Dil’na, N. Z.; Ronto, A. M. General conditions for the unique solvability of an initial-value problem for nonlinear functional differential equations. (Ukrainian, English) Zbl 1164.34476 Ukr. Mat. Zh. 60, No. 2, 167-172 (2008); translation in Ukr. Math. J. 60, No. 2, 191-198 (2008). MSC: 34K05 PDFBibTeX XMLCite \textit{N. Z. Dil'na} and \textit{A. M. Ronto}, Ukr. Mat. Zh. 60, No. 2, 167--172 (2008; Zbl 1164.34476); translation in Ukr. Math. J. 60, No. 2, 191--198 (2008) Full Text: DOI
Zernov, A. E.; Chajchuk, O. R. Qualitative investigation of a singular Cauchy problem for a functional differential equation. (Ukrainian, English) Zbl 1102.34049 Ukr. Mat. Zh. 57, No. 10, 1344-1358 (2005); translation in Ukr. Math. J. 57, No. 10, 1571-1589 (2005). MSC: 34K05 34A09 PDFBibTeX XMLCite \textit{A. E. Zernov} and \textit{O. R. Chajchuk}, Ukr. Mat. Zh. 57, No. 10, 1344--1358 (2005; Zbl 1102.34049); translation in Ukr. Math. J. 57, No. 10, 1571--1589 (2005) Full Text: DOI
Dil’naya, N. Z.; Ronto, A. N. Some new conditions for the solvability of the Cauchy problem for systems of linear functional-differential equations. (Russian, English) Zbl 1078.34044 Ukr. Mat. Zh. 56, No. 7, 867-884 (2004); translation in Ukr. Math. J. 56, No. 7, 1033-1053 (2004). MSC: 34K06 PDFBibTeX XMLCite \textit{N. Z. Dil'naya} and \textit{A. N. Ronto}, Ukr. Mat. Zh. 56, No. 7, 867--884 (2004; Zbl 1078.34044); translation in Ukr. Math. J. 56, No. 7, 1033--1053 (2004) Full Text: DOI
Ronto, A. N. Exact solvability conditions for the Cauchy problem for systems of first-order linear functional-differential equations determined by \((\sigma_1,\sigma_2,\dots,\sigma_n;\tau)\)-positive operators. (Russian, English) Zbl 1079.34051 Ukr. Mat. Zh. 55, No. 11, 1541-1568 (2003); translation in Ukr. Math. J. 55, No. 11, 1853-1884 (2003). MSC: 34K06 PDFBibTeX XMLCite \textit{A. N. Ronto}, Ukr. Mat. Zh. 55, No. 11, 1541--1568 (2003; Zbl 1079.34051); translation in Ukr. Math. J. 55, No. 11, 1853--1884 (2003) Full Text: DOI
Malyshev, K. I.; Tikhonenko, N. Ya. Direct methods for the approximate solution of operator equations with nonzero kernels. (English. Russian original) Zbl 0941.34074 Ukr. Math. J. 50, No. 9, 1376-1388 (1998); translation from Ukr. Mat. Zh. 50, No. 9, 1202-1213 (1998). MSC: 34K30 65D15 34K10 65J05 PDFBibTeX XMLCite \textit{K. I. Malyshev} and \textit{N. Ya. Tikhonenko}, Ukr. Mat. Zh. 50, No. 9, 1202--1213 (1998; Zbl 0941.34074); translation from Ukr. Mat. Zh. 50, No. 9, 1202--1213 (1998) Full Text: DOI
Kalenyuk, P. I.; Nitrebich, Z. M. A scheme of separation of variables for a bilinear matrix functional equation and its application. (Ukrainian. Russian summary) Zbl 0777.39004 Ukr. Mat. Zh. 44, No. 9, 1201-1209 (1992). Reviewer: I.Gumowski (Thoiry) MSC: 39B42 35A25 35C99 PDFBibTeX XMLCite \textit{P. I. Kalenyuk} and \textit{Z. M. Nitrebich}, Ukr. Mat. Zh. 44, No. 9, 1201--1209 (1992; Zbl 0777.39004) Full Text: DOI
Kalenyuk, P. I.; Nitrebich, Z. M. Method for separation of variables for a bilinear matrix functional equation and its application. (English. Ukrainian original) Zbl 0791.39010 Ukr. Math. J. 44, No. 9, 1099-1107 (1992); translation from Ukr. Mat. Zh. 44, No. 9, 1201-1209 (1992). MSC: 39B42 35A25 35C99 PDFBibTeX XMLCite \textit{P. I. Kalenyuk} and \textit{Z. M. Nitrebich}, Ukr. Mat. Zh. 44, No. 9, 1201--1209 (1992; Zbl 0791.39010); translation from Ukr. Mat. Zh. 44, No. 9, 1201--1209 (1992) Full Text: DOI