulated functions with values in Banach spaces on time scales and represent a linear operator on the space of the regulated functions by means of an appropriate kernel in the integral.

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References

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Author information

Authors and Affiliations

  1. MAT-FE/IS, UNESP, Al. Rio de Janeiro 266, 15385-000, Ilha Solteira, SP, Brasil

    Luciano Barbanti & Berenice Camargo Damasceno

  2. IBILCE, UNESP, R. Cristovao Colombo 2265, 15054-000, Sao Jose do Rio Preto, SP, Brasil

    Geraldo Nunes Silva

  3. ICMC, USP, Av. Trabalhador Sao-carlense 400, 13566-590, Sao Carlos, SP, Brasil

    Marcia Cristina Anderson Braz Federson

Authors
  1. Luciano Barbanti
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  2. Berenice Camargo Damasceno
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  3. Geraldo Nunes Silva
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  4. Marcia Cristina Anderson Braz Federson
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Corresponding author

Correspondence to Luciano Barbanti .

Editor information

Editors and Affiliations

  1. Departamento de Ciências Exactas e Naturais, Academia Militar, Amadora, Portugal

    Sandra Pinelas

  2. University of Zürich Institute of Mathematics, Zürich, Switzerland

    Michel Chipot

  3. Masaryk University Dept. Mathematics, Brno, Czech Republic

    Zuzana Dosla

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Barbanti, L., Damasceno, B.C., Silva, G.N., Federson, M.C.A.B. (2013). Linear Integral Equations with Discontinuous Kernels and the Representation of Operators on Regulated Functions on Time Scales. In: Pinelas, S., Chipot, M., Dosla, Z. (eds) Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7333-6_21

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