Filippov, A. F. Uniqueness of the solution of a system of differential equations unsolved for the derivatives. (English. Russian original) Zbl 1088.34500 Differ. Equ. 41, No. 1, 90-95 (2005); translation from Differ. Uravn. 41, No. 1, 87-92 (2005). Reviewer: Georgii P. Razmyslovich (Minsk) MSC: 34A09 34A12 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equ. 41, No. 1, 90--95 (2005; Zbl 1088.34500); translation from Differ. Uravn. 41, No. 1, 87--92 (2005) Full Text: DOI
Zolotareva, N. D.; Filippov, A. F. Estimates of local and global errors of the Störmer method for systems of equations. (Russian, English) Zbl 1076.65074 Zh. Vychisl. Mat. Mat. Fiz. 44, No. 1, 111-122 (2004); translation in Comput. Math. Math. Phys. 44, No. 1, 100-111 (2004). Reviewer: Sergei Zhuravlev (Moskva) MSC: 65L70 65L05 34A34 PDFBibTeX XMLCite \textit{N. D. Zolotareva} and \textit{A. F. Filippov}, Zh. Vychisl. Mat. Mat. Fiz. 44, No. 1, 111--122 (2004; Zbl 1076.65074); translation in Comput. Math. Math. Phys. 44, No. 1, 100--111 (2004)
Filippov, A. F. Differential equations with discontinuous right-hand sides, and differential inclusions. (Russian) Zbl 1098.34006 Trenogin, V.A. (ed.) et al., Nonlinear analysis and nonlinear differential equations. Moskva: FIZMATLIT (ISBN 5-9221-0301-6/hbk). 265-288 (2003). Reviewer: Oleg Filatov (Samara) MSC: 34A36 34A60 PDFBibTeX XMLCite \textit{A. F. Filippov}, in: Nelineĭnyĭ analiz i nelineĭnye differentsial'nye uravneniya. Moskva: FIZMATLIT. 265--288 (2003; Zbl 1098.34006)
Filippov, A. F. A Lyapunov-type function for generalized dynamical systems without uniqueness. (English. Russian original) Zbl 1089.34529 Differ. Equ. 39, No. 6, 901-903 (2003); translation from Differ. Uravn. 39, No. 6, 852-854 (2003). Reviewer: Alexander O. Ignatyev (Donetsk) MSC: 34D20 34A36 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equ. 39, No. 6, 901--903 (2003; Zbl 1089.34529); translation from Differ. Uravn. 39, No. 6, 852--854 (2003) Full Text: DOI
Filippov, A. F. On the approximate computation of solutions of ordinary differential equations with discontinuous right-hand sides. (English. Russian original) Zbl 1031.65083 Mosc. Univ. Comput. Math. Cybern. 2001, No. 2, 19-21 (2001); translation from Vestn. Mosk. Univ., Ser. XV 2001, No. 2, 18-20 (2001). MSC: 65L06 65L05 65L20 34A36 PDFBibTeX XMLCite \textit{A. F. Filippov}, Mosc. Univ. Comput. Math. Cybern. 2001, No. 2, 18--20 (2001; Zbl 1031.65083); translation from Vestn. Mosk. Univ., Ser. XV 2001, No. 2, 18--20 (2001)
Filippov, A. F. The infinitesimal order of perturbations preserving the instability of a singular point. (English. Russian original) Zbl 0990.34050 Differ. Equ. 36, No. 8, 1146-1154 (2000); translation from Differ. Uravn. 36, No. 8, 1037-1044 (2000). Reviewer: Eugene Ershov (St.Peterburg) MSC: 34D30 34D20 34D10 37C75 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equ. 36, No. 8, 1146--1154 (2000; Zbl 0990.34050); translation from Differ. Uravn. 36, No. 8, 1037--1044 (2000) Full Text: DOI
Filippov, A. F. Stability and instability by the first approximation. (English. Russian original) Zbl 0985.34041 Differ. Equ. 36, No. 4, 529-539 (2000); translation from Differ. Uravn. 36, No. 4, 475-485 (2000). Reviewer: Sergei A.Mazanik (Minsk) MSC: 34D20 34C11 34A60 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equ. 36, No. 4, 529--539 (2000; Zbl 0985.34041); translation from Differ. Uravn. 36, No. 4, 475--485 (2000) Full Text: DOI
