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Title: Activities in a one-dimensional continuous neural network  (English)
Author: Oğuztöreli, Mehmet Namik
Language: English
Journal: Archivum Mathematicum
ISSN: 0044-8753 (print)
ISSN: 1212-5059 (online)
Volume: 14
Issue: 3
Year: 1978
Pages: 161-169
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Category: math
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Summary:
MSC: 45K05
MSC: 92Cxx
idZBL: Zbl 0427.92009
idMR: MR512755
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Date available: 2008-06-06T06:05:07Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107003
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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: [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: [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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