Korzyuk, V. I.; Rudzko, J. V. Classical solution of the second mixed problem for the telegraph equation with a nonlinear potential. (English. Russian original) Zbl 07786617 Differ. Equ. 59, No. 9, 1216-1234 (2023); translation from Differ. Uravn. 59, No. 9, 1222-1239 (2023). MSC: 35L20 35L71 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{J. V. Rudzko}, Differ. Equ. 59, No. 9, 1216--1234 (2023; Zbl 07786617); translation from Differ. Uravn. 59, No. 9, 1222--1239 (2023) Full Text: DOI
Korzyuk, V. I.; Rudzko, J. V. Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential in a curvilinear quadrant. (English. Russian original) Zbl 1525.35174 Differ. Equ. 59, No. 8, 1075-1089 (2023); translation from Differ. Uravn. 59, No. 8, 1070-1083 (2023). MSC: 35L71 35L20 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{J. V. Rudzko}, Differ. Equ. 59, No. 8, 1075--1089 (2023; Zbl 1525.35174); translation from Differ. Uravn. 59, No. 8, 1070--1083 (2023) Full Text: DOI
Korzyuk, V. I.; Stolyarchuk, I. I. Classical solution of the first mixed problem for the wave equation in a cylindrical domain. (English. Russian original) Zbl 1505.35087 Differ. Equ. 58, No. 10, 1348-1354 (2022); translation from Differ. Uravn. 58, No. 10, 1353-1359 (2022). MSC: 35C15 35L20 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{I. I. Stolyarchuk}, Differ. Equ. 58, No. 10, 1348--1354 (2022; Zbl 1505.35087); translation from Differ. Uravn. 58, No. 10, 1353--1359 (2022) Full Text: DOI
Korzyuk, V. I.; Rudzko, J. V. Classical solution of the first mixed problem for the telegraph equation with a nonlinear potential. (English. Russian original) Zbl 1487.35243 Differ. Equ. 58, No. 2, 175-186 (2022); translation from Differ. Uravn. 58, No. 2, 174-184 (2022). MSC: 35L20 35L71 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{J. V. Rudzko}, Differ. Equ. 58, No. 2, 175--186 (2022; Zbl 1487.35243); translation from Differ. Uravn. 58, No. 2, 174--184 (2022) Full Text: DOI
Korzyuk, V. I.; Kozlovskaya, I. S.; Naumavets, S. N. Classical solution of the first mixed problem for the wave equation in a curvilinear half-strip. (English. Russian original) Zbl 1440.35204 Differ. Equ. 56, No. 1, 98-108 (2020); translation from Differ. Uravn. 56, No. 1, 99-109 (2020). MSC: 35L20 35C15 PDFBibTeX XMLCite \textit{V. I. Korzyuk} et al., Differ. Equ. 56, No. 1, 98--108 (2020; Zbl 1440.35204); translation from Differ. Uravn. 56, No. 1, 99--109 (2020) Full Text: DOI
Korzyuk, V. I.; Kozlovskaya, I. S.; Naumavets, S. N. Classical solution of a problem with integral conditions of the second kind for the one-dimensional wave equation. (English. Russian original) Zbl 1416.35154 Differ. Equ. 55, No. 3, 353-362 (2019); translation from Differ. Uravn. 55, No. 3, 361-369 (2019). MSC: 35L20 35A09 35A01 35A02 PDFBibTeX XMLCite \textit{V. I. Korzyuk} et al., Differ. Equ. 55, No. 3, 353--362 (2019; Zbl 1416.35154); translation from Differ. Uravn. 55, No. 3, 361--369 (2019) Full Text: DOI
Korzyuk, V. I.; Vinh, N. V. Mixed problem with an integral condition for the one-dimensional biwave equation. (English. Russian original) Zbl 1397.35146 Differ. Equ. 54, No. 6, 799-810 (2018); translation from Differ. Uravn. 54, No. 6, 803-814 (2018). MSC: 35L35 35A09 35A01 35A02 35C05 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{N. V. Vinh}, Differ. Equ. 54, No. 6, 799--810 (2018; Zbl 1397.35146); translation from Differ. Uravn. 54, No. 6, 803--814 (2018) Full Text: DOI
