Golovan’, N. S.; Lyashchenko, N. Ya. Nested Runge–Kutta methods for the differential equation \(y'' = f(x,y)\). (English. Russian original) Zbl 0779.65041 J. Sov. Math. 58, No. 3, 224-228 (1992); translation from Vychisl. Prikl. Mat., Kiev 57, 42-48 (1985). MSC: 65L05 34A34 PDFBibTeX XML Full Text: DOI
Pavel, Garofita On a spline method of numerical solving the n-order linear differential equations. (Romanian. French summary) Zbl 0715.65049 Bul. Ştiinţ. Inst. Politeh. Cluj-Napoca, Ser. Mat. Mec. Apl., Constr. Maşini 28, 7-14 (1985). Reviewer: A.Coţiu MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{G. Pavel}, Bul. Științ. Inst. Politeh. Cluj-Napoca, Ser. Mat. Mec. Apl., Constr. Mașini 28, 7--14 (1985; Zbl 0715.65049)
Shi, Deming On the singular Cauchy problem for nonlinear equation of hyperbolic type. (English) Zbl 0679.35069 Acta Math. Sci. 5, 79-83 (1985). Reviewer: J.H.Tian MSC: 35L70 35L20 35A35 PDFBibTeX XMLCite \textit{D. Shi}, Acta Math. Sci. 5, 79--83 (1985; Zbl 0679.35069)
Li, Yanyan The existence and the uniqueness of a semilinear parabolic equation. (English) Zbl 0676.35038 Acta Math. Sci. 5, 93-104 (1985). Reviewer: J.Tian MSC: 35K55 35A05 35K15 PDFBibTeX XMLCite \textit{Y. Li}, Acta Math. Sci. 5, 93--104 (1985; Zbl 0676.35038)
Ibragimov, V. R. On an application of the \(\tau\)-modulus. (Russian) Zbl 0674.65049 Approximate methods for solving operator equations, Thematic Collect. Sci. Works, 64-75 (1985). MSC: 65L05 34A34 PDFBibTeX XML
Aripov, M. M.; Khaidarov, A. On propagation of disturbances in problems of nonlinear heat conductivity with source and absorption. (Russian) Zbl 0667.35034 Vopr. Vychisl. Prikl. Mat. 78, 59-66 (1985). MSC: 35K55 35K15 35B40 35B30 80A20 PDFBibTeX XMLCite \textit{M. M. Aripov} and \textit{A. Khaidarov}, Vopr. Vychisl. Prikl. Mat. 78, 59--66 (1985; Zbl 0667.35034)
Půža, B. A note on solvability of some boundary value problems for an \(n\)-th order ordinary differential equation. (Russian) Zbl 0665.34021 Arch. Math., Brno 21, 85-92 (1985). Reviewer: D.Tiba MSC: 34B15 PDFBibTeX XMLCite \textit{B. Půža}, Arch. Math., Brno 21, 85--92 (1985; Zbl 0665.34021)
Danilov, V. A. Two-sided and interval methods for solution of linear ODEs with respect to the phenomenon of stiff systems. (Russian) Zbl 0664.65071 Approximate methods of analysis and their applications, Work Collect., Irkutsk 1985, 82-94 (1985). MSC: 65L05 65G30 34A34 PDFBibTeX XML
Demchenko, V. V.; Markin, V. D. On one family of exact solutions of the multidimensional nonlinear heat equation. (English. Russian original) Zbl 0659.35048 U.S.S.R. Comput. Math. Math. Phys. 25, No. 2, 91-94 (1985); translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No. 3, 461-466 (1985). MSC: 35K15 35C05 82D45 PDFBibTeX XMLCite \textit{V. V. Demchenko} and \textit{V. D. Markin}, U.S.S.R. Comput. Math. Math. Phys. 25, No. 2, 91--94 (1985; Zbl 0659.35048); translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No. 3, 461--466 (1985) Full Text: DOI
Maslov, V. P.; Mosolov, P. P. Nonlinear hyperbolic equations with small viscosity. (Russian) Zbl 0658.35062 Acta Math. Vietnam. 10, No. 2, 167-251 (1985). Reviewer: V.Chernyatin MSC: 35L70 35Q30 76D05 35A05 35C20 PDFBibTeX XMLCite \textit{V. P. Maslov} and \textit{P. P. Mosolov}, Acta Math. Vietnam. 10, No. 2, 167--251 (1985; Zbl 0658.35062)
Payne, L. E. On stability and growth of solutions for classes of initial and boundary value problems. (English) Zbl 0656.73014 Mathematical models and methods in mechanics, Banach Cent. Publ. 15, 621-643 (1985). MSC: 74B99 74B20 35B30 46S20 47A60 35Q99 47J25 35B05 35R25 PDFBibTeX XML
Kamont, Zdzisław On an overdetermined system of nonlinear partial differential-functional equations of the first order. (English) Zbl 0652.35015 Zesz. Nauk. Politech. Gdańsk. 383, Mat. 13, 39-46 (1985). Reviewer: M.Derridj MSC: 35F25 35N10 35A05 PDFBibTeX XML
Zacharek, Stanisław Generalized solutions of quasi-linear partial differential equations of first order with retarded argument. (Polish. English, Russian summaries) Zbl 0642.35074 Zesz. Nauk. Politech. Gdańsk. 383, Mat. 13, 21-37 (1985). MSC: 35R10 35F25 35D05 PDFBibTeX XML
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On asymptotic stability of self-similar solutions of the heat equation with a nonlinear sink. (English. Russian original) Zbl 0639.35036 Sov. Math., Dokl. 31, 271-276 (1985); translation from Dokl. Akad. Nauk SSSR 281, 23-27 (1985). Reviewer: I.Zino MSC: 35K55 35B35 35B40 35K15 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Sov. Math., Dokl. 31, 271--276 (1985; Zbl 0639.35036); translation from Dokl. Akad. Nauk SSSR 281, 23--27 (1985)
