Lai, Geng Interactions of rarefaction waves and rarefaction shocks of the two-dimensional compressible Euler equations with general equation of state. (English) Zbl 1522.35389 J. Dyn. Differ. Equations 35, No. 1, 381-419 (2023). MSC: 35Q31 76P05 76L05 76N15 35L65 35L60 35L67 PDFBibTeX XMLCite \textit{G. Lai}, J. Dyn. Differ. Equations 35, No. 1, 381--419 (2023; Zbl 1522.35389) Full Text: DOI
Xuan, Pham Truong Cauchy and Goursat problems for the generalized spin zero rest-mass equations on Minkowski spacetime. (English) Zbl 1484.83085 Classical Quantum Gravity 39, No. 3, Article ID 035007, 42 p. (2022). MSC: 83D05 35B30 51B20 53C18 49K40 14M27 PDFBibTeX XMLCite \textit{P. T. Xuan}, Classical Quantum Gravity 39, No. 3, Article ID 035007, 42 p. (2022; Zbl 1484.83085) Full Text: DOI arXiv
Dossa, Marcel; Tagne Wafo, Roger Solutions with a uniform time of existence of a class of characteristic semi-linear wave equations near \(S^+\). (English) Zbl 1437.35496 Commun. Partial Differ. Equations 44, No. 10, 940-989 (2019). MSC: 35L71 35L15 PDFBibTeX XMLCite \textit{M. Dossa} and \textit{R. Tagne Wafo}, Commun. Partial Differ. Equations 44, No. 10, 940--989 (2019; Zbl 1437.35496) Full Text: DOI arXiv
Chen, Jianjun; Lai, Geng Semi-hyperbolic patches of solutions to the two-dimensional compressible magnetohydrodynamic equations. (English) Zbl 1406.35266 Commun. Pure Appl. Anal. 18, No. 2, 943-958 (2019). MSC: 35Q35 35L65 35J70 35R35 35J65 76W05 76L05 76H05 76N10 PDFBibTeX XMLCite \textit{J. Chen} and \textit{G. Lai}, Commun. Pure Appl. Anal. 18, No. 2, 943--958 (2019; Zbl 1406.35266) Full Text: DOI
Chen, Jianjun; Yin, Gan The expansion of supersonic flows into a vacuum through a convex duct with limited length. (English) Zbl 1411.35200 Z. Angew. Math. Phys. 69, No. 4, Paper No. 101, 13 p. (2018). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35J70 35R35 35J65 76J20 35Q31 PDFBibTeX XMLCite \textit{J. Chen} and \textit{G. Yin}, Z. Angew. Math. Phys. 69, No. 4, Paper No. 101, 13 p. (2018; Zbl 1411.35200) Full Text: DOI
Lai, Geng On the expansion of a wedge of van der Waals gas into a vacuum. II. (English) Zbl 1354.35078 J. Differ. Equations 260, No. 4, 3538-3575 (2016). MSC: 35Q31 35L65 35J70 35R35 35J65 76N10 PDFBibTeX XMLCite \textit{G. Lai}, J. Differ. Equations 260, No. 4, 3538--3575 (2016; Zbl 1354.35078) Full Text: DOI
Lisachenko, Irina Vladimirovna; Sumin, Vladimir Iosifovich On singular control of a maximum principle for the problem of the Goursat-Darboux system optimization. (Russian. English summary) Zbl 1365.49022 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 25, No. 4, 483-491 (2015). MSC: 49K20 PDFBibTeX XMLCite \textit{I. V. Lisachenko} and \textit{V. I. Sumin}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 25, No. 4, 483--491 (2015; Zbl 1365.49022) Full Text: DOI MNR
Hu, Yanbo; Wang, Guodong The interaction of rarefaction waves of a two-dimensional nonlinear wave system. (English) Zbl 1326.35195 Nonlinear Anal., Real World Appl. 22, 1-15 (2015). MSC: 35L60 35L45 76N15 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{G. Wang}, Nonlinear Anal., Real World Appl. 22, 1--15 (2015; Zbl 1326.35195) Full Text: DOI
Lai, Geng; Shen, Chun Characteristic decompositions and boundary value problems for two-dimensional steady relativistic Euler equations. (English) Zbl 1292.35218 Math. Methods Appl. Sci. 37, No. 1, 136-147 (2014). MSC: 35Q31 35L65 35J70 35R35 35J65 PDFBibTeX XMLCite \textit{G. Lai} and \textit{C. Shen}, Math. Methods Appl. Sci. 37, No. 1, 136--147 (2014; Zbl 1292.35218) Full Text: DOI
Chernov, A. V. A generalization of Bihari’s lemma to the case of Volterra operators in Lebesgue spaces. (English. Russian original) Zbl 1285.47089 Math. Notes 94, No. 5, 703-714 (2013); translation from Mat. Zametki 94, No. 5, 757-769 (2013). Reviewer: Denis Sidorov (Irkutsk) MSC: 47N20 39B42 45N05 47H30 PDFBibTeX XMLCite \textit{A. V. Chernov}, Math. Notes 94, No. 5, 703--714 (2013; Zbl 1285.47089); translation from Mat. Zametki 94, No. 5, 757--769 (2013) Full Text: DOI
Kharibegashvili, S. The Cauchy-Goursat multidimensional problem for one class of nonlinear hyperbolic systems of second order. (English) Zbl 1288.35335 Proc. A. Razmadze Math. Inst. 162, 141-143 (2013). MSC: 35L51 35L71 PDFBibTeX XMLCite \textit{S. Kharibegashvili}, Proc. A. Razmadze Math. Inst. 162, 141--143 (2013; Zbl 1288.35335)
Liu, Cunming; Liu, Jianli Global classical solutions to the Goursat problem for first-order quasilinear hyperbolic systems. (Chinese. English summary) Zbl 1289.35214 Acta Math. Sin., Chin. Ser. 56, No. 2, 145-154 (2013). MSC: 35L50 35L60 PDFBibTeX XMLCite \textit{C. Liu} and \textit{J. Liu}, Acta Math. Sin., Chin. Ser. 56, No. 2, 145--154 (2013; Zbl 1289.35214)
