Koval’chik, I. M.; Koval’chik, Yu. I. On the Feynman integral in the space of continuous functions defined on a compact set. III. (English. Russian original) Zbl 0949.28010 J. Math. Sci., New York 96, No. 1, 2834-2837 (1999); translation from Mat. Metody Fiz.-Mekh. Polya 40, No. 3, 45-49 (1997). Reviewer: A. A. Martynyuk (Kyïv) MSC: 28C20 46G12 PDFBibTeX XMLCite \textit{I. M. Koval'chik} and \textit{Yu. I. Koval'chik}, Mat. Metody Fiz.-Mekh. Polya 40, No. 3, 45--49 (1997; Zbl 0949.28010); translation from Mat. Metody Fiz.-Mekh. Polya 40, No. 3, 45--49 (1997)
Koval’chik, I. M.; Koval’chik, Yu. I. On the Feynman integral in the space of continuous functions defined on a compact set. II. (English. Russian original) Zbl 0949.28009 J. Math. Sci., New York 90, No. 2, 1923-1927 (1998); translation from Mat. Metody Fiz.-Mekh. Polya 40, No. 2, 25-30 (1997). Reviewer: A. A. Martynyuk (Kyïv) MSC: 28C20 46G12 PDFBibTeX XMLCite \textit{I. M. Koval'chik} and \textit{Yu. I. Koval'chik}, Mat. Metody Fiz.-Mekh. Polya 40, No. 2, 25--30 (1997; Zbl 0949.28009); translation from Mat. Metody Fiz.-Mekh. Polya 40, No. 2, 25--30 (1997)
Koval’chik, I. M. On the method of variation of parameters for equations with functional derivatives. (English) Zbl 1267.46058 J. Sov. Math. 67, No. 5, 3269-3273 (1993); translation from Mat. Metody Fiz.-Mekh. Polya, No. 36, 13–18 (1992). MSC: 46G05 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, J. Sov. Math. 67, No. 5, 3269--3273 (1993; Zbl 1267.46058); translation from Mat. Metody Fiz.-Mekh. Polya, No. 36, 13--18 (1992) Full Text: DOI
Koval’chik, I. M. Computation of certain continuous integrals in the space of continuous functions defined on a compact set. (English) Zbl 1267.46059 J. Sov. Math. 66, No. 6, 2579-2582 (1993); translation from Mat. Metody Fiz.-Mekh. Polya, No. 34, 35–39 (1991). MSC: 46G12 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, J. Sov. Math. 66, No. 6, 2579--2582 (1993; Zbl 1267.46059); translation from Mat. Metody Fiz.-Mekh. Polya, No. 34, 35--39 (1991) Full Text: DOI
Koval’chik, I. M. On a class of linear differential equations in functional derivatives. (Ukrainian. English, Russian summaries) Zbl 0781.34041 Dopov. Akad. Nauk Ukr. 1993, No. 2, 13-17 (1993). MSC: 34G10 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Dopov. Akad. Nauk Ukr. 1993, No. 2, 13--17 (1993; Zbl 0781.34041)
Koval’chik, I. M. On the solvability of linear equations in a functional space. (Russian. English summary) Zbl 0743.34065 Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1991, No. 5, 20-25 (1991). Reviewer: R.Manthey (Jena) MSC: 34G10 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1991, No. 5, 20--25 (1991; Zbl 0743.34065)
Koval’chik, I. M.; Yanovich, L. A. The generalized Wiener integral and some of its applications. (Obobshchennyj vinerovskij integral i nekotorye ego prilozheniya.) (Russian) Zbl 0701.60047 Institut Matematiki AN BSSR. Minsk: Nauka i Tekhnika. 223 p. R. 2.60 (1989). Reviewer: J.M.Stoyanov MSC: 60H05 28C20 60-02 28-02 PDFBibTeX XMLCite \textit{I. M. Koval'chik} and \textit{L. A. Yanovich}, Obobshchennyj vinerovskij integral i nekotorye ego prilozheniya (Russian). Minsk: Nauka i Tekhnika (1989; Zbl 0701.60047)
Koval’chik, I. M. On the Volterra and Fredholm transformations of integrals with respect to the generalized Wiener measure. (Russian) Zbl 0709.28010 Methods for the investigations of differential and integral operators, Collect. Sci. Works, Kiev, 98-103 (1989). Reviewer: N.Angelescu MSC: 28C20 47G10 PDFBibTeX XML