Mokejchev, V. S. Differential equations with deviating arguments. (Differentsial’nye uravneniya s otklonyayushchimisya argumentami). (Russian) Zbl 0639.34001 Kazan’: Izdatel’stvo Kazanskogo Universiteta. 222 p. R. 1.50 (1985). Reviewer: R.R.Akhmerov MSC: 34-01 34K05 35R10 34A30 34A34 34A12 PDFBibTeX XML
Hanouzet, B.; Joly, J. L. Formes bilinéaires compatibles avec un système hyperbolique et problème de Cauchy. (Compatible bilinear forms for a hyperbolic system and Cauchy problem). (French) Zbl 0636.35050 Journ. Équ. Dériv. Partielles, St.-Jean-De-Monts 1985, No. 1, Conf. No. 6, 12 p. (1985). Reviewer: S.Cinquini MSC: 35L60 35L45 35B30 35A05 47F05 PDFBibTeX XML Full Text: Numdam EuDML
Magnaradze, L. G. A remark on the global solution of the Cauchy problem for quasilinear Burger’s equation by the method of Hopf and Cole. (Russian. English summary) Zbl 0636.35034 Dokl., Semin. Inst. Prikl. Mat. 19, 63-69 (1985). MSC: 35K55 35C05 35K15 35B65 PDFBibTeX XML
Golovan’, N. S.; Lyashchenko, N. Ya. Imbedded Runge-Kutta-methods for the differential equation \(y''=f(x,y)\). (Russian) Zbl 0634.65053 Vychisl. Prikl. Mat., Kiev 57, 42-48 (1985). MSC: 65L05 34A34 PDFBibTeX XMLCite \textit{N. S. Golovan'} and \textit{N. Ya. Lyashchenko}, Vychisl. Prikl. Mat. 57, 42--48 (1985; Zbl 0634.65053)
Soltanov, K. N. On solvability of some nonlinear evolution problems. (Russian. English summary) Zbl 0632.34003 Izv. Akad. Nauk Az. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1985, No. 4, 18-22 (1985). MSC: 34A12 34A34 PDFBibTeX XMLCite \textit{K. N. Soltanov}, Izv. Akad. Nauk Az. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1985, No. 4, 18--22 (1985; Zbl 0632.34003)
Szepesvári, István On stability and convergence of a finite difference scheme for a filtration equation. (English) Zbl 0629.65098 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 6, 103-116 (1985). MSC: 65M12 76S05 35K55 PDFBibTeX XMLCite \textit{I. Szepesvári}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 6, 103--116 (1985; Zbl 0629.65098)
Brandi, Primo; Ceppitelli, Rita \(\epsilon\)-approximate solutions for hereditary nonlinear partial differential equations. (English) Zbl 0627.65121 Rend. Circ. Mat. Palermo, II. Ser., Suppl. 8, 399-417 (1985). Reviewer: E.V.Nicolau MSC: 65Z05 65N15 35F25 PDFBibTeX XMLCite \textit{P. Brandi} and \textit{R. Ceppitelli}, Suppl. Rend. Circ. Mat. Palermo (2) 8, 399--417 (1985; Zbl 0627.65121)
Morales, Pedro Topological properties of the set of global solutions for a class of semilinear evolution equations in a Banach space. (English) Zbl 0627.47028 Rend. Circ. Mat. Palermo, II. Ser., Suppl. 8, 379-397 (1985). Reviewer: G.Di Blasio MSC: 47H10 47H20 34G20 PDFBibTeX XMLCite \textit{P. Morales}, Suppl. Rend. Circ. Mat. Palermo (2) 8, 379--397 (1985; Zbl 0627.47028)
Il’in, A. M. The Cauchy problem for a quasilinear parabolic equation with a small parameter. (English. Russian original) Zbl 0627.35044 Sov. Math., Dokl. 32, 133-136 (1985); translation from Dokl. Akad. Nauk SSSR 283, 530-534 (1985). Reviewer: J.Stara MSC: 35K55 35C20 35K15 35B20 PDFBibTeX XMLCite \textit{A. M. Il'in}, Sov. Math., Dokl. 32, 133--136 (1985; Zbl 0627.35044); translation from Dokl. Akad. Nauk SSSR 283, 530--534 (1985)
Sidorov, A. F. Analytic representations of solutions of nonlinear parabolic equations of time-dependent filtration [porous medium] type. (English. Russian original) Zbl 0627.35043 Sov. Math., Dokl. 31, 40-44 (1985); translation from Dokl. Akad. Nauk SSSR 280, 47-51 (1985). Reviewer: J.Stara MSC: 35K55 35K65 35C10 35K10 35A20 PDFBibTeX XMLCite \textit{A. F. Sidorov}, Sov. Math., Dokl. 31, 40--44 (1985; Zbl 0627.35043); translation from Dokl. Akad. Nauk SSSR 280, 47--51 (1985)
Crandall, Michael G. A remark on semilinear perturbations of abstract parabolic equations. (English) Zbl 0626.35044 Nonlinear Anal., Theory Methods Appl. 9, 1331-1335 (1985). Reviewer: J.Schönenberger-Deuel MSC: 35K55 34G20 35B20 47D03 35G10 35K25 PDFBibTeX XMLCite \textit{M. G. Crandall}, Nonlinear Anal., Theory Methods Appl. 9, 1331--1335 (1985; Zbl 0626.35044) Full Text: DOI
Dobrokhotov, S. Yu.; Zhevandrov, P. N. Nonstandard characteristics and Maslov’s operational method in linear problems concerning unsteady water waves. (English. Russian original) Zbl 0625.35080 Funct. Anal. Appl. 19, 285-295 (1985); translation from Funkts. Anal. Prilozh. 19, No. 4, 43-54 (1985). Reviewer: N.Mitskievich MSC: 35S10 76B15 35A30 PDFBibTeX XMLCite \textit{S. Yu. Dobrokhotov} and \textit{P. N. Zhevandrov}, Funct. Anal. Appl. 19, 285--295 (1985; Zbl 0625.35080); translation from Funkts. Anal. Prilozh. 19, No. 4, 43--54 (1985) Full Text: DOI