Coron, Jean-Michel; Vazquez, Rafael; Krstic, Miroslav; Bastin, Georges Local exponential \(H^2\) stabilization of a \(2\times 2\) quasilinear hyperbolic system using backstepping. (English) Zbl 1408.35009 SIAM J. Control Optim. 51, No. 3, 2005-2035 (2013). MSC: 35F30 35F25 93D20 93D30 PDFBibTeX XMLCite \textit{J.-M. Coron} et al., SIAM J. Control Optim. 51, No. 3, 2005--2035 (2013; Zbl 1408.35009) Full Text: DOI arXiv
Makarov, V. L.; Dragunov, D. V.; Sember, D. A. FD-method for solving the nonlinear Klein-Gordon equation. (English) Zbl 1277.65072 Ukr. Math. J. 64, No. 10, 1586-1609 (2013); translation from Ukr. Mat. Zh. 64, No. 10, 1394-1415 (2012). Reviewer: Petr Sváček (Praha) MSC: 65M06 35Q35 65M12 PDFBibTeX XMLCite \textit{V. L. Makarov} et al., Ukr. Math. J. 64, No. 10, 1586--1609 (2013; Zbl 1277.65072); translation from Ukr. Mat. Zh. 64, No. 10, 1394--1415 (2012) Full Text: DOI
Lisachenko, I. V.; Sumin, V. I. On singular controls in the sense of the maximum principle for terminal optimization problem connected with Goursat-Darboux system. (Russian. English summary) Zbl 1305.93094 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 2012, No. 1(39), 80-81 (2012). MSC: 93C23 PDFBibTeX XMLCite \textit{I. V. Lisachenko} and \textit{V. I. Sumin}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 2012, No. 1(39), 80--81 (2012; Zbl 1305.93094) Full Text: MNR
Liu, Cunming Blow-up mechanism of classical solutions to Goursat problem for quasilinear hyperbolic systems. (English) Zbl 1265.35205 Chin. J. Eng. Math. 29, No. 1, 131-153 (2012). MSC: 35L50 35L60 35B44 35B40 35L67 35A09 PDFBibTeX XMLCite \textit{C. Liu}, Chin. J. Eng. Math. 29, No. 1, 131--153 (2012; Zbl 1265.35205)
Yu, Lixin Global exact boundary observability for first-order quasilinear hyperbolic systems of diagonal form. (English) Zbl 1250.35138 Math. Methods Appl. Sci. 35, No. 13, 1505-1517 (2012). MSC: 35L50 37B55 49J20 93B05 PDFBibTeX XMLCite \textit{L. Yu}, Math. Methods Appl. Sci. 35, No. 13, 1505--1517 (2012; Zbl 1250.35138) Full Text: DOI
Lisachenko, I. V.; Sumin, V. I. The maximum principle for terminal optimization problem connected with Goursat-Darboux system in the class of functions having summable mixed derivatives. (Russian. English summary) Zbl 1299.49022 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 2011, No. 2, 52-67 (2011). MSC: 49K20 PDFBibTeX XMLCite \textit{I. V. Lisachenko} and \textit{V. I. Sumin}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 2011, No. 2, 52--67 (2011; Zbl 1299.49022) Full Text: DOI MNR
Zhiber, A. V.; Kostrigina, O. S. Goursat problem for nonlinear hyperbolic systems with integrals of the first and second order. (Russian. English summary) Zbl 1249.35212 Ufim. Mat. Zh. 3, No. 3, 67-79 (2011). Reviewer: Svetlana A. Grishina (Ul’yanovsk) MSC: 35L51 PDFBibTeX XMLCite \textit{A. V. Zhiber} and \textit{O. S. Kostrigina}, Ufim. Mat. Zh. 3, No. 3, 67--79 (2011; Zbl 1249.35212)
Lisachenko, I. V.; Sumin, V. I. Nonlinear Goursat-Darboux control problem: conditions for the preservation of global solvability. (English. Russian original) Zbl 1229.93093 Differ. Equ. 47, No. 6, 863-876 (2011); translation from Differ. Uravn. 47, No. 6, 858-870 (2011). MSC: 93C15 93C10 34H05 PDFBibTeX XMLCite \textit{I. V. Lisachenko} and \textit{V. I. Sumin}, Differ. Equ. 47, No. 6, 863--876 (2011; Zbl 1229.93093); translation from Differ. Uravn. 47, No. 6, 858--870 (2011) Full Text: DOI
Gou, Kun; Sun, Bo Numerical solution of the Goursat problem on a triangular domain with mixed boundary conditions. (English) Zbl 1225.65105 Appl. Math. Comput. 217, No. 21, 8765-8777 (2011). Reviewer: Adrian Carabineanu (Bucureşti) MSC: 65N22 35J60 65N15 PDFBibTeX XMLCite \textit{K. Gou} and \textit{B. Sun}, Appl. Math. Comput. 217, No. 21, 8765--8777 (2011; Zbl 1225.65105) Full Text: DOI
Mori, Hiroshi; Shimakura, Norio Isometric immersions of Euclidean plane into Euclidean 4-space with vanishing normal curvature. (English) Zbl 1187.53063 Tohoku Math. J. (2) 61, No. 4, 523-550 (2009). MSC: 53C42 35L70 PDFBibTeX XMLCite \textit{H. Mori} and \textit{N. Shimakura}, Tôhoku Math. J. (2) 61, No. 4, 523--550 (2009; Zbl 1187.53063) Full Text: DOI
Chang, Shih-Hsiang; Chang, I-Ling A new algorithm for calculating two-dimensional differential transform of nonlinear functions. (English) Zbl 1179.65121 Appl. Math. Comput. 215, No. 7, 2486-2494 (2009). MSC: 65M22 35F25 35G25 PDFBibTeX XMLCite \textit{S.-H. Chang} and \textit{I-L. Chang}, Appl. Math. Comput. 215, No. 7, 2486--2494 (2009; Zbl 1179.65121) Full Text: DOI