Koval’chik, I. M. A nonlinear transformation of Gaussian measures. (English. Russian original) Zbl 0793.60047 J. Sov. Math. 65, No. 6, 1927-1930 (1993); translation from Mat. Metody Fiz.-Mekh. Polya 25, 13-16 (1987). MSC: 60G60 60G15 60G30 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, J. Sov. Math. 65, No. 6, 1 (1987; Zbl 0793.60047); translation from Mat. Metody Fiz.-Mekh. Polya 25, 13--16 (1987) Full Text: DOI
Koval’chik, I. M. A nonlinear transformation of Gaussian measures. (Russian) Zbl 0671.60048 Mat. Metody Fiz.-Mekh. Polya 25, 13-16 (1987). Reviewer: O.Dumbrajs MSC: 60G60 60G15 60G30 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Mat. Metody Fiz.-Mekh. Polya 25, 13--16 (1987; Zbl 0671.60048)
Koval’chik, I. M. On the computation of the means of functionals which are functions of linear functionals. (Russian) Zbl 0609.60062 Otbor Peredacha Inf. 71, 11-16 (1985). Reviewer: Z.Piranashvili MSC: 60G57 60H05 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Otbor Peredacha Inf. 71, 11--16 (1985; Zbl 0609.60062)
Koval’chik, I. M. Integrals of variations and functional derivatives over Gaussian measures in the product of spaces of continuous functions. (Russian) Zbl 0568.28011 Mat. Metody Fiz.-Mekh. Polya 22, 14-16 (1985). Reviewer: O.Dumbrajs MSC: 28C20 46G12 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Mat. Metody Fiz.-Mekh. Polya 22, 14--16 (1985; Zbl 0568.28011)
Koval’chik, I. M. A quasilinear operator equation and an integral with respect to Gauss’ measure. (Russian) Zbl 0541.47045 Mat. Metody Fiz.-Mekh. Polya 20, 3-5 (1984). Reviewer: G.Stiller MSC: 47J25 28C20 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Mat. Metody Fiz.-Mekh. Polya 20, 3--5 (1984; Zbl 0541.47045)
Koval’chik, I. M. On the relationship between linear operator equations and an integral with respect to Gaussian measure. (Russian) Zbl 0576.60054 Vestn. L’vov. Politekh. Inst. 172, 62-63 (1983). Reviewer: G.Stiller MSC: 60H25 28C20 47A10 47A50 PDFBibTeX XML
Koval’chik, I. M. Error estimation of an approximation of the integral with respect to Wiener’s measure. (Russian) Zbl 0522.28011 Mat. Metody Fiz.-Mekh. Polya 17, 14-16 (1983). MSC: 28C20 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Mat. Metody Fiz.-Mekh. Polya 17, 14--16 (1983; Zbl 0522.28011)
Koval’chik, I. M. A formula for the calculation of Wiener integrals. (Russian) Zbl 0506.28009 Mat. Metody Fiz.-Mekh. Polya 16, 9-14 (1982). MSC: 28C20 16L30 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Mat. Metody Fiz.-Mekh. Polya 16, 9--14 (1982; Zbl 0506.28009)
Koval’chik, I. M. Representation of the solution of the Cauchy problem for the telegraph equation in the form of a continuous integral. (Russian) Zbl 0475.35024 Mat. Metody Fiz.-Mekh. Polya 14, 8-11 (1981). MSC: 35C15 35L70 35Q99 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Mat. Metody Fiz.-Mekh. Polya 14, 8--11 (1981; Zbl 0475.35024)
Koval’chik, I. M. Linear operator equations and the functional integral with respect to Gaussian measure. (English) Zbl 0459.60054 Theory Probab. Math. Stat. 22, 73-85 (1981). MSC: 60H25 60G15 47A50 47Gxx 47E05 28C20 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Theory Probab. Math. Stat. 22, 73--85 (1981; Zbl 0459.60054)
