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Found 30 Documents (Results 1–30)

Introduction to complex theory of differential equations. (English) Zbl 1384.58002

Frontiers in Mathematics. Basel: Birkhäuser/Springer (ISBN 978-3-319-51743-8/pbk; 978-3-319-51744-5/ebook). x, 138 p. (2017).
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Differential equations on complex manifolds. (English) Zbl 1335.32029

Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Cham: Birkhäuser/Springer (ISBN 978-3-319-18211-7/hbk; 978-3-319-18212-4/ebook). Trends in Mathematics, 273-292 (2015).
MSC:  32W50 58J32 35E99
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Analytic continuation of fundamental solutions of elliptic equations. (English. Russian original) Zbl 0929.35034

Differ. Equations 33, No. 8, 1130-1140 (1997); translation from Differ. Uravn. 33, No. 8, 1123-1133 (1997).
MSC:  35J30 35A08 47F05
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Analytic continuation of solutions of integral equations and localization of singularities. (English. Russian original) Zbl 0897.45001

Differ. Equations 32, No. 11, 1541-1549 (1996); translation from Differ. Uravn. 32, No. 11, 1544-1553 (1996).
MSC:  45B05 30E20 30B40
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The Schwarz potential and singularities of solutions to the branching Cauchy problem. (English. Russian original) Zbl 0881.31006

Dokl. Math. 51, No. 2, 215-217 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 341, No. 3, 307-309 (1995).
MSC:  31B15 35J30
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On a new integral representation of ramified analytic functions. (English. Russian original) Zbl 0844.32006

Russ. Acad. Sci., Izv., Math. 44, No. 3, 645-658 (1995); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 58, No. 3, 211-224 (1994).
MSC:  32A25 32C30
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A ramified Cauchy problem for operators having Hamiltonian rest points. (English. Russian original) Zbl 0823.58034

Russ. Acad. Sci., Dokl., Math. 47, No. 3, 468-473 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 3, 294-297 (1993).
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Analytic singularities of solutions of differential equations. (English) Zbl 0792.58039

Kashiwara, Masaki (ed.) et al., D-modules and microlocal geometry. Proceedings of the international conference, held at the University of Lisbon, Portugal, Oct. 29-Nov. 2, 1990. Berlin: Walter de Gruyter. 187-198 (1993).
MSC:  58J47 32S40 35A07
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On an integral transform of complex-analytic functions. (English. Russian original) Zbl 0806.35004

Proc. Steklov Inst. Math. 193, 193-196 (1993); translation from Tr. Mat. Inst. Steklova 193, 174-177 (1992).
Reviewer: J.Fuka (Praha)
MSC:  35A22 32A25
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On the Cauchy problem for differential equations in spaces of resurgent functions. (English. Russian original) Zbl 0804.35019

Russ. Acad. Sci., Izv., Math. 40, No. 1, 67-94 (1993); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 56, No. 1, 75-104 (1992).
MSC:  35C20 35G25
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On the global solvability of the Cauchy problem in spaces of ramified analytic functions. (English. Russian original) Zbl 0806.35002

Sov. Math., Dokl. 44, No. 3, 836-838 (1992); translation from Dokl. Akad. Nauk SSSR 321, No. 5, 910-913 (1991).
Reviewer: J.Fuka (Praha)
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Asymptotic expansions “in the large” of solutions of the complex Cauchy problem with singular initial data. (English. Russian original) Zbl 0798.58076

Sov. Math., Dokl. 44, No. 3, 674-677 (1992); translation from Dokl. Akad. Nauk SSSR 321, No. 2, 250-253 (1991).
Reviewer: N.Jacob (Erlangen)
MSC:  58J47 58J37 35G10
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On the notion of elementary solution in the complex theory of differential equations. (English. Russian original) Zbl 0789.35005

Sov. Math., Dokl. 44, No. 2, 567-571 (1992); translation from Dokl. Akad. Nauk SSSR 320, No. 4, 825-829 (1991).
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Differential equations on complex-analytic manifolds, and the Maslov canonical operator. (English. Russian original) Zbl 0699.35031

Russ. Math. Surv. 43, No. 3, 117-148 (1988); translation from Usp. Mat. Nauk 43, No. 3(261), 99-124 (1988).
MSC:  35C20 35A20 35S10
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On an integral representation and the associated transform of analytic functions of several complex variables. (English. Russian original) Zbl 0688.32006

Sov. Math., Dokl. 37, No. 1, 38-41 (1988); translation from Dokl. Akad. Nauk SSSR 298, No. 1, 44-48 (1988).
Reviewer: K.Spallek
MSC:  32A25 44A10 42B10
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The Laplace-Radon integral transform and its application to an inhomogeneous Cauchy problem in a complex space. (English. Russian original) Zbl 0666.44004

Differ. Equations 24, No. 1, 131-137 (1988); translation from Differ. Uravn. 24, No. 1, 167-174 (1988).
Reviewer: J.Souček
MSC:  44A15 44A10 34A25
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On an integral transform of complex analytic functions. (English. Russian original) Zbl 0634.44002

Math. USSR, Izv. 29, 407-427 (1987); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 50, No. 5, 1054-1076 (1986).
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