Korzyuk, V. I.; Mandrik, A. A. Conditions for the hyperbolicity of a linear third-order differential equation in a one-dimensional space. (English. Russian original) Zbl 1397.35145 Differ. Equ. 53, No. 12, 1667-1670 (2017); translation from Differ. Uravn. 53, No. 12, 1715-1718 (2017). MSC: 35L30 35A09 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{A. A. Mandrik}, Differ. Equ. 53, No. 12, 1667--1670 (2017; Zbl 1397.35145); translation from Differ. Uravn. 53, No. 12, 1715--1718 (2017) Full Text: DOI
Korzyuk, V. I.; Stolyarchuk, I. I. Classical solution of the first mixed problem for second-order hyperbolic equation in curvilinear half-strip with variable coefficients. (English. Russian original) Zbl 1368.35165 Differ. Equ. 53, No. 1, 74-85 (2017); translation from Differ. Uravn. 53, No. 1, 77-88 (2017). MSC: 35L20 35A09 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{I. I. Stolyarchuk}, Differ. Equ. 53, No. 1, 74--85 (2017; Zbl 1368.35165); translation from Differ. Uravn. 53, No. 1, 77--88 (2017) Full Text: DOI
Korzyuk, V. I.; Mandrik, A. A. First mixed problem for a nonstrictly hyperbolic equation of the third order in a bounded domain. (English. Russian original) Zbl 1348.35133 Differ. Equ. 52, No. 6, 767-780 (2016); translation from Differ. Uravn. 52, No. 6, 788-802 (2016). MSC: 35L35 35A09 35C05 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{A. A. Mandrik}, Differ. Equ. 52, No. 6, 767--780 (2016; Zbl 1348.35133); translation from Differ. Uravn. 52, No. 6, 788--802 (2016) Full Text: DOI
Korzyuk, V. I.; Mandrik, A. A. Boundary value problems for a nonstrictly hyperbolic equation of the third order. (English. Russian original) Zbl 1342.35166 Differ. Equ. 52, No. 2, 210-219 (2016); translation from Differ. Uravn. 52, No. 2, 209-219 (2016). MSC: 35L35 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{A. A. Mandrik}, Differ. Equ. 52, No. 2, 210--219 (2016; Zbl 1342.35166); translation from Differ. Uravn. 52, No. 2, 209--219 (2016) Full Text: DOI
Korzyuk, V. I.; Dzhenaliev, M. T.; Kozlovskaya, I. S. Boundary value problems for a weakly loaded operator of a second-order hyperbolic equation in a cylindrical domain. (English. Russian original) Zbl 1338.35281 Differ. Equ. 51, No. 12, 1595-1606 (2015); translation from Differ. Uravn. 51, No. 12, 1618-1628 (2015). MSC: 35L20 PDFBibTeX XMLCite \textit{V. I. Korzyuk} et al., Differ. Equ. 51, No. 12, 1595--1606 (2015; Zbl 1338.35281); translation from Differ. Uravn. 51, No. 12, 1618--1628 (2015) Full Text: DOI
Korzyuk, V. I.; Kozlovskaya, I. S.; Kozlov, A. I. Cauchy problem for a nonstrictly hyperbolic equation on a half-plane with constant coefficients. (English. Russian original) Zbl 1327.35235 Differ. Equ. 51, No. 6, 726-737 (2015); translation from Differ. Uravn. 51, No. 6, 714-725 (2015). MSC: 35L30 PDFBibTeX XMLCite \textit{V. I. Korzyuk} et al., Differ. Equ. 51, No. 6, 726--737 (2015; Zbl 1327.35235); translation from Differ. Uravn. 51, No. 6, 714--725 (2015) Full Text: DOI
Moiseev, E. I.; Korzyuk, V. I.; Kozlovskaya, I. S. Classical solution of a problem with an integral condition for the one-dimensional wave equation. (English. Russian original) Zbl 1310.35152 Differ. Equ. 50, No. 10, 1364-1377 (2014); translation from Differ. Uravn. 50, No. 10, 1373-1385 (2014). MSC: 35L20 35L05 35C05 35A09 PDFBibTeX XMLCite \textit{E. I. Moiseev} et al., Differ. Equ. 50, No. 10, 1364--1377 (2014; Zbl 1310.35152); translation from Differ. Uravn. 50, No. 10, 1373--1385 (2014) Full Text: DOI
Korzyuk, V. I.; Stolyarchuk, I. I. Classical solution of the first mixed problem for the Klein-Gordon-Fock equation in a half-strip. (English. Russian original) Zbl 1304.35398 Differ. Equ. 50, No. 8, 1098-1111 (2014); translation from Differ. Uravn. 50, No. 8, 1105-1117 (2014). MSC: 35L20 35A09 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{I. I. Stolyarchuk}, Differ. Equ. 50, No. 8, 1098--1111 (2014; Zbl 1304.35398); translation from Differ. Uravn. 50, No. 8, 1105--1117 (2014) Full Text: DOI