Koval’chik, I. M. Several remarks on the connection between linear operator equations and an integral with respect to Gaussian measure. (Russian) Zbl 0482.47007 Vestn. L’vov. Politekh. Inst. 141, 44-45 (1980). MSC: 47A62 47A50 47B38 46G12 PDFBibTeX XML
Kovalchik, I. M. Linear operator equations and continual integral on Gaussian measure. (Russian) Zbl 0425.60059 Teor. Veroyatn. Mat. Stat. 22, 66-78 (1980). MSC: 60H25 60G15 PDFBibTeX XML
Koval’chik, I. M. Evaluation of multiple Wiener integrals for some classes of functionals. (Ukrainian) Zbl 0424.28013 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1979, 11-14 (1979). MSC: 28C20 41A55 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1979, 11--14 (1979; Zbl 0424.28013)
Koval’chik, I. M. On some properties of linear homogeneous variational derivative equations. (Russian) Zbl 0413.35002 Mat. Metody Fiz.-Mekh. Polya 9, 28-31 (1979). MSC: 35A15 49J20 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Mat. Metody Fiz.-Mekh. Polya 9, 28--31 (1979; Zbl 0413.35002)
Koval’chik, I. M. Orthogonale Transformation in einem Produktraum aus stetigen Funktionenräumen. (Russian) Zbl 0447.28012 Mat. Metody Fiz.-Mekh. Polya 8, 27-33 (1978). MSC: 28C20 45F05 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Mat. Metody Fiz.-Mekh. Polya 8, 27--33 (1978; Zbl 0447.28012)
Koval’chik, I. M.; Medynskij, I. P. On a class of linear equations in functional derivatives of higher order. (Ukrainian) Zbl 0424.45014 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1978, 1083-1086 (1978). MSC: 45K05 35K05 47A60 PDFBibTeX XMLCite \textit{I. M. Koval'chik} and \textit{I. P. Medynskij}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1978, 1083--1086 (1978; Zbl 0424.45014)
Koval’cik, I. M. Representation of the solutions for some equations with functional derivatives by means of Wiener integrals. (Ukrainian) Zbl 0402.35022 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1978, 1078-1083 (1978). MSC: 35G10 35L15 35C15 PDFBibTeX XMLCite \textit{I. M. Koval'cik}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1978, 1078--1083 (1978; Zbl 0402.35022)
Danilovich, V. P.; Koval’chik, I. M. On the approximate computation of functional integrals. (English) Zbl 0451.60061 Theory Probab. Math. Stat. 14, 23-32 (1977). MSC: 60H05 41A55 28C20 PDFBibTeX XMLCite \textit{V. P. Danilovich} and \textit{I. M. Koval'chik}, Theory Probab. Math. Stat. 14, 23--32 (1977; Zbl 0451.60061)
Danilovic, V. P.; Koval’cik, I. M. Cauchy’s formula for linear equations involving functional derivatives. (English) Zbl 0396.34050 Differ. Equations 13, 1051-1054 (1977). MSC: 34G10 PDFBibTeX XMLCite \textit{V. P. Danilovic} and \textit{I. M. Koval'cik}, Differ. Equations 13, 1051--1054 (1977; Zbl 0396.34050)
Danilovic, V. P.; Koval’cik, I. M. Cauchysche Formel für lineare Gleichungen mit funktionalen Ableitungen. (Russian) Zbl 0377.34035 Differ. Uravn. 13, 1509-1511 (1977). MSC: 34G99 PDFBibTeX XMLCite \textit{V. P. Danilovic} and \textit{I. M. Koval'cik}, Differ. Uravn. 13, 1509--1511 (1977; Zbl 0377.34035)
Danilovic, V. P.; Kovalcik, I. M. On approximate calculation of continual integrals. (Russian) Zbl 0398.60059 Teor. Veroyatn. Mat. Stat. 14, 25-34 (1976). MSC: 60H05 PDFBibTeX XML
Koval’cik, I. M. Eine Bemerkung über ein Integral im Raum der Folgen mit Gaußschem Maß. (Russian) Zbl 0388.28015 Math. Collect., Acad. Sci. Ukr. SSR, Inst. Math. 231-234 (1976). MSC: 28C20 46A45 PDFBibTeX XML