Volodin, B. A.; Khapaev, A. M. Solution of a Cauchy problem related to electron motion in a plane wave. (English. Russian original) Zbl 0624.34007 Differ. Equations 21, 1361-1368 (1985); translation from Differ. Uravn. 21, No. 12, 2036-2046 (1985). MSC: 34A25 34A12 34A34 PDFBibTeX XMLCite \textit{B. A. Volodin} and \textit{A. M. Khapaev}, Differ. Equations 21, 1361--1368 (1985; Zbl 0624.34007); translation from Differ. Uravn. 21, No. 12, 2036--2046 (1985)
Veliev, M. A. The Bubnov-Galerkin method for a class of second order differential equations. (Russian. English summary) Zbl 0621.65078 Dokl., Akad. Nauk Az. SSR 41, No. 11, 3-6 (1985). MSC: 65L05 65L60 65L50 34A34 PDFBibTeX XMLCite \textit{M. A. Veliev}, Dokl., Akad. Nauk Az. SSR 41, No. 11, 3--6 (1985; Zbl 0621.65078)
Liu, Tai-Ping Nonlinear stability of shock waves for viscous conservation laws. (English) Zbl 0617.35058 Mem. Am. Math. Soc. 328, 108 p. (1985). Reviewer: G.Warnecke MSC: 35K55 35B40 35L65 76N10 35B05 35B35 PDFBibTeX XMLCite \textit{T.-P. Liu}, Nonlinear stability of shock waves for viscous conservation laws. Providence, RI: American Mathematical Society (AMS) (1985; Zbl 0617.35058) Full Text: DOI Euclid
Dafermos, C. M. Regularity and large time behaviour of solutions of a conservation law without convexity. (English) Zbl 0616.35054 Proc. R. Soc. Edinb., Sect. A 99, 201-239 (1985). Reviewer: P.Ramankutty MSC: 35L65 35B65 35B40 35L45 35L60 PDFBibTeX XMLCite \textit{C. M. Dafermos}, Proc. R. Soc. Edinb., Sect. A, Math. 99, 201--239 (1985; Zbl 0616.35054) Full Text: DOI
Bobkov, V. V.; Mandrik, P. A.; Repnikov, V. I. A class of difference schemes for differential equations of special form. (Russian) Zbl 0615.65081 Vestn. Beloruss. Gos. Univ. Im. V. I. Lenina, Ser. I 1985, No. 3, 31-34 (1985). Reviewer: E.Schechter MSC: 65L05 34A34 80A30 PDFBibTeX XMLCite \textit{V. V. Bobkov} et al., Vestn. Beloruss. Gos. Univ. Im. V. I. Lenina, Ser. I 1985, No. 3, 31--34 (1985; Zbl 0615.65081)
Aliev, A. B. The Cauchy problem for higher order quasilinear equations of hyperbolic type with a Volterra operator. (English. Russian original) Zbl 0615.35056 Sov. Math., Dokl. 31, 6-9 (1985); translation from Dokl. Akad. Nauk SSR 280, 15-18 (1985). MSC: 35L75 35L30 35R15 34G20 PDFBibTeX XMLCite \textit{A. B. Aliev}, Sov. Math., Dokl. 31, 6--9 (1985; Zbl 0615.35056); translation from Dokl. Akad. Nauk SSR 280, 15--18 (1985)
Galaktionov, V. A. Asymptotic behavior of unbounded solutions of the nonlinear parabolic equation \(u_ t=(u^{\sigma}\,u_ x)_ x+u^{\sigma +1}\). (English. Russian original) Zbl 0615.35048 Differ. Equations 21, 751-758 (1985); translation from Differ. Uravn. 21, No. 7, 1126-1134 (1985). Reviewer: W.Okrasiński MSC: 35K65 35K55 35B40 35K15 PDFBibTeX XMLCite \textit{V. A. Galaktionov}, Differ. Equations 21, 751--758 (1985; Zbl 0615.35048); translation from Differ. Uravn. 21, No. 7, 1126--1134 (1985)
Kamont, Zdzisław; Turo, Jan On the Cauchy problem for quasilinear hyperbolic system of partial differential equations with a retarded argument. (English) Zbl 0614.35089 Boll. Unione Mat. Ital., VI. Ser., B 4, 901-916 (1985). Reviewer: P.T.Crăciunaş MSC: 35R10 35L45 35L60 35A05 35B30 PDFBibTeX XMLCite \textit{Z. Kamont} and \textit{J. Turo}, Boll. Unione Mat. Ital., VI. Ser., B 4, 901--916 (1985; Zbl 0614.35089)
Hoff, David A scheme for computing solutions and interface curves for a doubly- degenerate parabolic equation. (English) Zbl 0613.65090 SIAM J. Numer. Anal. 22, 687-712 (1985). Reviewer: Isaac Yevzerov (Kyïv) MSC: 65M06 65M15 35K65 35K55 76S05 PDFBibTeX XMLCite \textit{D. Hoff}, SIAM J. Numer. Anal. 22, 687--712 (1985; Zbl 0613.65090) Full Text: DOI
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. A new class of asymptotic ”eigenfunctions” for Cauchy’s problem for a nonlinear parabolic equation. (English) Zbl 0612.35059 U.S.S.R. Comput. Math. Math. Phys. 25, No. 6, 151-155 (1985). MSC: 35K05 35K60 35B99 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., U.S.S.R. Comput. Math. Math. Phys. 25, No. 6, 151--155 (1985; Zbl 0612.35059) Full Text: DOI
Radyno, Ya. V. Differential equations in a Banach-space scale. (English) Zbl 0611.34060 Differ. Equations 21, 971-979 (1985). MSC: 34G20 34A12 34A34 PDFBibTeX XMLCite \textit{Ya. V. Radyno}, Differ. Equations 21, 971--979 (1985; Zbl 0611.34060)
Stets’ko, Yu. P. A parallel algorithm for the solution of the stationary matrix Riccati equation. (Russian) Zbl 0609.65055 Numerical-analytical methods for the investigation of dynamics and stability of multi-dimensional systems, Collect. sci. Works, Kiev 1985, 96-100 (1985). Reviewer: Z.Dżygadło MSC: 65L05 65K10 34A34 93C15 PDFBibTeX XML