Bang, Seunghoon Interaction of three and four rarefaction waves of the pressure-gradient system. (English) Zbl 1161.35032 J. Differ. Equations 246, No. 2, 453-481 (2009). Reviewer: Chen Shuxing (Shanghai) MSC: 35L60 35L45 35L65 PDFBibTeX XMLCite \textit{S. Bang}, J. Differ. Equations 246, No. 2, 453--481 (2009; Zbl 1161.35032) Full Text: DOI
Wazwaz, Abdul-Majid The variational iteration method for a reliable treatment of the linear and the nonlinear goursat problem. (English) Zbl 1193.65185 Appl. Math. Comput. 193, No. 2, 455-462 (2007). MSC: 65M99 35L70 35A15 35C05 35L20 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 193, No. 2, 455--462 (2007; Zbl 1193.65185) Full Text: DOI
Dobryden’, A. V. The boundary value Goursat-Darboux problem. (Ukrainian. English summary) Zbl 1164.65443 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 14-15, 55-62 (2007). MSC: 35F31 35L72 35A01 35A02 PDFBibTeX XMLCite \textit{A. V. Dobryden'}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 14--15, 55--62 (2007; Zbl 1164.65443)
Houpa, D. E.; Dossa, Marcel Formal solutions of semilinear hyperbolic Goursat problems. I: Semi-global solutions of integral systems associated to Kirchhoff formulas. (Solutions semi-globales de problemes de Goursat semi-linéaires hyperboliques. I: Solutions semi-globales du système intégral des formules de Kirchoff associées.) (French. English summary) Zbl 1204.35113 IMHOTEP, J. Afr. Math. Pures Appl. 7, 15-100 (2007). Reviewer: Jean Vaillant (Paris) MSC: 35L52 45G15 35C15 35L71 PDFBibTeX XMLCite \textit{D. E. Houpa} and \textit{M. Dossa}, IMHOTEP, J. Afr. Math. Pures Appl. 7, 15--100 (2007; Zbl 1204.35113)
Tutschke, Wolfgang Solution of a Goursat problem in optimal domains. (English) Zbl 1219.35142 Georgian Math. J. 14, No. 1, 195-202 (2007). MSC: 35L70 47N20 PDFBibTeX XMLCite \textit{W. Tutschke}, Georgian Math. J. 14, No. 1, 195--202 (2007; Zbl 1219.35142) Full Text: DOI Link
Dévoué, Victor On generalized solutions to the wave equation in canonical form. (English) Zbl 1195.35195 Diss. Math. 443, 69 p. (2007). MSC: 35L05 46F30 35D30 35L15 PDFBibTeX XMLCite \textit{V. Dévoué}, Diss. Math. 443, 69 p. (2007; Zbl 1195.35195) Full Text: DOI
Bobenko, A. I.; Matthes, D.; Suris, Yu. B. Nonlinear hyperbolic equations in surface theory: integrable discretizations and approximation results. (English) Zbl 1098.53005 St. Petersbg. Math. J. 17, No. 1, 39-61 (2006) and Algebra Anal. 17, No. 1, 53-83 (2005). Reviewer: Iskander A. Taimanov (Novosibirsk) MSC: 53A10 37K10 37K25 35L70 35Q53 PDFBibTeX XMLCite \textit{A. I. Bobenko} et al., St. Petersbg. Math. J. 17, No. 1, 39--61 (2006; Zbl 1098.53005) Full Text: DOI arXiv
Massalitina, E. V. Estimation of a function satisfying the Goursat problem. (Ukrainian. English summary) Zbl 1093.35524 Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 711, No. 55, 8-16 (2005). MSC: 35L70 PDFBibTeX XMLCite \textit{E. V. Massalitina}, Visn. Khark. Univ., Ser. Mat. Prykl. Mat. Mekh. 711, No. 55, 8--16 (2005; Zbl 1093.35524)
Sakhnovich, Alexander Second harmonic generation: Goursat problem on the semi-strip, Weyl functions and explicit solutions. (English) Zbl 1070.35054 Inverse Probl. 21, No. 2, 703-716 (2005). MSC: 35Q40 37K15 37K40 35C05 PDFBibTeX XMLCite \textit{A. Sakhnovich}, Inverse Probl. 21, No. 2, 703--716 (2005; Zbl 1070.35054) Full Text: DOI arXiv
Ibiev, Fikrat T.; Sharifov, Yagub A. Necessary optimality conditions in problems of optimal control by the Goursat systems with multipoint boundary conditions. (English) Zbl 1093.49019 Trans. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 24, No. 7, Math. Mech., 227-234 (2004). Reviewer: Gheorghe Aniculăesei (Iaşi) MSC: 49K20 35L70 PDFBibTeX XMLCite \textit{F. T. Ibiev} and \textit{Y. A. Sharifov}, Trans. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 24, No. 7, Math. Mech., 227--234 (2004; Zbl 1093.49019)
Gvazava, J. The mean value property for nonstrictly hyperbolic second order quasilinear equations and the nonlocal problems. (English) Zbl 1065.35202 Proc. A. Razmadze Math. Inst. 135, 79-96 (2004). MSC: 35L80 35L70 35L20 35L75 PDFBibTeX XMLCite \textit{J. Gvazava}, Proc. A. Razmadze Math. Inst. 135, 79--96 (2004; Zbl 1065.35202)
Khruslov, Eugene; Kotlyarov, Vladimir Generation of asymptotic solitons in an integrable model of stimulated Raman scattering by periodic boundary data. (English) Zbl 1061.37057 Mat. Fiz. Anal. Geom. 10, No. 3, 366-384 (2003). MSC: 37K40 35Q51 37N20 37K15 78A45 PDFBibTeX XMLCite \textit{E. Khruslov} and \textit{V. Kotlyarov}, Mat. Fiz. Anal. Geom. 10, No. 3, 366--384 (2003; Zbl 1061.37057)
Rego, V. L. On some modifications of a bilateral method of approximate integration of the Goursat problem for system of wave equations. (Ukrainian. English summary) Zbl 1012.65107 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 6, 111-119 (2001). Reviewer: A.D.Borisenko (Kyïv) MSC: 65N12 35J65 65N06 PDFBibTeX XMLCite \textit{V. L. Rego}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 6, 111--119 (2001; Zbl 1012.65107)