Filippov, A. F. Application of the axiomatic method for the investigation of differential equations with singularities. (English. Russian original) Zbl 0880.34013 Differ. Equations 32, No. 2, 208-218 (1996); translation from Differ. Uravn. 32, No. 2, 205-215 (1996). Reviewer: V.Chernyatin (Szczecin) MSC: 34A34 34D20 34A26 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equations 32, No. 2, 208--218 (1996; Zbl 0880.34013); translation from Differ. Uravn. 32, No. 2, 205--215 (1996)
Filippov, A. F. Classification of compact invariant sets of dynamical systems. (English. Russian original) Zbl 0853.54037 Russ. Acad. Sci., Izv., Math. 43, No. 3, 517-526 (1994); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 6, 130-140 (1993). MSC: 54H20 34D05 93D20 37B99 PDFBibTeX XMLCite \textit{A. F. Filippov}, Russ. Acad. Sci., Izv., Math. 43, No. 3, 1 (1993; Zbl 0853.54037); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 57, No. 6, 130--140 (1993) Full Text: DOI
Filippov, A. F. Strict error estimate in the approximate calculation of the solution of a system of differential equations. (Russian. English summary) Zbl 0806.34011 Math. Montisnigri 2, 29-42 (1993). MSC: 34A45 65J99 65L70 PDFBibTeX XMLCite \textit{A. F. Filippov}, Math. Montisnigri 2, 29--42 (1993; Zbl 0806.34011)
Filippov, Alexey F. Ellipsoidal error estimates for Adams method. (English) Zbl 0829.65111 Interval Comput. 1992, No. 3(5), 75-79 (1992). MSC: 65L70 65L06 65L05 34A34 PDFBibTeX XMLCite \textit{A. F. Filippov}, Interval Comput. 1992, No. 3(5), 75--79 (1992; Zbl 0829.65111)
Filippov, A. F. Ellipsoidal estimates for a solution of a system of differential equations. (English) Zbl 0829.65110 Interval Comput. 1992, No. 2(4), 6-17 (1992). MSC: 65L70 65L12 65L05 34A34 PDFBibTeX XMLCite \textit{A. F. Filippov}, Interval Comput. 1992, No. 2(4), 6--17 (1992; Zbl 0829.65110)
Filippov, A. F. A collection of problems on differential equations. Textbook. (Sbornik zadach po differentsial’nym upravleniyam. Uchebnoe posobie). 7th ed. (Sbornik zadach po differentsial’nym upravleniyam. Uchebnoe posobie.) (Russian) Zbl 0751.34001 Moskva: Nauka. 128 p. (1992). MSC: 34-01 34A30 34A34 34C05 34D20 PDFBibTeX XMLCite \textit{A. F. Filippov}, Sbornik zadach po differentsial'nym upravleniyam. Uchebnoe posobie (Russian). 7th ed. Moskva: Nauka (1992; Zbl 0751.34001)
Filippov, A. F. Obtaining strict estimates on a computer of solutions of differential equations. (Russian) Zbl 0751.65056 Zh. Vychisl. Mat. Mat. Fiz. 31, No. 7, 994-1005 (1991). Reviewer: V.A.Velev (Sofia) MSC: 65L70 65L05 34A34 PDFBibTeX XMLCite \textit{A. F. Filippov}, Zh. Vychisl. Mat. Mat. Fiz. 31, No. 7, 994--1005 (1991; Zbl 0751.65056)
Filippov, A. F. Using a computer to obtain strict bounds on solutions of differential equations. (English. Russian original) Zbl 0786.65069 Comput. Math. Math. Phys. 31, No. 7, 37-45 (1991); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 7, 994-1005 (1991). MSC: 65L70 65L05 34A34 PDFBibTeX XMLCite \textit{A. F. Filippov}, Comput. Math. Math. Phys. 31, No. 7, 994--1005 (1991; Zbl 0786.65069); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 7, 994--1005 (1991)