Jiang, Lumin Uniqueness of weak solution to Cauchy problem of a class of semilinear hyperbolic equations. (Chinese. English summary) Zbl 0609.35056 J. East China Norm. Univ., Nat. Sci. Ed. 1985, 23-28 (1985). Reviewer: J.Wang MSC: 35L70 35A07 35L15 PDFBibTeX XMLCite \textit{L. Jiang}, J. East China Norm. Univ., Nat. Sci. Ed. 1985, 23--28 (1985; Zbl 0609.35056)
Baouendi, M. S.; Goulaouic, C.; Treves, F. Uniqueness in certain first-order nonlinear complex Cauchy problems. (English) Zbl 0609.35019 Commun. Pure Appl. Math. 38, 109-123 (1985). Reviewer: W.Walter MSC: 35F25 35A05 35A20 35B60 PDFBibTeX XMLCite \textit{M. S. Baouendi} et al., Commun. Pure Appl. Math. 38, 109--123 (1985; Zbl 0609.35019) Full Text: DOI
Kamont, Z. Existence of solutions of first order partial differential-functional equations. (English) Zbl 0609.35017 Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 25, 249-263 (1985). Reviewer: C.Simionescu MSC: 35F20 35A05 45K05 35R10 PDFBibTeX XMLCite \textit{Z. Kamont}, Ann. Soc. Math. Pol., Ser. I, Commentat. Math. 25, 249--263 (1985; Zbl 0609.35017)
Vidossich, Giovanni The two-point boundary value problem from the Cauchy problem. (English) Zbl 0609.34016 J. Differ. Equations 60, 1-20 (1985). Reviewer: T.Gard MSC: 34B10 34B15 34A12 PDFBibTeX XMLCite \textit{G. Vidossich}, J. Differ. Equations 60, 1--20 (1985; Zbl 0609.34016) Full Text: DOI
Calogero, F.; Degasperis, A. A modified modified Korteweg-de Vries equation. (English) Zbl 0608.35062 Inverse Probl. 1, 57-66 (1985). Reviewer: E.Malec MSC: 35Q99 35G25 35A30 PDFBibTeX XMLCite \textit{F. Calogero} and \textit{A. Degasperis}, Inverse Probl. 1, 57--66 (1985; Zbl 0608.35062) Full Text: DOI
Kalyakin, L. A. Long-wave asymptotics of the solution of the Cauchy problem for a system of equations with nonlinear perturbation. (English. Russian original) Zbl 0608.35009 Sov. Math., Dokl. 32, 9-13 (1985); translation from Dokl. Akad. Nauk SSSR 283, 18-22 (1985). Reviewer: M.Tsuji MSC: 35G25 35B20 35C20 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, Sov. Math., Dokl. 32, 9--13 (1985; Zbl 0608.35009); translation from Dokl. Akad. Nauk SSSR 283, 18--22 (1985)
Konyukhova, N. B. Singular Cauchy problems for sets of quasilinear equations with first- order partial derivatives. (English. Russian original) Zbl 0608.35008 U.S.S.R. Comput. Math. Math. Phys. 25, No. 6, 139-151 (1985); translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No. 12, 1814-1832 (1985). Reviewer: S.Balint MSC: 35F25 35A05 PDFBibTeX XMLCite \textit{N. B. Konyukhova}, U.S.S.R. Comput. Math. Math. Phys. 25, No. 6, 139--151 (1985; Zbl 0608.35008); translation from Zh. Vychisl. Mat. Mat. Fiz. 25, No. 12, 1814--1832 (1985) Full Text: DOI
Maksudov, F. G.; Rasulov, T. M. On the existence of the solution of a quasilinear mixed problem in a domain with variable boundary. (Russian. English summary) Zbl 0607.35021 Dokl., Akad. Nauk Az. SSR 41, No. 12, 7-9 (1985). Reviewer: V.Kovrizkin MSC: 35G25 35A05 PDFBibTeX XMLCite \textit{F. G. Maksudov} and \textit{T. M. Rasulov}, Dokl., Akad. Nauk Az. SSR 41, No. 12, 7--9 (1985; Zbl 0607.35021)
Belolipetskij, A. A.; Ter-Krikorov, A. M. Construction of fundamental solutions of an abstract nonlinear parabolic equation in the neighborhood of a bifurcation point. (Russian) Zbl 0607.34056 Mat. Sb., N. Ser. 128(170), No. 3(11), 306-320 (1985). Reviewer: Yu.S.Eidel’man MSC: 34G20 PDFBibTeX XMLCite \textit{A. A. Belolipetskij} and \textit{A. M. Ter-Krikorov}, Mat. Sb., Nov. Ser. 128(170), No. 3(11), 306--320 (1985; Zbl 0607.34056) Full Text: EuDML
Le Van Hot A fixed point theorem. (English) Zbl 0606.47064 Commentat. Math. Univ. Carol. 26, 299-308 (1985). Reviewer: I.Beg MSC: 47H10 47J05 47J25 PDFBibTeX XMLCite \textit{Le Van Hot}, Commentat. Math. Univ. Carol. 26, 299--308 (1985; Zbl 0606.47064) Full Text: EuDML
Tran Huy Ho Propagation et interaction des singularités pour les équations hyperboliques semi-linéaires en dimension 1 d’espace. (Propagation and interaction of singularities for hyperbolic semi-linear equations in one space dimension). (French) Zbl 0605.35059 C. R. Acad. Sci., Paris, Sér. I 300, 597-600 (1985). MSC: 35L75 35L60 35L67 35A20 35B40 PDFBibTeX XMLCite \textit{Tran Huy Ho}, C. R. Acad. Sci., Paris, Sér. I 300, 597--600 (1985; Zbl 0605.35059)
Yu, Jinguo; Zhao, Yanchun The regularity of the solutions of the quasilinear hyperbolic systems. (Chinese. English summary) Zbl 0605.35052 Chin. Ann. Math., Ser. A 6, 595-609 (1985). Reviewer: F.Jiang MSC: 35L60 35B65 35B30 PDFBibTeX XMLCite \textit{J. Yu} and \textit{Y. Zhao}, Chin. Ann. Math., Ser. A 6, 595--609 (1985; Zbl 0605.35052)