Liu, Fagui Global solutions for systems of isentropic flow with dissipative terms. (English) Zbl 0984.35098 J. Henan Norm. Univ., Nat. Sci. 29, No. 1, 9-12 (2001). MSC: 35L45 35L60 76N15 PDFBibTeX XMLCite \textit{F. Liu}, J. Henan Norm. Univ., Nat. Sci. 29, No. 1, 9--12 (2001; Zbl 0984.35098)
Kaup, D. J.; Steudel, H. Virtual solitons and the asymptotics of second harmonic generation. (English) Zbl 0988.35160 Inverse Probl. 17, No. 4, 959-970 (2001). MSC: 35Q60 37K15 78A60 PDFBibTeX XMLCite \textit{D. J. Kaup} and \textit{H. Steudel}, Inverse Probl. 17, No. 4, 959--970 (2001; Zbl 0988.35160) Full Text: DOI
Valmorin, V. Generalized solutions of a periodic Goursat problem. (English) Zbl 0993.46020 J. Appl. Anal. 7, No. 1, 43-59 (2001). Reviewer: P.K.Banerji (Jodhpur) MSC: 46F10 46F30 42B05 35D99 PDFBibTeX XMLCite \textit{V. Valmorin}, J. Appl. Anal. 7, No. 1, 43--59 (2001; Zbl 0993.46020) Full Text: DOI
Kiselev, O. M. Perturbation of a solitary wave of the nonlinear Klein-Gordon equation. (English. Russian original) Zbl 0946.35083 Sib. Math. J. 41, No. 2, 281-293 (2000); translation from Sib. Mat. Zh. 41, No. 2, 345-358 (2000). Reviewer: S.G.Pyatkov (Novosibirsk) MSC: 35Q53 37K40 35C20 35L70 35B30 PDFBibTeX XMLCite \textit{O. M. Kiselev}, Sib. Math. J. 41, No. 2, 345--358 (2000; Zbl 0946.35083); translation from Sib. Mat. Zh. 41, No. 2, 345--358 (2000) Full Text: DOI EuDML
Marti, J.-A.; Nuiro, S. P. Algebraic investigation of a nonlinear and singular Dirichlet problem. (Analyse algébrique d’un problème de Dirichlet non linéaire et singulier.) (French) Zbl 0959.46028 Topol. Methods Nonlinear Anal. 13, No. 2, 301-311 (1999). Reviewer: J.V.Whittaker (Vancouver) MSC: 46F30 46E25 46E10 47F05 35D05 PDFBibTeX XMLCite \textit{J. A. Marti} and \textit{S. P. Nuiro}, Topol. Methods Nonlinear Anal. 13, No. 2, 301--311 (1999; Zbl 0959.46028) Full Text: DOI
Komech, Alexander On transitions to stationary states in one-dimensional nonlinear wave equations. (English) Zbl 0939.35030 Arch. Ration. Mech. Anal. 149, No. 3, 213-228 (1999). Reviewer: H.Tanabe (Toyonaka) MSC: 35B40 35L70 35L15 35B41 PDFBibTeX XMLCite \textit{A. Komech}, Arch. Ration. Mech. Anal. 149, No. 3, 213--228 (1999; Zbl 0939.35030) Full Text: DOI
Grigolia, M. On the existence and uniqueness of solutions of the Goursat problem for systems of functional partial differential equations of hyperbolic type. (English) Zbl 0940.35201 Mem. Differ. Equ. Math. Phys. 16, 154-158 (1999). Reviewer: Peixuan Weng (Guangzhou) MSC: 35R10 35L45 35L70 PDFBibTeX XMLCite \textit{M. Grigolia}, Mem. Differ. Equ. Math. Phys. 16, 154--158 (1999; Zbl 0940.35201) Full Text: EuDML
Rego, V. L. Goursat boundary value problem. (Ukrainian. English summary) Zbl 0974.65097 Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 3, 171-173 (1998). Reviewer: A.D.Borisenko (Kyïv) MSC: 65N06 35G30 PDFBibTeX XMLCite \textit{V. L. Rego}, Nauk. Visn. Uzhgorod. Univ., Ser. Mat. 3, 171--173 (1998; Zbl 0974.65097)
Khaĭrullin, N. Kh. Multivariate central waves of quasilinear systems. (English. Russian original) Zbl 0930.35039 Russ. Math. 42, No. 3, 74-77 (1998); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1998, No. 3, 78-81 (1998). MSC: 35F25 35A10 PDFBibTeX XMLCite \textit{N. Kh. Khaĭrullin}, Russ. Math. 42, No. 3, 74--77 (1998; Zbl 0930.35039); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1998, No. 3, 78--81 (1998)
Denisov, A. M. Determination of a nonlinear coefficient in a hyperbolic equation for the Goursat problem. (English) Zbl 0916.35134 J. Inverse Ill-Posed Probl. 6, No. 4, 327-334 (1998). MSC: 35R30 35L70 PDFBibTeX XMLCite \textit{A. M. Denisov}, J. Inverse Ill-Posed Probl. 6, No. 4, 327--334 (1998; Zbl 0916.35134) Full Text: DOI
Marcati, Pierangelo; Rubino, Bruno Entropy methods for nonstrictly hyperbolic systems. (English) Zbl 0891.35091 J. Partial Differ. Equations 10, No. 4, 333-346 (1997). MSC: 35L65 35L70 PDFBibTeX XMLCite \textit{P. Marcati} and \textit{B. Rubino}, J. Partial Differ. Equations 10, No. 4, 333--346 (1997; Zbl 0891.35091)
Fang, Daoyuan; Gong, Xiaoqing Multidimensional Goursat problem for semilinear hyperbolic equations. (English) Zbl 0854.35072 Appl. Math., Ser. B (Engl. Ed.) 11, No. 1, 43-50 (1996). MSC: 35L70 35B65 35L20 PDFBibTeX XMLCite \textit{D. Fang} and \textit{X. Gong}, Appl. Math., Ser. B (Engl. Ed.) 11, No. 1, 43--50 (1996; Zbl 0854.35072) Full Text: DOI