Filippov, A. F. Perturbations of linear systems with quasiperiodic coefficients. (English. Russian original) Zbl 0726.34038 Differ. Equations 26, No. 8, 984-988 (1990); translation from Differ. Uravn. 26, No. 8, 1343-1348 (1990). MSC: 34D08 34A30 34D10 34C27 65J99 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equations 26, No. 8, 984--988 (1990; Zbl 0726.34038); translation from Differ. Uravn. 26, No. 8, 1343--1348 (1990)
Filippov, A. F. Properties of the solutions of a linear system with quasiperiodic coefficients. (English. Russian original) Zbl 0714.34061 Math. Notes 47, No. 2, 207-212 (1990); translation from Mat. Zametki 47, No. 2, 124-129 (1990). MSC: 34C25 34A30 PDFBibTeX XMLCite \textit{A. F. Filippov}, Math. Notes 47, No. 2, 207--212 (1990; Zbl 0714.34061); translation from Mat. Zametki 47, No. 2, 124--129 (1990) Full Text: DOI
Filippov, A. F. On perturbations of linear systems with quasiperiodic coefficients. (Russian) Zbl 0712.34068 Differ. Uravn. 26, No. 8, 1343-1348 (1990). Reviewer: W.Müller MSC: 34D08 34A30 34D10 34C27 65J99 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Uravn. 26, No. 8, 1343--1348 (1990; Zbl 0712.34068)
Filippov, A. F. On properties of solutions of a linear system with quasiperiodic coefficients. (Russian) Zbl 0696.34028 Mat. Zametki 47, No. 2, 124-129 (1990). Reviewer: M.Greguš MSC: 34C25 34A30 PDFBibTeX XMLCite \textit{A. F. Filippov}, Mat. Zametki 47, No. 2, 124--129 (1990; Zbl 0696.34028)
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. Determination of characteristic exponents of linear systems with quasiperiodic coefficients. (English. Russian original) Zbl 0718.34073 Math. Notes 44, No. 1-2, 609-616 (1988); translation from Mat. Zametki 44, No. 2, 231-243 (1988). MSC: 34D08 34A30 34C27 PDFBibTeX XMLCite \textit{A. F. Filippov}, Math. Notes 44, No. 1--2, 609--616 (1988; Zbl 0718.34073); translation from Mat. Zametki 44, No. 2, 231--243 (1988) Full Text: DOI
Filippov, A. F. Arscott, F. M. (ed.) Differential equations with discontinuous right-hand sides. Ed. by F. M. Arscott. Transl. from the Russian. (English) Zbl 0664.34001 Mathematics and Its Applications: Soviet Series, 18. Dordrecht etc.: Kluwer Academic Publishers. x, 304 p. £59.00; $ 99.00; Dfl. 198.00 (1988). Reviewer: A.Ramm MSC: 34-01 34A60 34C25 34C11 34C05 34D20 PDFBibTeX XMLCite \textit{A. F. Filippov} and \textit{F. M. Arscott} (ed.), Differential equations with discontinuous right-hand sides. Ed. by F. M. Arscott. Transl. from the Russian. Dordrecht etc.: Kluwer Academic Publishers (1988; Zbl 0664.34001)
Filippov, A. F. Determination of characteristic exponents of linear systems with quasiperiodic coefficients. (Russian) Zbl 0662.34008 Mat. Zametki 44, No. 2, 231-243 (1988). Reviewer: Ivan Ginchev MSC: 34A30 PDFBibTeX XMLCite \textit{A. F. Filippov}, Mat. Zametki 44, No. 2, 231--243 (1988; Zbl 0662.34008)
Filippov, A. F. Structural instability of three-dimensional systems in an open domain of the parameter space. (Russian) Zbl 0637.34043 Differ. Uravn. 23, No. 3, 538-539 (1987). Reviewer: V.Tsalyuk MSC: 34D30 34A60 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Uravn. 23, No. 3, 538--539 (1987; Zbl 0637.34043)
Filippov, A. F. Differential equations. Methodical instructions. (Differentsial’nye uravneniya. Metodicheskie ukazaniya). (Russian) Zbl 0666.34001 Moskva: Izdatel’stvo Moskovskogo Universiteta. 64 p. R. 0.10 (1986). Reviewer: J.H.Tian MSC: 34-01 34A30 34A12 34H05 34D20 PDFBibTeX XML