Sobolevskij, E. P. The averaging principle for quasilinear parabolic equations. (Russian. English summary) Zbl 0605.35043 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 8, 19-22 (1985). MSC: 35K55 35K30 35B30 PDFBibTeX XMLCite \textit{E. P. Sobolevskij}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1985, No. 8, 19--22 (1985; Zbl 0605.35043)
Agaev, G. N. The Cauchy problem for quasilinear degenerate equations in weighted spaces. (Russian) Zbl 0605.35042 Izv. Akad. Nauk Az. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1985, No. 1, 21-27 (1985). MSC: 35K55 35D05 PDFBibTeX XMLCite \textit{G. N. Agaev}, Izv. Akad. Nauk Az. SSR, Ser. Fiz.-Tekh. Mat. Nauk 1985, No. 1, 21--27 (1985; Zbl 0605.35042)
Totaro, Silvia On a nonlinear problem arising from interaction of algae with light. (English) Zbl 0604.92021 Mathematics in biology and medicine, Proc. Int. Conf., Bari/Italy 1983, Lect. Notes Biomath. 57, 98-103 (1985). MSC: 92D40 92F05 47J05 47D03 47H10 92D25 PDFBibTeX XML
Pogrebkov, A. K.; Polivanov, M. K. The Liouville and Sinh-Gordon equations. Singular solutions, dynamics of singularities and the inverse problem method. (English) Zbl 0604.70032 Sov. Sci. Rev., Sect. C, Math. Phys. Rev. 5, 197-272 (1985). Reviewer: S.Sridhar MSC: 70Sxx 70H40 37J99 81S10 PDFBibTeX XMLCite \textit{A. K. Pogrebkov} and \textit{M. K. Polivanov}, Sov. Sci. Rev., Sect. C 5, 197--272 (1985; Zbl 0604.70032)
Danilyuk, I. I. On the Stefan problem. (English. Russian original) Zbl 0604.35080 Russ. Math. Surv. 40, No. 5, 157-223 (1985); translation from Usp. Mat. Nauk 40, No. 5(245), 133-185 (1985). MSC: 35R35 35R30 49J40 35B35 PDFBibTeX XMLCite \textit{I. I. Danilyuk}, Russ. Math. Surv. 40, No. 5, 157--223 (1985; Zbl 0604.35080); translation from Usp. Mat. Nauk 40, No. 5(245), 133--185 (1985) Full Text: DOI
Steeb, W.-H.; Grauel, A. Carleman model and integrability. (English) Zbl 0604.35069 Hadronic J. 8, 187-191 (1985). Reviewer: P.Chaudran MSC: 35Q99 35L60 35G25 35A30 76P05 PDFBibTeX XMLCite \textit{W. H. Steeb} and \textit{A. Grauel}, Hadronic J. 8, 187--191 (1985; Zbl 0604.35069)
Chen, Shuxing Propagation of anomalous singularities of solutions to a semiliner hyperbolic equation of higher order. (English) Zbl 0604.35057 Northeast. Math. J. 1, 127-137 (1985). Reviewer: E.Young MSC: 35L75 35A20 35L30 PDFBibTeX XMLCite \textit{S. Chen}, Northeast. Math. J. 1, 127--137 (1985; Zbl 0604.35057)
Matsumura, Akitaka; Nishihara, Kenji On the stability of travelling wave solutions of a one-dimensional model system for compressible viscous gas. (English) Zbl 0602.76080 Japan J. Appl. Math. 2, 17-25 (1985). Reviewer: R.H.W.Hoppe MSC: 76N15 35B40 35B45 35L60 46E35 PDFBibTeX XMLCite \textit{A. Matsumura} and \textit{K. Nishihara}, Japan J. Appl. Math. 2, 17--25 (1985; Zbl 0602.76080) Full Text: DOI
Krys’ko, V. A.; Fomin, V. G. The dynamics of an elastic cylindrical panel during interaction with a transonic gas flow. (English. Russian original) Zbl 0602.73046 Sov. Appl. Mech. 21, 454-459 (1985); translation from Prikl. Mekh., Kiev 21, No. 5, 39-45 (1985). MSC: 74F10 74S30 76H05 74H45 PDFBibTeX XMLCite \textit{V. A. Krys'ko} and \textit{V. G. Fomin}, Sov. Appl. Mech. 21, 454--459 (1985; Zbl 0602.73046); translation from Prikl. Mekh., Kiev 21, No. 5, 39--45 (1985) Full Text: DOI
Besala, P. Finite difference approximation to the Cauchy problem for non-linear parabolic differential equations. (English) Zbl 0601.65073 Ann. Pol. Math. 46, 19-26 (1985). MSC: 65N12 65N15 35K55 PDFBibTeX XMLCite \textit{P. Besala}, Ann. Pol. Math. 46, 19--26 (1985; Zbl 0601.65073) Full Text: DOI
Hanouzet, Bernard; Joly, Jean-Luc Explosion pour des problèmes hyperboliques semi-linéaires avec second membre non compatible. (Blow-up for some semilinear hyperbolic problems). (French) Zbl 0601.35073 C. R. Acad. Sci., Paris, Sér. I 301, 581-584 (1985). MSC: 35L70 35L15 35B40 PDFBibTeX XMLCite \textit{B. Hanouzet} and \textit{J.-L. Joly}, C. R. Acad. Sci., Paris, Sér. I 301, 581--584 (1985; Zbl 0601.35073)
Kano, Tadayoshi; Nishida, Takaaki Sur l’équation de Boussinesq des ondes de surface de l’eau. (On the Boussinesq equation for water surface waves). (French) Zbl 0601.35004 Proc. Japan Acad., Ser. A 61, 91-94 (1985). Reviewer: T.Petrila MSC: 35A10 35Q99 76B15 PDFBibTeX XMLCite \textit{T. Kano} and \textit{T. Nishida}, Proc. Japan Acad., Ser. A 61, 91--94 (1985; Zbl 0601.35004) Full Text: DOI
