Literature cited
L. É. Él'sgol'ts, “Integration of partial differential equations with delayed arguments,” Uch. Zap. MGU,8, No. 181, 57–59 (1956).
L. É. Él'sgol'ts, Qualitative Methods in Mathematical Analysis [in Russian], Gostekhizdat, Moscow (1955).
L. É. Él'sgol'ts, “Form of the general solution of certain linear steady-state equations with deviating arguments,” Vestnik MGU, Ser. Matem., No. 6 (1961).
L. É. Él'sgol'ts, Introduction to the Theory of Differential Equations with Deviating Arguments [in Russian], Izd. Nauka, Moscow (1964).
P. K. C. Wang and M. L. Bandy, “Stability of distributed-parameter processes with time-delays,” J. Electron, and Control,15, No. 4, 343–362 (1963).
I. M. Gul', “Cauchy problem for certain partial differential equations with functional arguments,” Usp Matem. Nauk, No. 2, 153–156 (1955).
I. M. Gul', “Partial differential equations with functional arguments,” Transactions of the Seminar on Equations with Deviating Arguments [in Russian], Vol. 1, Izd. Univ. Druzhby Narodov (1962), pp. 94–102.
V. R. Petukhov, “Cauchy problem for partial differential equations with delayed arguments in the Hilbert space”, Izv. Vuzov, Matematika, No. 6, 195–202 (1960).
D. Mangeron and L. E. Krivosein, “Volutatizione dei moduli delle soluzioni dei problemi al contorno non lineari spettanti ai sistemi polivibranti con rimanenze ed argomenti ritardati,” Atti Accad. Naz. Lincei. Rend. Cl. Sci. Fis., Mat. e Natur.,39, Nos. 1–2, 29–36 (1965).
Z. I. Rekhlitskii, “Estimates of the growth of solutions of hyperbolic partial differential-difference equations,” Dokl. Akad. Nauk SSSR,162, No. 4 (1965).
Z. I. Rekhlitskii, “Investigation of the Exponential Growth of solutions of second-order partial differential equations with delayed arguments,” Dif. Ur., No. 4 (1966).
I. G. Petrovskii, Lectures on Partial Differential Equations [in Russian], Fizmatgiz, Moscow (1961).
R. Courant, Partial Differential Equations [Russian translation], Izd. Mir. Moscow (1964).
L. A. Lyusternik and V. I. Sobolev, Elements of Functional Analysis [in Russian], Izd. Nauka, Moscow (1965).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 19, No. 4, pp. 57–66, July–August, 1967.
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Korenevskii, D.G., Feshchenko, S.F. Systems with distributed parameters and time delays. Ukr Math J 19, 429–436 (1967). https://doi.org/10.1007/BF01090402
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DOI: https://doi.org/10.1007/BF01090402