Danilovic, V. P.; Koval’cik, I. M. Über die Näherungsberechnung kontinuierlicher Integrale. (Russian) Zbl 0347.41021 Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1976, No. 6, 102-105 (1976). MSC: 41A55 60G99 PDFBibTeX XMLCite \textit{V. P. Danilovic} and \textit{I. M. Koval'cik}, Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk 1976, No. 6, 102--105 (1976; Zbl 0347.41021)
Koval’cik, I. M. Linear equations with functional derivatives. (English. Russian original) Zbl 0328.34057 Ukr. Math. J. 27(1975), 301-304 (1976); translation from Ukr. Mat. Zh. 27, 373-378 (1975). MSC: 34G99 47A50 PDFBibTeX XMLCite \textit{I. M. Koval'cik}, Ukr. Math. J. 27, 301--304 (1976; Zbl 0328.34057); translation from Ukr. Mat. Zh. 27, 373--378 (1975) Full Text: DOI
Koval’cik, I. M. Kontinuierliches Integral im Raum C\(_2\) von Ausdrücken, die ein quadratisches Funktional enthalten. (Ukrainian) Zbl 0273.28006 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1974, 110-113 (1974). MSC: 28C20 46G99 PDFBibTeX XMLCite \textit{I. M. Koval'cik}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1974, 110--113 (1974; Zbl 0273.28006)
Koval’cik, I. M. Solvability conditions for linear equations in a space of functionals. (English. Russian original) Zbl 0298.34059 Sov. Phys., Dokl. 18, 801-802 (1973); translation from Dokl. Akad. Nauk SSSR 213, 1051-1054 (1973). MSC: 34G99 47A50 PDFBibTeX XMLCite \textit{I. M. Koval'cik}, Sov. Phys., Dokl. 18, 801--802 (1973; Zbl 0298.34059); translation from Dokl. Akad. Nauk SSSR 213, 1051--1054 (1973)
Koval’cik, I. M. Über ein mehrfaches kontinuierliches Integral im Raum der stetigen Funktionen von zwei Veränderlichen. (Ukrainian) Zbl 0239.35063 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 604-608 (1972). MSC: 35L60 35C15 PDFBibTeX XMLCite \textit{I. M. Koval'cik}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 604--608 (1972; Zbl 0239.35063)
Koval’chik, I. M. Linear systems and equations with periodic coefficients in the function space. (Ukrainian) Zbl 0234.34073 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 319-321 (1972). MSC: 34G10 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1972, 319--321 (1972; Zbl 0234.34073)
Koval’chik, I. M. On systems of equations in a function space. (English. Russian original) Zbl 0231.47007 Sov. Math., Dokl. 12, 428-431 (1971); translation from Dokl. Akad. Nauk SSSR 197, 265-267 (1971). MSC: 47A50 34A30 34G99 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Sov. Math., Dokl. 12, 428--431 (1971; Zbl 0231.47007); translation from Dokl. Akad. Nauk SSSR 197, 265--267 (1971)
Koval’chik, I. M. Multiple continual integral and characteristic problem for a certain system of differential equations. (Ukrainian) Zbl 0216.38103 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1971, 303-306 (1971). MSC: 35L55 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1971, 303--306 (1971; Zbl 0216.38103)
Koval’chik, I. M. Linear equations with functional derivatives. (English. Russian original) Zbl 0213.41202 Sov. Math., Dokl. 11, 1287-1290 (1970); translation from Dokl. Akad. Nauk SSSR 194, 763-766 (1970). MSC: 47A60 47E05 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Sov. Math., Dokl. 11, 1287--1290 (1970; Zbl 0213.41202); translation from Dokl. Akad. Nauk SSSR 194, 763--766 (1970)
Koval’chik, I. M. On the Wiener integral in the space of continuous functions of two variables. (Ukrainian) Zbl 0177.39701 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1967, 782-786 (1967). PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1967, 782--786 (1967; Zbl 0177.39701)