Gourdin, Daniel; Mechab, Mustapha Global solutions of the nonlinear Goursat problem. (Solutions globales du problème de Goursat non linéaire.) (French) Zbl 0858.35024 C. R. Acad. Sci., Paris, Sér. I 322, No. 8, 717-720 (1996). MSC: 35G20 45K05 PDFBibTeX XMLCite \textit{D. Gourdin} and \textit{M. Mechab}, C. R. Acad. Sci., Paris, Sér. I 322, No. 8, 717--720 (1996; Zbl 0858.35024)
Wazwaz, Abdul-Majid The decomposition method for approximate solution of the Goursat problem. (English) Zbl 0826.65077 Appl. Math. Comput. 69, No. 2-3, 299-311 (1995). Reviewer: K.Zlateva (Russe) MSC: 65M06 35L60 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 69, No. 2--3, 299--311 (1995; Zbl 0826.65077) Full Text: DOI
Khairullin, N. Kh. Goursat problem for quasilinear systems in invariants. (English. Russian original) Zbl 0834.35079 Russ. Math. 38, No. 10, 85-86 (1994); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 10 (389), 89-90 (1994). MSC: 35L60 35A07 35L45 PDFBibTeX XMLCite \textit{N. Kh. Khairullin}, Russ. Math. 38, No. 10, 85--86 (1994; Zbl 0834.35079); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1994, No. 10 (389), 89--90 (1994)
Fang, Daoyuan Multidimensional Goursat problem for semilinear wave equations. (English) Zbl 0838.35077 Appl. Math., Ser. B (Engl. Ed.) 9, No. 4, 339-348 (1994). Reviewer: Wang Jinghua (Beijing) MSC: 35L70 35L20 35B65 PDFBibTeX XMLCite \textit{D. Fang}, Appl. Math., Ser. B (Engl. Ed.) 9, No. 4, 339--348 (1994; Zbl 0838.35077) Full Text: DOI
Borzymowski, Andrzej A Goursat problem for a system of integro-differential equations of hyperbolic type. (English) Zbl 0822.45006 Discuss. Math. 14, 39-51 (1994). Reviewer: M.Tarabek (Carbondale) MSC: 45K05 45G15 PDFBibTeX XMLCite \textit{A. Borzymowski}, Discuss. Math. 14, 39--51 (1994; Zbl 0822.45006)
Gourdin, Daniel; Mechab, Mustapha Nonlinear Goursat problem in Gevrey spaces. (Problème de Goursat non linéaire, dans les espaces de Gevrey.) (French) Zbl 0820.35031 C. R. Acad. Sci., Paris, Sér. I 319, No. 12, 1269-1272 (1994). MSC: 35G20 45K05 PDFBibTeX XMLCite \textit{D. Gourdin} and \textit{M. Mechab}, C. R. Acad. Sci., Paris, Sér. I 319, No. 12, 1269--1272 (1994; Zbl 0820.35031)
Idczak, D.; Walczak, S. On the existence of the Carathéodory solutions for some boundary value problems. (English) Zbl 0808.35013 Rocky Mt. J. Math. 24, No. 1, 115-127 (1994). MSC: 35D05 35G30 PDFBibTeX XMLCite \textit{D. Idczak} and \textit{S. Walczak}, Rocky Mt. J. Math. 24, No. 1, 115--127 (1994; Zbl 0808.35013) Full Text: DOI
Filimonov, M. Yu.; Korzunin, L. G.; Sidorov, A. F. Approximate methods for solving nonlinear initial-boundary value problems based on special constructions of series. (English) Zbl 0820.76079 Russ. J. Numer. Anal. Math. Model. 8, No. 2, 101-125 (1993). MSC: 76S05 76M25 35Q35 PDFBibTeX XMLCite \textit{M. Yu. Filimonov} et al., Russ. J. Numer. Anal. Math. Model. 8, No. 2, 101--125 (1993; Zbl 0820.76079) Full Text: DOI
Idczak, D. Nonlinear Goursat-Darboux problem and its optimization. (English) Zbl 0822.35013 Zag. Drgań Nieliniowych 25, 143-157 (1993). MSC: 35B37 35B50 35A05 PDFBibTeX XMLCite \textit{D. Idczak}, Zag. Drgań Nieliniowych 25, 143--157 (1993; Zbl 0822.35013)
Wazwaz, Abdul-Majid On the numerical solution of the Goursat problem. (English) Zbl 0790.65090 Appl. Math. Comput. 59, No. 1, 89-95 (1993). Reviewer: J.D.P.Donnelly (Oxford) MSC: 65N06 35L70 PDFBibTeX XMLCite \textit{A.-M. Wazwaz}, Appl. Math. Comput. 59, No. 1, 89--95 (1993; Zbl 0790.65090) Full Text: DOI
Bitsadze, R. G. Some problems for a quasilinear equation of nonlinear oscillations. (Russian. English summary) Zbl 1014.35062 Tr. Inst. Prikl. Mat. Im. I. N. Vekua 46, 44-51 (1992). MSC: 35L70 35A05 PDFBibTeX XMLCite \textit{R. G. Bitsadze}, Tr. Inst. Prikl. Mat. Im. I. N. Vekua 46, 44--51 (1992; Zbl 1014.35062)
Zhou, Yi Goursat problem for reducible quasi-linear hyperbolic systems. (Chinese) Zbl 0812.35074 Chin. Ann. Math., Ser. A 13, No. 4, 437-441 (1992). Reviewer: Chen Shuxing (Shanghai) MSC: 35L45 35L60 PDFBibTeX XMLCite \textit{Y. Zhou}, Chin. Ann. Math., Ser. A 13, No. 4, 437--441 (1992; Zbl 0812.35074)
Makhmudov, A. P.; Le Duc Kiem Approximation of solutions of Goursat’s problem for a nonlinear equation of hyperbolic type by Bernstein type polynomials. (English. Russian original) Zbl 0829.35065 Ukr. Math. J. 44, No. 8, 1018-1025 (1992); translation from Ukr. Mat. Zh. 44, No. 8, 1116-1123 (1992). Reviewer: E.Feireisl (Praha) MSC: 35L10 35L70 PDFBibTeX XMLCite \textit{A. P. Makhmudov} and \textit{Le Duc Kiem}, Ukr. Mat. Zh. 44, No. 8, 1116--1123 (1992; Zbl 0829.35065); translation from Ukr. Mat. Zh. 44, No. 8, 1116--1123 (1992) Full Text: DOI
Firmani, B. Continuous dependence on the data of the solution of a singular Goursat problem. (Italian. English summary) Zbl 0794.35105 Rend. Mat. Appl., VII. Ser. 12, No. 3, 749-768 (1992). MSC: 35L70 35B30 35L15 35L20 PDFBibTeX XMLCite \textit{B. Firmani}, Rend. Mat. Appl., VII. Ser. 12, No. 3, 749--768 (1992; Zbl 0794.35105)
