Cherskii, Yu. I.** On the integro-differential equation of Wiener–Hopf and its applications. *Izv. vyssh. ucheb. zavedenii. Matematika*, 1965, No. 2, pp. 188–200.
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Submitted 1966-01-01 | RussiaRxiv: ru-196601.03518 | Translated from Russian

Full Text

Cherskii, Yu. I. On the integro-differential equation of Wiener–Hopf and its applications. Izv. vyssh. ucheb. zavedenii. Matematika, 1965, No. 2, pp. 188–200.

Cherskii, Yu. I. On the solution of mixed problems for partial differential equations. Differents. uravneniya, 1965, vol. I, No. 5, pp. 647–662.

Chernyatin, V. A. On the study of a system of Riccati differential equations in the problem of the analytical construction of optimal regulators. Avtomatika i telemekhanika, 1965, 26, No. 5, pp. 770–781. Bibliography: 12 titles.

Chorbadzhiev, D. P. Application of nomographic methods to the solution of one quasilinear partial differential equation. Nomogr. sb. (Computing Center, Academy of Sciences of the USSR), 1965, No. 3, pp. 52–68.

Chuprikov, V. A. On the existence, uniqueness, and estimates of the solution of one boundary-value problem. Differents. uravneniya, 1965, vol. I, No. 7, pp. 933–945. Bibliography: 9 titles.

(To be continued in the next issue)

Compiled by A. R. SHAKUN

CORRECTIONS FOR THE JOURNAL “DIFFERENTIAL EQUATIONS” FOR 1965

Journal No. Page Line or formula Printed Should read
8 1042 formula (0.2) \(t\displaystyle\int_{0}^{t} A(t,\lambda)\,dt\) \(\exp\!\left(\displaystyle\int_{0}^{t} A(t,\lambda)\,dt\right)\)
» 1045 formula (2.5) \(\sqrt{(1-a(\lambda)^2-a^2(\lambda)}\) \(\sqrt{(1-a(\lambda))^2-a^2(\lambda)}\)
» 1048 13 from bottom we obtain we obtain the required result.
» 1048 9 from bottom \(\lambda(n(k))\) \(\gamma(n(k))\)
» 1048 14 from bottom \(\displaystyle\sum_{k=1}^{\infty}\left\|\displaystyle\int_{0}^{t}\right\| f_k(t)\,dt\,\lambda^k\left\|\right.\) \(\displaystyle\sum_{k=1}^{\infty}\left\|\displaystyle\int_{0}^{t} f_k(t)\,dt\,\lambda^k\right\|\)
» 1049 2 from bottom \(\lvert\omega_1\rvert<1\) \(\lvert\omega_1\rvert\ge 1\)
» 1050 15 from top \((k^r+1)\) \((2k^r+1)\)
» Formulas (4.5) and (5.3) are valid for \(\lvert m_1\rvert+\cdots+\lvert m_{n(k)}\rvert<N(k)\)
11 1499 1 from bottom \(x^{\,n-1}(t)\) \(x^{(\beta n-1)}(t)\)

AT 04224. Submitted for typesetting 29/XI-65. Signed for printing 27/I-66. Format 70×108 1/16.
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Submission history

Cherskii, Yu. I.** On the integro-differential equation of Wiener–Hopf and its applications. *Izv. vyssh. ucheb. zavedenii. Matematika*, 1965, No. 2, pp. 188–200.