Trenogin, V. A. (ed.); Filippov, A. (ed.) Nonlinear analysis and nonlinear differential equations. (Nelineĭnyĭ analiz i nelineĭnye differentsial’nye uravneniya.) (Russian) Zbl 1016.00019 Moskva: FIZMATLIT. 464 p. (2003). MSC: 00B25 35-06 PDFBibTeX XMLCite \textit{V. A. Trenogin} (ed.) and \textit{A. Filippov} (ed.), Nelineĭnyĭ analiz i nelineĭnye differentsial'nye uravneniya (Russian). Moskva: FIZMATLIT (2003; Zbl 1016.00019)
Arnol’d, V. I.; Vishik, M. I.; Il’yashenko, Yu. S.; Kalashnikov, A. S.; Kondrat’ev, V. A.; Kruzhkov, S. N.; Landis, E. M.; Millionshchikov, V. M.; Oleĭnik, O. A.; Filippov, A. F.; Shubin, M. A. Some unsolved problems in the theory of differential equations and mathematical physics. (English. Russian original) Zbl 0703.35002 Russ. Math. Surv. 44, No. 4, 157-171 (1989); translation from Usp. Mat. Nauk 44, No. 4(268), 191-202 (1989). Reviewer: Ju.V.Kostarchuk MSC: 35-02 34-02 PDFBibTeX XMLCite \textit{V. I. Arnol'd} et al., Russ. Math. Surv. 44, No. 4, 157--171 (1989; Zbl 0703.35002); translation from Usp. Mat. Nauk 44, No. 4(268), 191--202 (1989) Full Text: DOI
Filippov, A. F. Singularities on wavefronts, arising on diffraction by a polyhedron. (English) Zbl 0462.35002 U.S.S.R. Comput. Math. Math. Phys. 20, No. 2, 202-212 (1980). MSC: 35A20 35L05 PDFBibTeX XMLCite \textit{A. F. Filippov}, U.S.S.R. Comput. Math. Math. Phys. 20, No. 2, 202--212 (1980; Zbl 0462.35002) Full Text: DOI
Filippov, A. F. Singularitäten auf Wellenfronten, die bei der Diffraktion an einem Polyeder entstehen. (Russian) Zbl 0443.35005 Zh. Vychisl. Mat. Mat. Fiz. 20, 471-481 (1980). MSC: 35A20 35L05 PDFBibTeX XMLCite \textit{A. F. Filippov}, Zh. Vychisl. Mat. Mat. Fiz. 20, 471--481 (1980; Zbl 0443.35005)
Filippov, A. F. Diffraction by polyhedra. (Russian) Zbl 0499.35017 Partial differential equations, Proc. All-Union Conf., Moscow 1976, dedic. I. G. Petrovskij, 236-238 (1978). MSC: 35C15 78A45 PDFBibTeX XML
Filippov, A. F. Integral representations of solutions of the two-dimensional wave equation and diffraction problems. (English) Zbl 0381.35050 U.S.S.R. Comput. Math. Math. Phys. 17(1977), No. 3, 153-163 (1978). MSC: 35L05 35C15 35L67 PDFBibTeX XMLCite \textit{A. F. Filippov}, U.S.S.R. Comput. Math. Math. Phys. 17, No. 3, 153--163 (1978; Zbl 0381.35050) Full Text: DOI
Filippov, A. F. A boundary-value problem for the wave equation. (English) Zbl 0395.35050 Differ. Equations 13, 1423-1429 (1977). MSC: 35L05 35L20 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equations 13, 1423--1429 (1977; Zbl 0395.35050)
Filippov, A. F. Über ein Randwertproblem für die Wellengleichung. (Russian) Zbl 0385.35034 Differ. Uravn. 13, 2043-2050 (1977). MSC: 35L05 35D05 35L20 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Uravn. 13, 2043--2050 (1977; Zbl 0385.35034)
Filippov, A. F. The integral representations of solutions of the two-dimensional wave equation and diffractional problems. (Russian) Zbl 0368.35041 Zh. Vychisl. Mat. Mat. Fiz. 17, 718-728 (1977). MSC: 35L05 35C15 PDFBibTeX XMLCite \textit{A. F. Filippov}, Zh. Vychisl. Mat. Mat. Fiz. 17, 718--728 (1977; Zbl 0368.35041)
Filippov, A. F. Smoothness of generalized solutions close to vertices of polyhedral angles. (English) Zbl 0306.35040 Differ. Equations 9(1973), 1453-1465 (1975). MSC: 35J25 35D10 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equations 9, 1453--1465 (1975; Zbl 0306.35040)
Filippov, A. F. Glattheit der verallgemeinerten Lösungen in der Nähe des Scheitels einer polyedralen Ecke. (Russian) Zbl 0272.35026 Differ. Uravn. 9, 1889-1903 (1973). MSC: 35J25 35D10 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Uravn. 9, 1889--1903 (1973; Zbl 0272.35026)
Il’in, V. A.; Filippov, A. F. The nature of the spectrum of a selfadjoint extension of the Laplace operator in a bounded region (fundamental systems of functions with an arbitrary preassigned subsequence of fundamental numbers). (English. Russian original) Zbl 0209.41302 Sov. Math., Dokl. 11, 339-342 (1970); translation from Dokl. Akad. Nauk SSSR 191, 267-269 (1970). MSC: 35P05 35J05 47A20 PDFBibTeX XMLCite \textit{V. A. Il'in} and \textit{A. F. Filippov}, Sov. Math., Dokl. 11, 339--342 (1970; Zbl 0209.41302); translation from Dokl. Akad. Nauk SSSR 191, 267--269 (1970)