Korzyuk, V. I.; Mandrik, A. A. Classical solution of the first mixed problem for a third-order hyperbolic equation with the wave operator. (English. Russian original) Zbl 1297.35128 Differ. Equ. 50, No. 4, 489-501 (2014); translation from Differ. Uravn. 50, No. 4, 492-504 (2014). MSC: 35L35 35A09 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{A. A. Mandrik}, Differ. Equ. 50, No. 4, 489--501 (2014; Zbl 1297.35128); translation from Differ. Uravn. 50, No. 4, 492--504 (2014) Full Text: DOI
Korzyuk, V. I.; Kozlovskaya, I. S. Solution of the Cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables. (English. Russian original) Zbl 1257.35118 Differ. Equ. 48, No. 5, 707-716 (2012); translation from Differ. Uravn. 48, No. 5, 700-709 (2012). MSC: 35L30 35C05 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{I. S. Kozlovskaya}, Differ. Equ. 48, No. 5, 707--716 (2012; Zbl 1257.35118); translation from Differ. Uravn. 48, No. 5, 700--709 (2012) Full Text: DOI
Korzyuk, V. I.; Konopel’ko, O. A. Strong solution of boundary value problems in cylindrical domains for a fourth-order equation of composite type. (English. Russian original) Zbl 1206.35014 Differ. Equ. 46, No. 5, 690-701 (2010); translation from Differ. Uravn. 46, No. 5, 687-697 (2010). MSC: 35A25 35M99 35A01 35A02 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{O. A. Konopel'ko}, Differ. Equ. 46, No. 5, 690--701 (2010; Zbl 1206.35014); translation from Differ. Uravn. 46, No. 5, 687--697 (2010) Full Text: DOI
Korzyuk, V. I.; Cheb, E. S. Goursat problem for a fourth-order equation with the biwave operator. (English. Russian original) Zbl 1180.35333 Differ. Equ. 45, No. 10, 1467-1472 (2009); translation from Differ. Uravn. 45, No. 10, 1435-1440 (2009). MSC: 35L35 35D35 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{E. S. Cheb}, Differ. Equ. 45, No. 10, 1467--1472 (2009; Zbl 1180.35333); translation from Differ. Uravn. 45, No. 10, 1435--1440 (2009) Full Text: DOI
Korzyuk, V. I.; Cheb, E. S. The Cauchy problem for a fourth-order equation with the biwave operator. (English. Russian original) Zbl 1141.35425 Differ. Equ. 43, No. 5, 688-695 (2007); translation from Differ. Uravn. 43, No. 5, 669-676 (2007). MSC: 35M20 35L35 PDFBibTeX XMLCite \textit{V. I. Korzyuk} and \textit{E. S. Cheb}, Differ. Equ. 43, No. 5, 688--695 (2007; Zbl 1141.35425); translation from Differ. Uravn. 43, No. 5, 669--676 (2007) Full Text: DOI
Arutyunov, A. V.; Emel’yanov, S. V.; Izobov, N. A.; Il’in, V. A.; Korovin, S. K.; Korzyuk, V. I.; Samoilenko, A. M.; Borukhov, V. T.; Kostyukova, O. I.; Shemyakina, T. K.; Yurchuk, N. I. Ivan Vasil’evich Gaishun (a tribute in honor of his sixtieth birthday). (English. Russian original) Zbl 1133.01307 Differ. Equ. 42, No. 10, 1365-1373 (2006); translation from Differ. Uravn. 42, No. 10, 1299-1306 (2006). MSC: 01A70 PDFBibTeX XMLCite \textit{A. V. Arutyunov} et al., Differ. Equ. 42, No. 10, 1365--1373 (2006; Zbl 1133.01307); translation from Differ. Uravn. 42, No. 10, 1299--1306 (2006) Full Text: DOI
Korzyuk, V. I. A boundary value problem for a hyperbolic equation with a third-order wave operator. (English. Russian original) Zbl 1163.35431 Differ. Equ. 40, No. 2, 218-226 (2004); translation from Differ. Uravn. 40, No. 2, 208-215 (2004). MSC: 35L35 35A05 PDFBibTeX XMLCite \textit{V. I. Korzyuk}, Differ. Equ. 40, No. 2, 218--226 (2004; Zbl 1163.35431); translation from Differ. Uravn. 40, No. 2, 208--215 (2004) Full Text: DOI