Some sufficient conditions for finding a second solution of the quadratic equation in a Banach space

Ioannis K. Argyros

Mathematica Slovaca (1988)

  • Volume: 38, Issue: 4, page 403-408
  • ISSN: 0139-9918

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Argyros, Ioannis K.. "Some sufficient conditions for finding a second solution of the quadratic equation in a Banach space." Mathematica Slovaca 38.4 (1988): 403-408. <http://eudml.org/doc/31709>.

@article{Argyros1988,
author = {Argyros, Ioannis K.},
journal = {Mathematica Slovaca},
keywords = {contraction operator; quadratic equation; bounded symmetric bilinear operator; existence of a second solution; suitable iteration scheme},
language = {eng},
number = {4},
pages = {403-408},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Some sufficient conditions for finding a second solution of the quadratic equation in a Banach space},
url = {http://eudml.org/doc/31709},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Argyros, Ioannis K.
TI - Some sufficient conditions for finding a second solution of the quadratic equation in a Banach space
JO - Mathematica Slovaca
PY - 1988
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 38
IS - 4
SP - 403
EP - 408
LA - eng
KW - contraction operator; quadratic equation; bounded symmetric bilinear operator; existence of a second solution; suitable iteration scheme
UR - http://eudml.org/doc/31709
ER -

References

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  2. ARGYROS I. K., On a contraction theorem and applications, (to appear in "Proceedings of Symposia in Pure Mathematices" of the American Mathematical Society). Zbl0622.47007MR0843548
  3. ARGYROS I. K., Quadratic equations in Banach space, perturbation techniques and applications to Chandrasekhar's and related equations, Ph.D. dissertation, University of Georgia, Athens 1984. (1984) 
  4. BOWDEN R. L., ZWEIFEL P. F., Aѕtrophyѕicѕ, J. 1976 219-232. (1976) 
  5. CHANDRASEKHAR S., Radiative Tranѕfer, Dover Publ., New York, 1960. (1960) MR0111583
  6. KELLEY C. T., Solution of the Chandraѕekhar H equation by Newton'ѕ method, J. Math. Phyѕ. 21, 1980, 1625-1628. (1980) MR0575595
  7. ARGYROS I. K., Approximation of ѕome quadratic integral equationѕ in tranѕport theory, J. Integral Equationѕ 4, 1982, 221-237. (1982) MR0661170
  8. MULLIKIN T. W., Some probability diѕtributionѕ for neutron tranѕport in half-ѕpace, J. Applied Probability 5, 1968, 357-374. (1968) MR0235626
  9. RALL L. B., Quadratic equations in Banach space, Rend. Circ. Math. Palermo 10, 1961, 314-332. (1961) MR0144184
  10. ARGYROS I. K., Computational Solution of Nonlinear Operator Equations, John Wiley Publ., New York, 1968. (1968) 
  11. STIBBS D. W. N., WEIR R. E., On the H-functions for isotropic scattering, Monthly Not. Roy. Aѕtron. Soc. 119, 1959, 515-525. (1959) Zbl0092.22403MR0112725

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