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. A parabolic system of quasilinear equations. II. (English. Russian original) Zbl 0599.35085 Differ. Equations 21, 1049-1062 (1985); translation from Differ. Uravn. 21, No. 9, 1544-1559 (1985). Reviewer: P.Chocholatý MSC: 35K55 35K40 35B30 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Differ. Equations 21, 1049--1062 (1985; Zbl 0599.35085); translation from Differ. Uravn. 21, No. 9, 1544--1559 (1985)
Rzepecki, Bogdan Note on differential equations in Banach spaces. (English) Zbl 0598.34052 Rev. Roum. Math. Pures Appl. 30, 679-684 (1985). Reviewer: Simeon Reich MSC: 34G20 PDFBibTeX XMLCite \textit{B. Rzepecki}, Rev. Roum. Math. Pures Appl. 30, 679--684 (1985; Zbl 0598.34052)
Azhotkin, V. D.; Babich, V. M. Application of the method of two-scale expansions to the single-frequency problem of the theory of nonlinear oscillations. (English. Russian original) Zbl 0596.70027 J. Appl. Math. Mech. 49, 290-295 (1985); translation from Prikl. Mat. Mekh. 49, 377-383 (1985). MSC: 70K99 34E05 PDFBibTeX XMLCite \textit{V. D. Azhotkin} and \textit{V. M. Babich}, J. Appl. Math. Mech. 49, 290--295 (1985; Zbl 0596.70027); translation from Prikl. Mat. Mekh. 49, 377--383 (1985) Full Text: DOI
Bertsch, M.; Kersner, R.; Peletier, L. A. Positivity versus localization in degenerate diffusion equations. (English) Zbl 0596.35073 Nonlinear Anal., Theory Methods Appl. 9, 987-1008 (1985). Reviewer: J.Danesova MSC: 35K65 76R99 35B05 PDFBibTeX XMLCite \textit{M. Bertsch} et al., Nonlinear Anal., Theory Methods Appl. 9, 987--1008 (1985; Zbl 0596.35073) Full Text: DOI
Chen, Changping; Jiang, Lumin On the global solution to the Cauchy problems of nonlinear heat equations. (Chinese. English summary) Zbl 0596.35055 J. East China Norm. Univ., Nat. Sci. Ed. 1985, No. 4, 15-22 (1985). MSC: 35K05 35K55 35A05 35B30 PDFBibTeX XMLCite \textit{C. Chen} and \textit{L. Jiang}, J. East China Norm. Univ., Nat. Sci. Ed. 1985, No. 4, 15--22 (1985; Zbl 0596.35055)
Galaktionov, V. A.; Kurdyumov, S. P.; Samarskij, A. A. On a new class of asymptotic ”eigenfunctions” of the Cauchy problem for a nonlinear parabolic equation. (Russian) Zbl 0596.35054 Zh. Vychisl. Mat. Mat. Fiz. 25, No. 12, 1833-1839 (1985). Reviewer: V.Burjan MSC: 35K05 35K60 35P99 PDFBibTeX XMLCite \textit{V. A. Galaktionov} et al., Zh. Vychisl. Mat. Mat. Fiz. 25, No. 12, 1833--1839 (1985; Zbl 0596.35054)
Naumkin, P. I.; Shishmarev, I. A. Breaking of waves for Whitham’s equation with a singular kernel. II. (English) Zbl 0595.45024 Differ. Equations 21, 1204-1217 (1985). MSC: 45K05 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Differ. Equations 21, 1204--1217 (1985; Zbl 0595.45024)
Lange, H. On nonlinear Schrödinger equations in the theory of quantum mechanical dissipative systems. (English) Zbl 0595.35090 Nonlinear Anal., Theory Methods Appl. 9, 1115-1133 (1985). Reviewer: N.Lar’kin MSC: 35Q99 35J10 49M15 35A05 PDFBibTeX XMLCite \textit{H. Lange}, Nonlinear Anal., Theory Methods Appl. 9, 1115--1133 (1985; Zbl 0595.35090) Full Text: DOI
Wolska-Bochenek, J.; Chrzanowski, E. M. Nonlinear compound problem for elliptic system in the plane. (English) Zbl 0595.35086 Demonstr. Math. 18, 649-660 (1985). Reviewer: R.Heersink MSC: 35Q15 35J65 30E15 PDFBibTeX XMLCite \textit{J. Wolska-Bochenek} and \textit{E. M. Chrzanowski}, Demonstr. Math. 18, 649--660 (1985; Zbl 0595.35086) Full Text: DOI
Kovach, Yu. I.; Bojtsun, S. A. Analytic two-sided methods of approximate solution of Cauchy’s problem for partial differential equations. (English. Russian original) Zbl 0595.35025 Ukr. Math. J. 37, 395-396 (1985); translation from Ukr. Mat. Zh. 37, No. 4, 494-496 (1985). Reviewer: B.Kvedaras MSC: 35G25 35A35 PDFBibTeX XMLCite \textit{Yu. I. Kovach} and \textit{S. A. Bojtsun}, Ukr. Math. J. 37, 395--396 (1985; Zbl 0595.35025); translation from Ukr. Mat. Zh. 37, No. 4, 494--496 (1985) Full Text: DOI
Kannan, Rangachary; Ortega, Rafael Approximate solutions for the Cauchy problem for a semilinear hyperbolic system. (English) Zbl 0595.35022 J. Math. Kyoto Univ. 25, 393-403 (1985). Reviewer: R.Kodnár MSC: 35F20 35L45 35A35 35A05 PDFBibTeX XMLCite \textit{R. Kannan} and \textit{R. Ortega}, J. Math. Kyoto Univ. 25, 393--403 (1985; Zbl 0595.35022) Full Text: DOI
Strizhkov, V. A. Some questions on the solubility as a whole of singularly perturbed nonlinear problems. (English. Russian original) Zbl 0595.34061 Math. Notes 37, 469-475 (1985); translation from Mat. Zametki 37, No. 6, 857-868 (1985). Reviewer: H.S.Nur MSC: 34E15 34D10 PDFBibTeX XMLCite \textit{V. A. Strizhkov}, Math. Notes 37, 469--475 (1985; Zbl 0595.34061); translation from Mat. Zametki 37, No. 6, 857--868 (1985) Full Text: DOI