Blagodatskikh, V. I.; Filippov, A. F. Differential inclusions and optimal control. (English) Zbl 0608.49027 Proc. Steklov Inst. Math. 169, 199-259 (1986). MSC: 93B05 34A60 49K15 26E25 28B20 49-02 49J45 54C60 PDFBibTeX XMLCite \textit{V. I. Blagodatskikh} and \textit{A. F. Filippov}, Proc. Steklov Inst. Math. 169, 199--259 (1986; Zbl 0608.49027)
Filippov, A. F. A collection of problems on differential equations. Textbook. (Sbornik zadach po differentsial’nym uravneniyam). 6th ed. (Russian) Zbl 0605.34001 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 128 p. R. 0.25 (1985). MSC: 34-01 34A12 34A30 34C05 34D20 34A34 PDFBibTeX XML
Blagodatskikh, V. I.; Filippov, A. F. Differential inclusions and optimal control. (Russian) Zbl 0595.49026 Tr. Mat. Inst. Steklova 169, 194-252 (1985). Reviewer: Z.Wyderka MSC: 93B05 34A60 49K15 26E25 28B20 49J45 54C60 49-02 PDFBibTeX XMLCite \textit{V. I. Blagodatskikh} and \textit{A. F. Filippov}, Tr. Mat. Inst. Steklova 169, 194--252 (1985; Zbl 0595.49026)
Filippov, A. F. Singular points of differential inclusions on a plane. (English) Zbl 0595.34035 Mosc. Univ. Math. Bull. 40, No. 6, 54-61 (1985). MSC: 34C05 PDFBibTeX XMLCite \textit{A. F. Filippov}, Mosc. Univ. Math. Bull. 40, No. 6, 54--61 (1985; Zbl 0595.34035)
Filippov, A. F. Singular points of differential inclusions in the plane. (Russian) Zbl 0587.34024 Vestn. Mosk. Univ., Ser. I 1985, No. 6, 46-52 (1985). Reviewer: P.Moson MSC: 34C05 PDFBibTeX XMLCite \textit{A. F. Filippov}, Vestn. Mosk. Univ., Ser. I 1985, No. 6, 46--52 (1985; Zbl 0587.34024)
Filippov, A. F. Differential equations with discontinuous right-hand side. (Differentsial’nye uravneniya s razryvnoj pravoj chast’yu). (Russian) Zbl 0571.34001 Moskva: “Nauka”. Glavnaya Redaktsiya Fiziko-Matematicheskoj Literatury. 224 p. R. 2.90 (1985). Reviewer: B.Šehter MSC: 34-02 34A12 34C05 34C25 34A60 34D20 PDFBibTeX XML
Filippov, A. F. Stability conditions in homogeneous systems with arbitrary regime switching. (English. Russian original) Zbl 0484.93059 Autom. Remote Control 41, No. 8, 1078-1085 (1981); translation from Avtom. Telemekh. 1980, No. 8, 48-55 (1980). MSC: 93D20 93C15 93C10 37C75 34D20 PDFBibTeX XMLCite \textit{A. F. Filippov}, Autom. Remote Control 41, No. 8, 1078--1085 (1980; Zbl 0484.93059); translation from Avtom. Telemekh. 1980, No. 8, 48--55 (1980)
Filippov, A. F. A system of differential equations with some discontinuous functions. (English) Zbl 0473.34023 Math. Notes 27, 125-131 (1980). MSC: 34D05 34D20 PDFBibTeX XMLCite \textit{A. F. Filippov}, Math. Notes 27, 125--131 (1980; Zbl 0473.34023) Full Text: DOI
Filippov, A. F. Ein Differentialgleichungssystem mit einigen unstetigen Funktionen. (Russian) Zbl 0455.34036 Mat. Zametki 27, 255-266 (1980). MSC: 34D20 34D05 PDFBibTeX XMLCite \textit{A. F. Filippov}, Mat. Zametki 27, 255--266 (1980; Zbl 0455.34036)
Filippov, A. F. Differential equations with second members discontinuous on intersecting surfaces. (English) Zbl 0451.34005 Differ. Equations 15, 1292-1299 (1980). MSC: 34A12 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equations 15, 1292--1299 (1980; Zbl 0451.34005)
Filippov, A. F. Investigation of a system of differential equations with two intersecting discontinuity lines. (English) Zbl 0504.34023 Mosc. Univ. Math. Bull. 34, No. 6, 66-74 (1979). MSC: 34D05 34C05 PDFBibTeX XMLCite \textit{A. F. Filippov}, Mosc. Univ. Math. Bull. 34, No. 6, 66--74 (1979; Zbl 0504.34023)
