Title:
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Activities in a one-dimensional continuous neural network (English) |
Author:
|
Oğuztöreli, Mehmet Namik |
Language:
|
English |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
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1212-5059 (online) |
Volume:
|
14 |
Issue:
|
3 |
Year:
|
1978 |
Pages:
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161-169 |
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Category:
|
math |
. |
MSC:
|
45K05 |
MSC:
|
92Cxx |
idZBL:
|
Zbl 0427.92009 |
idMR:
|
MR512755 |
. |
Date available:
|
2008-06-06T06:05:07Z |
Last updated:
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2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107003 |
. |
Reference:
|
[1] M. N. Oğuztöreli: On the neural equations of Cowan and Stein (1).Utilitas Mathematica 2, 305-317 (1972). MR 0349254 |
Reference:
|
[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). MR 0380324 |
Reference:
|
[2b] 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). MR 0380324 |
Reference:
|
[2c] 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). MR 0430710 |
Reference:
|
[2d] 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). MR 0348170 |
Reference:
|
[3] R. B. Stein K. V. Leung M. N. Oğuztöreli D. W. Williams: Properties of small neural networks.Kybernetik 14, 223-230 (1974). |
Reference:
|
[4] R. B. Stein K. V. Leung D. Mangeron M. N. Oğuztöreli: Improved neuronal models for studying neural networks.Kybernetik 15, 1-9 (1974). |
Reference:
|
[5] M. N. Oğuztöreli: On the activities in a continuous neural network.Biol. Cybernetics 18, 41-48 (1975). MR 0484517 |
Reference:
|
[6] 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); |
Reference:
|
[6b] 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); MR 0282059 |
Reference:
|
[6c] M. Picone: DuodecimDoctorum Virorum Vitae et Operum Notitia."Pontificia Academia Scientiarum", A.D. MCMLXX, 117-146. |
Reference:
|
[7] M. N. Oğuztöreli: Activity propagation in a continuous neural network.(in press). |
Reference:
|
[8] M. N. Oğuztöreli: A Goursat problem for the fourth moment equation.J. Math. Phys. 16, 1244-1246 (1975). MR 0398293 |
Reference:
|
[9] M. N. Oğuztöreli: On a pseudoparabolic differential equation.Utilitas Mathematica 7, 121-133 (1975). MR 0380163 |
Reference:
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[10] 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. MR 0352647 |
Reference:
|
[11] M. N. Oğuztöreli: Time-lag control system.Academic Press. New York and London 1966. MR 0217394 |
Reference:
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[12] D. V. Widder: The Laplace Transform.Princeton University Press. Princeton 1946. MR 0005923 |
Reference:
|
[13] A. Erdelyi W. Magnus F. Oberhettinger F. G. Tricomi: Tables of Integral Transforms.Vol. II. McGraw-Hill. New York, Toronto, London 1954. MR 0065685 |
Reference:
|
[14] G. E. Roberts H. Kaufman: Table of Laplace Transforms.W. B. Saunders, Philadelphia and London, 1966. MR 0190638 |
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