Activities in a one-dimensional continuous neural network

Mehmet Namik Oğuztöreli

Archivum Mathematicum (1978)

  • Volume: 014, Issue: 3, page 161-169
  • ISSN: 0044-8753

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Oğuztöreli, Mehmet Namik. "Activities in a one-dimensional continuous neural network." Archivum Mathematicum 014.3 (1978): 161-169. <http://eudml.org/doc/17975>.

@article{Oğuztöreli1978,
author = {Oğuztöreli, Mehmet Namik},
journal = {Archivum Mathematicum},
keywords = {propagation of nervous activities; one-dimensional neural network; non- linear integro-differential difference equation},
language = {eng},
number = {3},
pages = {161-169},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Activities in a one-dimensional continuous neural network},
url = {http://eudml.org/doc/17975},
volume = {014},
year = {1978},
}

TY - JOUR
AU - Oğuztöreli, Mehmet Namik
TI - Activities in a one-dimensional continuous neural network
JO - Archivum Mathematicum
PY - 1978
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 014
IS - 3
SP - 161
EP - 169
LA - eng
KW - propagation of nervous activities; one-dimensional neural network; non- linear integro-differential difference equation
UR - http://eudml.org/doc/17975
ER -

References

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  1. M. N. Oğuztöreli, On the neural equations of Cowan and Stein (1), Utilitas Mathematica 2, 305-317 (1972). (1972) Zbl0277.34013MR0349254
  2. K. V. Leung D. Mangeron M. N. Oğuztöreli R. B. Stein, On a class of nonlinear integro-differential equations. I, Rend. Accad. Naz Lincei 54, 522-528 (1973). (1973) Zbl0278.45013MR0380324
  3. K. V. Leung D. Mangeron M. N. Oğuztöreli R. B. Stein, On a class of nonlinear integrodifferential equations. II, Rend. Accad. Naz. Lincei 54, 699-705 (1973). (1973) Zbl0278.45013MR0380324
  4. K. V. Leung D. Mangeron M. N. Oğuztöreli R. B. Stein, On a class of nonlinear integrodifferential equations. III, Bull. Acad. Roy. Sci. Belgique. Serie 5, 59, 492-499 (1973). (1973) Zbl0278.45013MR0430710
  5. K. V. Leung D. Mangeron M. N. Oğuztöreli R. B. Stein, On the stability and numerical solutions of two neural models, Utilitas Mathematica 5, 167-212 (1974). (1974) Zbl0297.92003MR0348170
  6. R. B. Stein K. V. Leung M. N. Oğuztöreli D. W. Williams, Properties of small neural networks, Kybernetik 14, 223-230 (1974). (1974) Zbl0276.92002
  7. R. B. Stein K. V. Leung D. Mangeron M. N. Oğuztöreli, Improved neuronal models for studying neural networks, Kybernetik 15, 1-9 (1974). (1974) Zbl0297.92002
  8. M. N. Oğuztöreli, On the activities in a continuous neural network, Biol. Cybernetics 18, 41-48 (1975). (1975) Zbl0304.92009MR0484517
  9. M. Picone, Sopra un problema dei valori al contorno nelle equazioni iperboliche alle derivate parziali del second'ordine e sopra una classe di equazioni integrali che a quello si riconnettono, "Rend. Circolo Mat. Palermo", 31, 133-190 (1911); (190) Zbl42.0391.03
  10. M. Picone, Su alcuni problemi di determinazione delle soluzioni di equazioni lineari a derivate parziali del second'ordine di tipo iperbolico, "AttiAccad. Istituto di Bologna, Cl. sci. fis." Anno 258, ser XII, 8, 60-71 (1910); (1910) Zbl0214.35701MR0282059
  11. M. Picone, DuodecimDoctorum Virorum Vitae et Operum Notitia, "Pontificia Academia Scientiarum", A.D. MCMLXX, 117-146. 
  12. M. N. Oğuztöreli, Activity propagation in a continuous neural network, (in press). Zbl0417.92006
  13. M. N. Oğuztöreli, A Goursat problem for the fourth moment equation, J. Math. Phys. 16, 1244-1246 (1975). (1975) Zbl0306.35076MR0398293
  14. M. N. Oğuztöreli, On a pseudoparabolic differential equation, Utilitas Mathematica 7, 121-133 (1975). (1975) Zbl0306.35079MR0380163
  15. L. E. Eľsgoľts S. B. Norkin, Introduction to the Theory and Application of Differential Equations with Deviating Arguments, Academic Press. New York and London 1973. (1973) MR0352647
  16. M. N. Oğuztöreli, Time-lag control system, Academic Press. New York and London 1966. (1966) Zbl0143.12101MR0217394
  17. D. V. Widder, The Laplace Transform, Princeton University Press. Princeton 1946. (1946) Zbl0060.24801MR0005923
  18. A. Erdelyi W. Magnus F. Oberhettinger F. G. Tricomi, Tables of Integral Transforms, Vol. II. McGraw-Hill. New York, Toronto, London 1954. (1954) Zbl0055.36401MR0065685
  19. G. E. Roberts H. Kaufman, Table of Laplace Transforms, W. B. Saunders, Philadelphia and London, 1966. (1966) Zbl0137.08901MR0190638

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