Filippov, A. F. Stability for differential equations with discontinuous and many-valued second members. (English) Zbl 0466.34028 Differ. Equations 15, 720-777 (1979). MSC: 34D20 34A60 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equations 15, 720--777 (1979; Zbl 0466.34028)
Filippov, A. F. Analysis of a system of differential equations with two crossed lines of discontinuity. (Russian) Zbl 0437.34042 Vestn. Mosk. Univ., Ser. I 1979, No. 6, 68-75 (1979). MSC: 34D05 34C05 PDFBibTeX XMLCite \textit{A. F. Filippov}, Vestn. Mosk. Univ., Ser. I 1979, No. 6, 68--75 (1979; Zbl 0437.34042)
Filippov, A. F. Stability for the differential equations with discontinuous and multivalued right-hand side. (Russian) Zbl 0432.34032 Differ. Uravn. 15, 1018-1027 (1979). MSC: 34D20 34A60 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Uravn. 15, 1018--1027 (1979; Zbl 0432.34032)
Filippov, A. F. Differential equations whose right-hand side is discontinuous on intersecting surfaces. (Differentialgleichungen mit auf sich schneidenden Flächen unstetiger rechter Seite.) (Russian) Zbl 0427.34006 Differ. Uravn. 15, No. 10, 1814-1823 (1979). Reviewer: J. E. Rubio (Leeds) MSC: 34A12 34A30 34A60 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Uravn. 15, 1814--1823 (1979; Zbl 0427.34006) Full Text: MNR
Filippov, A. F. Conditions for the existence of solutions of many-valued differential equations. (English) Zbl 0395.49030 Differ. Equations 13, 740-746 (1977). MSC: 93B05 34A99 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Equations 13, 740--746 (1977; Zbl 0395.49030)
Filippov, A. F. On the existence conditions for the solutions of multivalued differential equations. (Russian) Zbl 0364.49014 Differ. Uravn. 13, 1070-1079 (1977). MSC: 93B05 34A99 PDFBibTeX XMLCite \textit{A. F. Filippov}, Differ. Uravn. 13, 1070--1079 (1977; Zbl 0364.49014)
Philippov, A. Recueil de problèmes d’équations différentielles. Traduit du russe par G. Petrossov. (French) Zbl 0383.34001 Moscou: Editions Mir. 135 p. R. 1-05 (1976). MSC: 34-01 PDFBibTeX XML
Filippov, A. F. The existence of solutions of generalized differential equations. (English) Zbl 0265.34074 Math. Notes 10 (1971), 608-611 (1972). MSC: 34G99 34A12 PDFBibTeX XMLCite \textit{A. F. Filippov}, Math. Notes 10, 608--611 (1972; Zbl 0265.34074) Full Text: DOI
Filippov, A. F. Über die Existenz von Lösungen mehrdeutiger Differentialgleichungen. (Russian) Zbl 0254.34004 Mat. Zametki 10, 307-313 (1971). MSC: 34A12 PDFBibTeX XMLCite \textit{A. F. Filippov}, Mat. Zametki 10, 307--313 (1971; Zbl 0254.34004)
Filippov, A. F. Classical solutions of differential equations with multivalued right hand side. (Russian. Russian original) Zbl 0238.34010 SIAM J. Control 5, 609-621 (1967); translation from Vestn. Mosk. Univ., Ser. I 22, No. 3, 16-26 (1967). MSC: 34A12 PDFBibTeX XMLCite \textit{A. F. Filippov}, SIAM J. Control 5, 609--621 (1967; Zbl 0238.34010); translation from Vestn. Mosk. Univ., Ser. I 22, No. 3, 16--26 (1967) Full Text: DOI
Filippov, A. F. Differential equations with discontinuous right-hand side. (Russian) Zbl 0138.32204 Mat. Sb., N. Ser. 51(93), 99-128 (1960). MSC: 34A36 PDFBibTeX XMLCite \textit{A. F. Filippov}, Mat. Sb., Nov. Ser. 51(93), 99--128 (1960; Zbl 0138.32204)