Andreev, L. V.; Obodan, N. I.; Lopatenko, A. P. Stability of the anisotropy of a cylindrical shell under a nonaxisymmetric load. (English. Russian original) Zbl 0594.73055 Sov. Appl. Mech. 21, 236-240 (1985); translation from Prikl. Mekh., Kiev 21, No. 3, 30-36 (1985). Reviewer: G.V.Vasiliev MSC: 74G99 74H99 74K15 74K25 74B20 74S30 PDFBibTeX XMLCite \textit{L. V. Andreev} et al., Sov. Appl. Mech. 21, 236--240 (1985; Zbl 0594.73055); translation from Prikl. Mekh., Kiev 21, No. 3, 30--36 (1985) Full Text: DOI
Tsuji, Mikio; Li, Tatsien Globally classical solutions for nonlinear equations of first order. (English) Zbl 0594.35052 Commun. Partial Differ. Equations 10, 1451-1463 (1985). Reviewer: M.-T.Lacroix MSC: 35G10 35K25 35K55 35A05 PDFBibTeX XMLCite \textit{M. Tsuji} and \textit{T. Li}, Commun. Partial Differ. Equations 10, 1451--1463 (1985; Zbl 0594.35052) Full Text: DOI
Metivier, Guy Uniqueness and approximation of solutions of first order nonlinear equations. (English) Zbl 0594.35018 Invent. Math. 82, 263-282 (1985). Reviewer: M.-T.Lacroix MSC: 35F20 35A35 35A05 PDFBibTeX XMLCite \textit{G. Metivier}, Invent. Math. 82, 263--282 (1985; Zbl 0594.35018) Full Text: DOI EuDML
van Duyn, C. J.; Hilhorst, D. The interface between fresh and salt groundwater in horizontally extended aquifers. (English) Zbl 0593.35117 Free boundary problems: applications and theory, Vol. III, Proc. Int. Colloq., Maubuisson/France 1984, Res. Notes Math. 120, 287-292 (1985). MSC: 35R35 35K60 35B40 35A05 PDFBibTeX XML
Kamin, S.; Peletier, L. A. Large and short time behaviour of solutions of the diffusion equation with absorption. (English) Zbl 0593.35114 Free boundary problems: applications and theory, Vol. III, Proc. Int. Colloq., Maubuisson/France 1984, Res. Notes Math. 120, 255-262 (1985). MSC: 35R35 35K60 35B40 PDFBibTeX XML
Ishii, Hitoshi Recent developments in the theory of Hamilton-Jacobi equations. (English) Zbl 0593.35062 100th Annivers. Bull. Chuo Univ., Tokyo 1985, 1-23 (1985). Reviewer: S.M.Lenhart MSC: 35L60 35F30 49L99 35A05 PDFBibTeX XML
Wieser, Wilfried On parabolic systems with variational structure. (English) Zbl 0593.35054 Manuscr. Math. 54, 53-82 (1985). Reviewer: P.Polacik MSC: 35K55 35K45 35K50 35A05 35J85 PDFBibTeX XMLCite \textit{W. Wieser}, Manuscr. Math. 54, 53--82 (1985; Zbl 0593.35054) Full Text: DOI EuDML
Kalashnikov, A. S. Nature of heat propagation in nonlinear media with significantly nonstationary properties. (English. Russian original) Zbl 0592.35073 Mosc. Univ. Math. Bull. 40, No. 4, 53-58 (1985); translation from Vestn. Mosk. Univ., Ser. I 1985, No. 4, 34-38 (1985). Reviewer: V.V.Vasil’ev MSC: 35K55 80A20 35D05 PDFBibTeX XMLCite \textit{A. S. Kalashnikov}, Mosc. Univ. Math. Bull. 40, No. 4, 53--58 (1985; Zbl 0592.35073); translation from Vestn. Mosk. Univ., Ser. I 1985, No. 4, 34--38 (1985)
Freedman, M. A. Existence of strong solutions to singular nonlinear evolution equations. (English) Zbl 0592.34042 Pac. J. Math. 120, 331-344 (1985). Reviewer: G.F.Webb MSC: 34G20 PDFBibTeX XMLCite \textit{M. A. Freedman}, Pac. J. Math. 120, 331--344 (1985; Zbl 0592.34042) Full Text: DOI
Kano, Tadayoshi; Nishida, Takaaki Une justification mathématique pour l’équation de Korteweg-de Vries approchant des ondes longues de surface de l’eau. (French) Zbl 0589.76030 Proc. Japan Acad., Ser. A 61, 345-348 (1985). MSC: 76B15 35Q99 PDFBibTeX XMLCite \textit{T. Kano} and \textit{T. Nishida}, Proc. Japan Acad., Ser. A 61, 345--348 (1985; Zbl 0589.76030) Full Text: DOI
Kim, Ho On the quasi-correctness of the inverse Cauchy problem and a quasi- reversive method solving a nonlinear parabolic equation. (Korean. English summary) Zbl 0589.35067 Math. Phys., Pyongyang 1985, No. 3, 1-8 (1985). MSC: 35K60 35R30 PDFBibTeX XMLCite \textit{H. Kim}, Math. Phys., Pyongyang 1985, No. 3, 1--8 (1985; Zbl 0589.35067)
Naumkin, P. I.; Shishmarev, I. A. On the Whitham equation with singular kernel and small interaction. (Russian) Zbl 0588.45006 Differ. Uravn. 21, No. 10, 1818-1819 (1985). Reviewer: Z.Binderman MSC: 45K05 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Differ. Uravn. 21, No. 10, 1818--1819 (1985; Zbl 0588.45006)
Naumkin, P. I.; Shishmarev, I. A. Inverting of waves for the Whitham equation with singular kernel. II. (Russian) Zbl 0588.45005 Differ. Uravn. 21, No. 10, 1775-1790 (1985). Reviewer: Z.Binderman MSC: 45K05 PDFBibTeX XMLCite \textit{P. I. Naumkin} and \textit{I. A. Shishmarev}, Differ. Uravn. 21, No. 10, 1775--1790 (1985; Zbl 0588.45005)
