On the existence of solutions of an integro-differential equation in Banach spaces

Stanisław Szufla

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2009)

  • Volume: 29, Issue: 1, page 107-111
  • ISSN: 1509-9407

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Stanisław Szufla. "On the existence of solutions of an integro-differential equation in Banach spaces." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 29.1 (2009): 107-111. <http://eudml.org/doc/271193>.

@article{StanisławSzufla2009,
author = {Stanisław Szufla},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
language = {eng},
number = {1},
pages = {107-111},
title = {On the existence of solutions of an integro-differential equation in Banach spaces},
url = {http://eudml.org/doc/271193},
volume = {29},
year = {2009},
}

TY - JOUR
AU - Stanisław Szufla
TI - On the existence of solutions of an integro-differential equation in Banach spaces
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2009
VL - 29
IS - 1
SP - 107
EP - 111
LA - eng
UR - http://eudml.org/doc/271193
ER -

References

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  1. [1] J. Banaś, K. Goebel, Measures of noncompactness in Banach spaces, Marcel Dekker, New York-Basel, 1980. Zbl0441.47056
  2. [2] H.P. Heinz, On the behaviour of measures of noncompactness with respect to differentiation and integration of vector-valued functions, Nonlinear Anal. 7 (1983), 1351-1371. Zbl0528.47046
  3. [3] M. Kisielewicz, Differential Inclusions and Optimal Control, PWN, Warszawa, Kluwer Academic Publishers, Dordrecht-Boston-London, 1991. Zbl0731.49001
  4. [4] M. Kisielewicz, Existence, uniqueness and continuous depedence of solutions of differential equations in Banach spaces, Ann. Polon. Math. 50 (1989), 117-128. 
  5. [5] S. Szufla, On Volterra integral equations in Banach spaces, Funkcial. Ekvac. 20 (1977), 247-258. Zbl0379.45025
  6. [6] S. Szufla, Osgood type conditions for an m-th order differential equation, Discuss. Math. Diff. Inclusions 18 (1998), 45-55. Zbl0932.34062
  7. [7] S. Szufla, On the of structure of solutions sets of differential and integral equations in Banach spaces, Ann. Polon. Math. 34 (1977), 165-177. Zbl0384.34038

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