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Linear Volterra-Stieltjes integral equations and control

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References

  1. B.D. Hinton, A Stieltjes-Volterra integral equations theory, Cana-J.Math.,18(1966),314–331.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. C.W. Bitzer, Stieltjes-Volterra integral equations, Illinois J. of Math.,14(1970),434–451.

    MathSciNet  MATH  Google Scholar 

  3. C.S. Hönig, Volterra Stieltjes-integral equations, Mathematics Studies,16,North-Holland Publishing Comp.,Amsterdam,1975.

    MATH  Google Scholar 

  4. C.S. Hönig, Volterra-Stieltjes integral equations with linear constraints and discontinuous solutions,Bull.Amer.Math.Soc., 81(1975), 593–598.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. C.S. Hönig, Volterra-Stieltjes-Integral equations,Springer Lecture Notes in Mathematics,vol.799(1980),173–216.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. C.S.Hönig, The resolvent of linear Volterra Stieltjes-integral equations, preprint,1981.

    Google Scholar 

  7. C.S. Hönig, Equations intégrales généralisées et applications, Publications Mathématiques d'Orsay, (1981–82).To appear.

    Google Scholar 

  8. S.E.Arbex, Equações integrais de Volterra-Stieltjes com núcleos descontínuos,Doctor Thesis, Instituto de Matemática e Estatística-Univ. de São Paulo,1976.

    Google Scholar 

  9. J.B.F.Gomes, O índice de equações integrais lineares de Volterra Stieltjes,Doctor Thesis,Institutode Matemática e Estatística-Univ.de São Paulo,1980.

    Google Scholar 

  10. M.I.de Souza, Equações diferencio-integrais do tipo Riemann-Stieltjes em espaços de Banach com soluçoes descontínuas, Master Thesis,Instituto de Matemática e Estatística-Univ. de São Paulo,1974.

    Google Scholar 

  11. C.S.Cardassi,Dependência diferencíavel das soluções de equações integro-diferenciais em espaços de Banach,Master Thesis, Instituto de Matematica e Estatistica-Univ. de São Paulo,1975.

    Google Scholar 

  12. L.Fischman, Equações lineares de Volterra-Stieltjes,com condições de contorno (adjunta),Master Thesis,Instituto de Matemática e Estatística-Univ.de São Pauło.In preparation.

    Google Scholar 

  13. St. Schwabik, On Volterra-Stieltjes integral equations,Ćas.Pěst.Mat.,99(1974), 225–278.

    MathSciNet  MATH  Google Scholar 

  14. St. Schwabik, Note on Volterra-Stieltjes integral equations,CĂs.Pést.Mat., 102(1977),275–279.

    MathSciNet  MATH  Google Scholar 

  15. St. Schwabik,On an integral operator in the space of functions with bounded variation, CĂs.Pěst.Mat.,97(1972),297–330.

    MathSciNet  MATH  Google Scholar 

  16. St. Schwabik,M. Tvrdy and O. Vejdova, Differential and integral equations.Academia Praha,Praha,1979.

    Google Scholar 

  17. R.K. Miller, Nonlinear Volterra integral equations,Mathematics Lecture Note Series,W.A.Benjamin,Inc.,1971.

    Google Scholar 

  18. R.Conti, Return sets of a linear control process,JOTA.To.appear.

    Google Scholar 

  19. A. Bacciotti, Autoacessibilité par familles symétriques de champs de vecteurs,Ricerche di Automatica,7(1976),189–197.

    Google Scholar 

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© 1983 Springer-Verlag

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Barbanti, L. (1983). Linear Volterra-Stieltjes integral equations and control. In: Knobloch, H.W., Schmitt, K. (eds) Equadiff 82. Lecture Notes in Mathematics, vol 1017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0103236

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  • DOI: https://doi.org/10.1007/BFb0103236

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  • Print ISBN: 978-3-540-12686-7

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