Koval’chik, I. M. Die Gleichung \(\delta u (\varphi, \psi)/\delta\psi (t) =\delta^ 2 u (\varphi, \psi)/\delta\varphi^ 2 (t)+ p(\varphi, \psi, t) u (\varphi, \psi)\) und kontinuierliche Integrale. (Ukrainian) Zbl 0168.11604 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1967, 214-217 (1967). PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1967, 214--217 (1967; Zbl 0168.11604)
Koval’chik, I. M.; Kozak, P. P. On the connection of a certain equation of a hyperbolic type with the Wiener integral in a space of continuous functions of two variables. (Ukrainian. Russian, English summaries) Zbl 0167.10202 Dopov. Akad. Nauk Ukr. RSR, Ser. A 1967, 586-589 (1967). MSC: 35Lxx PDFBibTeX XMLCite \textit{I. M. Koval'chik} and \textit{P. P. Kozak}, Dopov. Akad. Nauk Ukr. RSR, Ser. A 1967, 586--589 (1967; Zbl 0167.10202)
Koval’chik, I. M. Das Cauchysche Problem für eine Gleichung in Funktionalableitungen. (Ukrainian) Zbl 0168.11603 Dopov. Akad. Nauk Ukr. RSR 1966, 284-285 (1966). PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Dopov. Akad. Nauk Ukr. RSR 1966, 284--285 (1966; Zbl 0168.11603)
Koval’chik, I. M. Über die effektive Berechnung einer Klasse von Wienerschen Integralen. (Ukrainian) Zbl 0166.40302 Dopov. Akad. Nauk Ukr. RSR 1965, 265-267 (1965). PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Dopov. Akad. Nauk Ukr. RSR 1965, 265--267 (1965; Zbl 0166.40302)
Koval’cik, I. M. Einige Sätze über das Wiener-Integral im Raum der stetigen Funktionen mehrerer Veränderlichen. (Ukrainian) Zbl 0192.23401 Dopov. Akad. Nauk Ukr. RSR 1964, 1426-1429 (1964). PDFBibTeX XMLCite \textit{I. M. Koval'cik}, Dopov. Akad. Nauk Ukr. RSR 1964, 1426--1429 (1964; Zbl 0192.23401)
Koval’chik, I. M. The Wiener integral. (English. Russian original) Zbl 0195.14604 Russ. Math. Surv. 18, No. 1, 97-134 (1963); translation from Usp. Mat. Nauk 18, No. 1, 97-134 (1963). PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Russ. Math. Surv. 18, No. 1, 97--134 (1963; Zbl 0195.14604); translation from Usp. Mat. Nauk 18, No. 1, 97--134 (1963) Full Text: DOI
Koval’cik, I. M. Über die Darstellung einer Lösung des Cauchyschen Problems für eine Gleichung im Banach-Raum in Form eines kontinuierlichen Integrals. (Ukrainian) Zbl 0192.23804 Dopov. Akad. Nauk Ukr. RSR 1961, 1254-1258 (1961). PDFBibTeX XMLCite \textit{I. M. Koval'cik}, Dopov. Akad. Nauk Ukr. RSR 1961, 1254--1258 (1961; Zbl 0192.23804)
Koval’chik, I. M. A theorem for Wiener integrals. (Ukrainian. Russian summary) Zbl 0127.02503 Dopov. Akad. Nauk Ukr. RSR 1961, 1543-1546 (1961). Reviewer: A. M. Vershik (R. Zh. Mat. 1962, 6Б515) MSC: 28A25 PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Dopov. Akad. Nauk Ukr. RSR 1961, 1543--1546 (1961; Zbl 0127.02503)
Koval’chik, I. M. Representation of the solution to Cauchy’s problem for a parabolic system by a Wiener integral. (English. Russian original) Zbl 0103.31402 Sov. Math., Dokl. 2, 824-826 (1961); translation from Dokl. Akad. Nauk SSSR 138, 1284-1286 (1961). PDFBibTeX XMLCite \textit{I. M. Koval'chik}, Sov. Math., Dokl. 2, 824--826 (1961; Zbl 0103.31402); translation from Dokl. Akad. Nauk SSSR 138, 1284--1286 (1961)
Kovalchik, I. M. Some transformations of multiple Wiener integrals. (Russian. English summary) Zbl 0094.09203 Ukr. Mat. Zh. 12, 25-31 (1960). PDFBibTeX XMLCite \textit{I. M. Kovalchik}, Ukr. Mat. Zh. 12, 25--31 (1960; Zbl 0094.09203)