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On the local existence of solutions of certain functional-differential equations. (English) Zbl 0182.12602


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[1] David R. Anderson, An existence theorem for a solution of \?\(^{\prime}\)(\?)=\?(\?,\?(\?(\?))), SIAM Rev. 8 (1966), 359 – 362. · Zbl 0148.05702 · doi:10.1137/1008070
[2] Rodney D. Driver, Existence theory for a delay-differential system, Contributions to Differential Equations 1 (1963), 317 – 336.
[3] L. È. Èl\(^{\prime}\)sgol\(^{\prime}\)c, Introduction to the theory of differential equations with deviating arguments, Translated from the Russian by Robert J. McLaughlin, Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam, 1966.
[4] W. R. Utz, The equation \( f'(x) = af(g(x))\), Bull. Amer. Math. Soc. 71 (1965), 138.
[5] Shafik Doss and Saad K. Nasr, On the functional equation \?\?/\?\?=\?(\?,\?(\?),\?(\?+\?)),\?>0, Amer. J. Math. 75 (1953), 713 – 716. · Zbl 0053.06101 · doi:10.2307/2372546
[6] William Benjamin Fite, Properties of the solutions of certain functional-differential equations, Trans. Amer. Math. Soc. 22 (1921), no. 3, 311 – 319.
[7] V. P. Skripnik, Systems with transformed argument. Boundary-value problems and the Cauchy problem, Mat. Sb. (N.S.) 62 (104) (1963), 385 – 396 (Russian). · Zbl 0125.04403
[8] V. P. Skripnik, Systems with transformed argument in the case where the transformed argument depends on its solutions, Mat. Sb. (N.S.) 68 (110) (1965), 274 – 281 (Russian). · Zbl 0145.32301
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