Teodoru, Georgeta An application of Fryszkowski selection theorem to the Goursat problem for a multivalued equation. (English) Zbl 0796.35112 Math., Rev. Anal. Numér. Théor. Approximation, Math. 33(56), No. 1-2, 81-85 (1991). Reviewer: Lu Jiping (Quing das) MSC: 35L70 35R70 PDFBibTeX XMLCite \textit{G. Teodoru}, Math. Rev. Anal. Numér. Théor. Approximation, Math. 33(56), No. 1--2, 81--85 (1991; Zbl 0796.35112)
Zhu, Guangshan; Ting, T. C. T. Wave curves with the presence of an umbilic point and an umbilic line for plane waves in isotropic elastic solids. (English) Zbl 0746.73007 Wave Motion 13, No. 3, 277-290 (1991). MSC: 74J10 74B20 35L67 35L05 35L65 PDFBibTeX XMLCite \textit{G. Zhu} and \textit{T. C. T. Ting}, Wave Motion 13, No. 3, 277--290 (1991; Zbl 0746.73007) Full Text: DOI
Baez, John C.; Segal, Irving E.; Zhou, Zhengfang The global Goursat problem and scattering for nonlinear wave equations. (English) Zbl 0724.35105 J. Funct. Anal. 93, No. 2, 239-269 (1990). Reviewer: M.Idemen (İstanbul) MSC: 35Q75 35L70 35P25 83C05 PDFBibTeX XMLCite \textit{J. C. Baez} et al., J. Funct. Anal. 93, No. 2, 239--269 (1990; Zbl 0724.35105) Full Text: DOI
Zhestkov, S. V. The Goursat problem with integral boundary conditions. (English. Russian original) Zbl 0716.35044 Ukr. Math. J. 42, No. 1, 119-122 (1990); translation from Ukr. Mat. Zh. 42, No. 1, 132-135 (1990). Reviewer: V.Chernyatin MSC: 35L70 47H10 PDFBibTeX XMLCite \textit{S. V. Zhestkov}, Ukr. Math. J. 42, No. 1, 119--122 (1990; Zbl 0716.35044); translation from Ukr. Mat. Zh. 42, No. 1, 132--135 (1990) Full Text: DOI
Teodoru, Georgeta Continuous selections of multi-valued maps with non-convex right-hand side and the Goursat problem for the multi-valued hyperbolic equation \(\frac{\partial ^ 2z}{\partial x\partial y}\in F(x,y,z)\). (English) Zbl 0721.35094 Math., Rev. Anal. Numér. Théor. Approximation, Math. 31(54), No. 2, 171-179 (1989). MSC: 35R70 35L70 47H10 PDFBibTeX XMLCite \textit{G. Teodoru}, Math. Rev. Anal. Numér. Théor. Approximation, Math. 31(54), No. 2, 171--179 (1989; Zbl 0721.35094)
Sakhnovich, A. L. The Goursat problem for the sine-Gordon equation. (Russian. English summary) Zbl 0708.35082 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 12, 14-17 (1989). Reviewer: A.L.Sakhnovich MSC: 35Q53 35R30 35P99 PDFBibTeX XMLCite \textit{A. L. Sakhnovich}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1989, No. 12, 14--17 (1989; Zbl 0708.35082)
Evans, D. J.; Sanugi, B. B. Errata: Numerical solution of the Goursat problem by a nonlinear trapezoidal formula. (English) Zbl 0705.65063 Appl. Math. Lett. 2, No. 1, 109 (1989). MSC: 65M06 35L70 PDFBibTeX XML
Baez, John C.; Zhou, Zhengfang The global Goursat problem on \(R\times S^ 1\). (English) Zbl 0703.35004 J. Funct. Anal. 83, No. 2, 364-382 (1989). Reviewer: K.M.Ramachandran MSC: 35A07 35L70 PDFBibTeX XMLCite \textit{J. C. Baez} and \textit{Z. Zhou}, J. Funct. Anal. 83, No. 2, 364--382 (1989; Zbl 0703.35004) Full Text: DOI
Baez, John C. Scattering and the geometry of the solution manifold of \(\square f+\lambda f^ 3=0\). (English) Zbl 0701.35119 J. Funct. Anal. 83, No. 2, 317-332 (1989). Reviewer: L.Shih MSC: 35P25 35L70 35Q75 PDFBibTeX XMLCite \textit{J. C. Baez}, J. Funct. Anal. 83, No. 2, 317--332 (1989; Zbl 0701.35119) Full Text: DOI
Chen, Shuxing On reflection of multidimensional shock front. (English) Zbl 0693.35106 J. Differ. Equations 80, No. 2, 199-236 (1989). Reviewer: R.Saxton MSC: 35L60 35L67 35A35 76B47 35L50 PDFBibTeX XMLCite \textit{S. Chen}, J. Differ. Equations 80, No. 2, 199--236 (1989; Zbl 0693.35106) Full Text: DOI
Borzymowski, Andrzej; Sadowski, Antoni A nonlinear boundary value problem for Mangeron’s polywave equation in \(\mathbb{R}{}^ 3\)-space. (English) Zbl 0771.35073 Bull. Cl. Sci., V. Sér., Acad. R. Belg. 74, No. 11, 365-375 (1988). Reviewer: A. Okuyama (Kobe) MSC: 35R10 PDFBibTeX XMLCite \textit{A. Borzymowski} and \textit{A. Sadowski}, Bull. Cl. Sci., V. Sér., Acad. R. Belg. 74, No. 11, 365--375 (1988; Zbl 0771.35073)
Michalski, Marek W. On a certain boundary-value problem for a polyvibrating equation. (English) Zbl 0716.45013 Acta Math. Univ. Comenianae 54-55, 7-13 (1988). MSC: 45K05 45G10 45N05 PDFBibTeX XMLCite \textit{M. W. Michalski}, Acta Math. Univ. Comenianae 54--55, 7--13 (1988; Zbl 0716.45013)
Borzymowski, Andrzej; Michalski, Marek W. A nonlinear boundary value problem for a system of hyperbolic partial differential equations. (English) Zbl 0706.35087 Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 82, No. 2, 235-247 (1988). Reviewer: H.-J.Böttger MSC: 35L75 35L55 47H10 45G05 PDFBibTeX XMLCite \textit{A. Borzymowski} and \textit{M. W. Michalski}, Rev. R. Acad. Cienc. Exactas Fís. Nat. Madr. 82, No. 2, 235--247 (1988; Zbl 0706.35087) Full Text: EuDML
