# On the Volterra integral equation and axiomatic measures of weak noncompactness

Mathematica Bohemica (2001)

- Volume: 126, Issue: 1, page 183-190
- ISSN: 0862-7959

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topBugajewski, Dariusz. "On the Volterra integral equation and axiomatic measures of weak noncompactness." Mathematica Bohemica 126.1 (2001): 183-190. <http://eudml.org/doc/248884>.

@article{Bugajewski2001,

abstract = {We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property. The main condition in our result is formulated in terms of axiomatic measures of weak noncompactness.},

author = {Bugajewski, Dariusz},

journal = {Mathematica Bohemica},

keywords = {measure of weak noncompactness; Volterra integral equation; measure of weak noncompactness; nonlinear Volterra integral equation; Kneser property},

language = {eng},

number = {1},

pages = {183-190},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On the Volterra integral equation and axiomatic measures of weak noncompactness},

url = {http://eudml.org/doc/248884},

volume = {126},

year = {2001},

}

TY - JOUR

AU - Bugajewski, Dariusz

TI - On the Volterra integral equation and axiomatic measures of weak noncompactness

JO - Mathematica Bohemica

PY - 2001

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 126

IS - 1

SP - 183

EP - 190

AB - We prove that a set of weak solutions of the nonlinear Volterra integral equation has the Kneser property. The main condition in our result is formulated in terms of axiomatic measures of weak noncompactness.

LA - eng

KW - measure of weak noncompactness; Volterra integral equation; measure of weak noncompactness; nonlinear Volterra integral equation; Kneser property

UR - http://eudml.org/doc/248884

ER -

## References

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