Pecher, Hartmut Low energy scttering for nonlinear Klein-Gordon equations. (English) Zbl 0588.35061 J. Funct. Anal. 63, 101-122 (1985). MSC: 35L70 47H10 35L05 35B40 PDFBibTeX XMLCite \textit{H. Pecher}, J. Funct. Anal. 63, 101--122 (1985; Zbl 0588.35061) Full Text: DOI
Hernández, V.; Jódar, L. Boundary problems and periodic Riccati equations. (English) Zbl 0588.34017 IEEE Trans. Autom. Control 30, 1131-1133 (1985). Reviewer: M.Idemen MSC: 34B15 34C25 93C15 PDFBibTeX XMLCite \textit{V. Hernández} and \textit{L. Jódar}, IEEE Trans. Autom. Control 30, 1131--1133 (1985; Zbl 0588.34017) Full Text: DOI
Krylov, A. Asymptotic approximation of solutions of weakly linear differential systems. (English. Russian original) Zbl 0587.35011 Lith. Math. J. 25, 137-145 (1985); translation from Litov. Mat. Sb. 25, No. 2, 102-113 (1985). MSC: 35F20 35C20 35B30 35A35 PDFBibTeX XMLCite \textit{A. Krylov}, Lith. Math. J. 25, 137--145 (1985; Zbl 0587.35011); translation from Litov. Mat. Sb. 25, No. 2, 102--113 (1985) Full Text: DOI
Ginibre, J.; Velo, G. The global Cauchy problem for the nonlinear Schrödinger equation revisited. (English) Zbl 0586.35042 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 2, 309-327 (1985). Reviewer: T.Ichinose MSC: 35J60 35Q99 35J10 35A05 49M15 PDFBibTeX XMLCite \textit{J. Ginibre} and \textit{G. Velo}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 2, 309--327 (1985; Zbl 0586.35042) Full Text: DOI Numdam EuDML
Sergienko, L. N. Solution of the Cauchy problem concerning the construction of an integral hypersurface for a first order partial differential equation. (Russian) Zbl 0586.35010 Ukr. Geom. Sb. 28, 123-126 (1985). Reviewer: S.Aizicovici MSC: 35F25 PDFBibTeX XMLCite \textit{L. N. Sergienko}, Ukr. Geom. Sb. 28, 123--126 (1985; Zbl 0586.35010)
Lair, Alan V. Uniqueness for a forward backward diffusion equation. (English) Zbl 0583.35058 Trans. Am. Math. Soc. 291, 311-317 (1985). Reviewer: T.A.Dzhangveladze MSC: 35K55 35B65 35K05 35B30 PDFBibTeX XMLCite \textit{A. V. Lair}, Trans. Am. Math. Soc. 291, 311--317 (1985; Zbl 0583.35058) Full Text: DOI
Herrero, Miguel A.; Pierre, Michel The Cauchy problem for \(u_ t=\Delta u^ m\) when \(0<m<1\). (English) Zbl 0583.35052 Trans. Am. Math. Soc. 291, 145-158 (1985). Reviewer: T.A.Dzhangveladze MSC: 35G10 35K25 35A05 35K15 35B40 PDFBibTeX XMLCite \textit{M. A. Herrero} and \textit{M. Pierre}, Trans. Am. Math. Soc. 291, 145--158 (1985; Zbl 0583.35052) Full Text: DOI
Nowotarska, Malgorzata Remark on the Chaplygin method for a system of first order partial differential-functional equations. (English) Zbl 0583.35017 Zesz. Nauk. Uniw. Jagielloń. 715, Pr. Mat. 25, 47-52 (1985). MSC: 35F20 35A25 35B65 PDFBibTeX XMLCite \textit{M. Nowotarska}, Zesz. Nauk. Uniw. Jagielloń. [...], Pr. Mat. 715(25), 47--52 (1985; Zbl 0583.35017)
Ardito, Ada; Vernole, Paola A delay parabolic Cauchy-Dirichlet problem in interpolation space. (English) Zbl 0582.35112 Nonlinear Anal., Theory Methods Appl. 9, 445-454 (1985). MSC: 35R10 35K60 46E35 35D05 35D10 PDFBibTeX XMLCite \textit{A. Ardito} and \textit{P. Vernole}, Nonlinear Anal., Theory Methods Appl. 9, 445--454 (1985; Zbl 0582.35112) Full Text: DOI
Li, Daqian; Qin, Tiehu [Li, Ta-Tsien] Global smooth solutions for a class of quasilinear hyperbolic systems with dissipative terms. (English) Zbl 0582.35079 Chin. Ann. Math., Ser. B 6, 199-210 (1985). Reviewer: E.C.Young MSC: 35L60 35L45 35L67 PDFBibTeX XMLCite \textit{D. Li} and \textit{T. Qin}, Chin. Ann. Math., Ser. B 6, 199--210 (1985; Zbl 0582.35079)
Francsics, G. On the porous medium equations with lower order singular nonlinear terms. (English) Zbl 0582.35062 Acta Math. Hung. 45, 425-436 (1985). MSC: 35K55 76S05 35K65 35M99 35B40 35B65 35K15 PDFBibTeX XMLCite \textit{G. Francsics}, Acta Math. Hung. 45, 425--436 (1985; Zbl 0582.35062) Full Text: DOI
Ferreyra, Guillermo S. On the degenerate parabolic partial differential equations of nonlinear filtering. (English) Zbl 0581.35026 Commun. Partial Differ. Equations 10, 555-634 (1985). Reviewer: N.A.Watson MSC: 35K15 35A05 PDFBibTeX XMLCite \textit{G. S. Ferreyra}, Commun. Partial Differ. Equations 10, 555--634 (1985; Zbl 0581.35026) Full Text: DOI
Acquistapace, Paolo; Terreni, Brunello Une méthode unifiée pour l’étude des équations linéaires nonautonomes, paraboliques dans les espaces de Banach. (A unified method for studying non autonomous linear parabolic equations in Banach spaces). (French) Zbl 0581.34047 C. R. Acad. Sci., Paris, Sér. I 301, 107-110 (1985). MSC: 34G20 34A12 PDFBibTeX XMLCite \textit{P. Acquistapace} and \textit{B. Terreni}, C. R. Acad. Sci., Paris, Sér. I 301, 107--110 (1985; Zbl 0581.34047)