Evans, D. J.; Sanugi, B. B. Numerical solution of the Goursat problem by a nonlinear trapezoidal formula. (English) Zbl 0656.65084 Appl. Math. Lett. 1, No. 3, 221-223 (1988). MSC: 65M06 35L70 PDFBibTeX XMLCite \textit{D. J. Evans} and \textit{B. B. Sanugi}, Appl. Math. Lett. 1, No. 3, 221--223 (1988; Zbl 0656.65084) Full Text: DOI
D’Acunto, B.; D’Anna, A.; Renno, P. On the motion of a viscoelastic solid in the presence of a rigid wall. II. Impact laws for the hereditary case. Solution of the unilateral problem. (English) Zbl 0632.73018 Int. J. Non-Linear Mech. 23, No. 1, 67-85 (1988). MSC: 74M20 74D99 35L85 74S30 74D05 74D10 47F05 PDFBibTeX XMLCite \textit{B. D'Acunto} et al., Int. J. Non-Linear Mech. 23, No. 1, 67--85 (1988; Zbl 0632.73018) Full Text: DOI
Firmani, Bruno On a singular Goursat problem for the equation \(u_{xy}=f(x,y,u,u_ x,u_ y)\). (Italian. English summary) Zbl 0695.35126 Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 81, No. 1, 1-6 (1987). MSC: 35L70 35L20 PDFBibTeX XMLCite \textit{B. Firmani}, Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 81, No. 1, 1--6 (1987; Zbl 0695.35126)
Xiao, Yingkun; Zhan, Shenghe The method of upper, lower solutions and Cauchy problem for nonlinear hyperbolic equation. (Chinese. English summary) Zbl 0674.35059 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 1987, No. 1, 24-28 (1987). Reviewer: J.Tian MSC: 35L70 35L15 35B35 35A05 PDFBibTeX XMLCite \textit{Y. Xiao} and \textit{S. Zhan}, J. Jiangxi Norm. Univ., Nat. Sci. Ed. 1987, No. 1, 24--28 (1987; Zbl 0674.35059)
Gvazava, D. K. On second order nonlinear equations with complete characteristic systems and characteristic problems for them. (Russian) Zbl 0668.35012 Tr. Tbilis. Mat. Inst. Razmadze 87, 45-53 (1987). Reviewer: H.Kilp MSC: 35G20 35A05 35A30 PDFBibTeX XMLCite \textit{D. K. Gvazava}, Proc. A. Razmadze Math. Inst. 87, 45--53 (1987; Zbl 0668.35012)
Dobner, H.-J. Bounds for the solution of hyperbolic problems. (English) Zbl 0629.65103 Computing 38, 209-218 (1987). Reviewer: E.V.Nicolau MSC: 65M15 35L70 PDFBibTeX XMLCite \textit{H. J. Dobner}, Computing 38, 209--218 (1987; Zbl 0629.65103) Full Text: DOI
Vassiliou, P. J. Coupled systems of nonlinear wave equations and finite-dimensional Lie algebras. II: A nonlinear system arising from the group \(G_{6,1}\) and its exact integration. (English) Zbl 0624.58028 Acta Appl. Math. 8, 149-163 (1987). Reviewer: S.Bajzaev MSC: 58J45 22E30 PDFBibTeX XMLCite \textit{P. J. Vassiliou}, Acta Appl. Math. 8, 149--163 (1987; Zbl 0624.58028) Full Text: DOI
Guo, Xianzhong Approximate solution of the Goursat problem by the finite element method. (Chinese. English summary) Zbl 0622.65102 Numer. Math., Nanjing 8, 354-360 (1986). Reviewer: Guo Boling MSC: 65N30 65N15 35L70 PDFBibTeX XMLCite \textit{X. Guo}, Numer. Math., Nanjing 8, 354--360 (1986; Zbl 0622.65102)
Métivier, Guy Interaction de deux chocs pour un système de deux lois de conservation, en dimension deux d’espace. (Interaction of two shock waves for a system with two conservation laws in two dimensional space). (French) Zbl 0619.35075 Trans. Am. Math. Soc. 296, 431-479 (1986). Reviewer: G.Boillat MSC: 35L65 76L05 35L50 35L67 35L45 35A07 PDFBibTeX XMLCite \textit{G. Métivier}, Trans. Am. Math. Soc. 296, 431--479 (1986; Zbl 0619.35075) Full Text: DOI
Borzymowski, Andrzej A non-linear Goursat problem for a high order polyvibrating equation. (English) Zbl 0608.35010 Proc. R. Soc. Edinb., Sect. A 102, 159-172 (1986). Reviewer: R.Picard MSC: 35G30 35B05 PDFBibTeX XMLCite \textit{A. Borzymowski}, Proc. R. Soc. Edinb., Sect. A, Math. 102, 159--172 (1986; Zbl 0608.35010) Full Text: DOI
Gittel, H.-P. Existenz- und Eindeutigkeitsbeweis zur Lösung des Goursat-Problems für quasilineare hyperbolische Systeme erster Ordnung mittels Differenzenverfahren. (Proof of existence and uniqueness of the solution of the Goursat problem for quasilinear hyperbolic systems of first order by difference methods). (German) Zbl 0601.35068 Z. Anal. Anwend. 5, 193-221 (1986). Reviewer: B.Helffer MSC: 35L60 35A05 35B30 35B45 PDFBibTeX XMLCite \textit{H. P. Gittel}, Z. Anal. Anwend. 5, 193--221 (1986; Zbl 0601.35068) Full Text: DOI
Michalski, Marek W. A nonlinear Goursat problem for a polyvibrating equation of Mangeron. (English) Zbl 0654.35072 Mem. Secț. Științ., Ser. IV 8, No. 1, 97-112 (1985). Reviewer: J.H.Tian MSC: 35L75 35G30 35B05 45K05 PDFBibTeX XMLCite \textit{M. W. Michalski}, Mem. Secț. Științ., Ser. IV 8, No. 1, 97--112 (1985; Zbl 0654.35072)
Ivanov, V. V.; Vuginshtejn, A. Eh. Continual model of growing systems. (English. Russian original) Zbl 0598.45018 Differ. Equations 21, 319-328 (1985); translation from Differ. Uravn. 21, No. 3, 473-484 (1985). Reviewer: D.Mangeron MSC: 45K05 35L75 45L05 92Cxx PDFBibTeX XMLCite \textit{V. V. Ivanov} and \textit{A. Eh. Vuginshtejn}, Differ. Equations 21, 319--328 (1985; Zbl 0598.45018); translation from Differ. Uravn. 21, No. 3, 473--484 (1985)
Grigoliya, M. P. A generalized characteristic problem for hyperbolic systems. (English. Russian original) Zbl 0597.35075 Differ. Equations 21, No. 4, 458-465 (1985); translation from Differ. Uravn. 21, No. 4, 678-686 (1985). Reviewer: A.Tsutsumi MSC: 35L20 35L70 35A07 PDFBibTeX XMLCite \textit{M. P. Grigoliya}, Differ. Equations 21, 458--465 (1985; Zbl 0597.35075); translation from Differ. Uravn. 21, No. 4, 678--686 (1985)
Gittel, H.-P. Über das Goursat-Problem für quasilineare hyperbolische Systeme partieller Differentialgleichungen erster Ordnung mit zwei unabhängigen Variablen. (German) Zbl 0565.35070 Z. Anal. Anwend. 4, 65-83 (1985). Reviewer: W.Watzlawek MSC: 35L60 35A05 35L50 PDFBibTeX XMLCite \textit{H. P. Gittel}, Z. Anal. Anwend. 4, 65--83 (1985; Zbl 0565.35070) Full Text: DOI
Borzymowski, Andrzej Concerning generalized solutions of a nonlinear Goursat problem for a polyvibrating equation of Mangeron. (English) Zbl 0599.45005 Mem. Secț. Științ., Ser. IV 7, No. 1, 35-49 (1984). MSC: 45K05 PDFBibTeX XMLCite \textit{A. Borzymowski}, Mem. Secț. Științ., Ser. IV 7, No. 1, 35--49 (1984; Zbl 0599.45005)
Kovach, Yu. I.; Bojtsun, S. A. Generalized Goursat problem for a nonlinear differential equation. (English) Zbl 0576.35024 Ukr. Math. J. 36, 102-106 (1984). MSC: 35G30 35A05 35A35 PDFBibTeX XMLCite \textit{Yu. I. Kovach} and \textit{S. A. Bojtsun}, Ukr. Math. J. 36, 102--106 (1984; Zbl 0576.35024) Full Text: DOI
Dzhokhadze, O. M. On global solvability of an analog of the Goursat problem for a class of quasi-linear hyperbolic equations. (Russian) Zbl 0572.35069 Tr. Tbilis. Mat. Inst. Razmadze 75, 37-45 (1984). Reviewer: V.Ďurikovič MSC: 35L70 35A05 PDFBibTeX XMLCite \textit{O. M. Dzhokhadze}, Proc. A. Razmadze Math. Inst. 75, 37--45 (1984; Zbl 0572.35069)
Glazatov, S. N. Boundary value problems for a degenerate hyperbolic equation and variational inequalities. (Russian) Zbl 0569.35058 Nestatsionarnye Problemy Mekhaniki Sploshnykh Sred, Din. Sploshnoj Sredy 65, 46-55 (1984). MSC: 35L85 35L20 35A05 35L70 46E35 PDFBibTeX XMLCite \textit{S. N. Glazatov}, Din. Splosh. Sredy 65, 46--55 (1984; Zbl 0569.35058)
Gilbert, R. P.; Jeffrey, A.; Meek, P. An analytical approach to the hot water drive. (English) Zbl 0561.76110 Z. Angew. Math. Mech. 64, 509-515 (1984). MSC: 76T99 76S05 PDFBibTeX XMLCite \textit{R. P. Gilbert} et al., Z. Angew. Math. Mech. 64, 509--515 (1984; Zbl 0561.76110) Full Text: DOI
Thandapani, E. On the stability and boundedness of solutions of hyperbolic differential equations. (English) Zbl 0561.35050 An. Științ. Univ. Al. I. Cuza Iași, N. Ser., Secț. Ia 30, No. 2, 41-46 (1984). Reviewer: V.Ďurikovič MSC: 35L70 35B35 PDFBibTeX XMLCite \textit{E. Thandapani}, An. Științ. Univ. Al. I. Cuza Iași, N. Ser., Secț. Ia 30, No. 2, 41--46 (1984; Zbl 0561.35050)
Tsutsunava, M. T. On some optimal problems for quasi-linear hyperbolic systems with boundary conditions of Goursat type. (Russian. English summary) Zbl 0557.49013 Soobshch. Akad. Nauk Gruz. SSR 115, 33-36 (1984). MSC: 49K20 35L70 93C20 35B37 93C10 PDFBibTeX XMLCite \textit{M. T. Tsutsunava}, Soobshch. Akad. Nauk Gruz. SSR 115, 33--36 (1984; Zbl 0557.49013)
Huťa, Anton jun. Fehlerabschätzungen bei Mehrschrittverfahren für partielle Differentialgleichungen hyperbolischen Typs. (German) Zbl 0546.65063 Wiss. Beitr., Martin-Luther-Univ. Halle Wittenberg 1984/24(M 33), 52-54 (1984). MSC: 65M15 65M12 35L75 PDFBibTeX XML
Kovach, Yu. I.; Bojtsun, S. A. On a generalized Goursat problem for a nonlinear differential equation. (Russian) Zbl 0542.35020 Ukr. Mat. Zh. 36, No. 1, 110-114 (1984). Reviewer: O.Zhantykov MSC: 35G30 35A05 35A35 PDFBibTeX XMLCite \textit{Yu. I. Kovach} and \textit{S. A. Bojtsun}, Ukr. Mat. Zh. 36, No. 1, 110--114 (1984; Zbl 0542.35020) Full Text: DOI
Mikhaĭlov, I. E. Numerical solution of a three-dimensional analogue of the Goursat problem. (English. Russian original) Zbl 0571.65084 U.S.S.R. Comput. Math. Math. Phys. 23, No. 5, 139-141 (1983); translation from Zh. Vychisl. Mat. Mat. Fiz. 23, No. 5, 1238-1240 (1983). MSC: 65M12 35L75 76N15 PDFBibTeX XMLCite \textit{I. E. Mikhaĭlov}, U.S.S.R. Comput. Math. Math. Phys. 23, No. 5, 139--141 (1983; Zbl 0571.65084); translation from Zh. Vychisl. Mat. Mat. Fiz. 23, No. 5, 1238--1240 (1983) Full Text: DOI