Mu, Xinyue; Yang, Jiabao; Yao, Huanmin A binary Caputo-Fabrizio fractional reproducing kernel method for the time-fractional Cattaneo equation. (English) Zbl 1523.35289 J. Appl. Math. Comput. 69, No. 5, 3755-3791 (2023). MSC: 35R11 35K20 34K37 PDFBibTeX XMLCite \textit{X. Mu} et al., J. Appl. Math. Comput. 69, No. 5, 3755--3791 (2023; Zbl 1523.35289) Full Text: DOI
Wang, Dan; Li, Yongxiang; Su, Yi Positive solutions for boundary value problems of a class of second-order differential equation system. (English) Zbl 1519.34024 Open Math. 21, Article ID 20220586, 9 p. (2023). MSC: 34B18 34A34 47H11 PDFBibTeX XMLCite \textit{D. Wang} et al., Open Math. 21, Article ID 20220586, 9 p. (2023; Zbl 1519.34024) Full Text: DOI
Korovina, Maria V.; Matevossian, Hovik A.; Smirnov, Ilya N. Uniform asymptotics of solutions of the wave operator with meromorphic coefficients. (English) Zbl 1512.35080 Appl. Anal. 102, No. 1, 239-252 (2023). MSC: 35B40 34M05 35J05 35L20 PDFBibTeX XMLCite \textit{M. V. Korovina} et al., Appl. Anal. 102, No. 1, 239--252 (2023; Zbl 1512.35080) Full Text: DOI
Liu, Chunguang Precision algorithms in second-order fractional differential equations. (English) Zbl 1514.65098 Appl. Math. Nonlinear Sci. 7, No. 1, 155-164 (2022). MSC: 65L99 34A08 PDFBibTeX XMLCite \textit{C. Liu}, Appl. Math. Nonlinear Sci. 7, No. 1, 155--164 (2022; Zbl 1514.65098) Full Text: DOI
Gorbachev, Vladimir Ivanovich Problems on eigenvalues for ordinary differential equations of the second order with variable coefficients. (Russian. English summary) Zbl 1494.34085 Chebyshevskiĭ Sb. 22, No. 3(79), 353-367 (2021). MSC: 34B09 34A05 34L15 34A25 34A45 PDFBibTeX XMLCite \textit{V. I. Gorbachev}, Chebyshevskiĭ Sb. 22, No. 3(79), 353--367 (2021; Zbl 1494.34085) Full Text: MNR
Liu, Yuji; Yang, Xiaohui Existence and non-existence of positive solutions of four-point BVPs for second order ordinary differential equations on whole line. (English) Zbl 1474.34179 Novi Sad J. Math. 46, No. 1, 79-103 (2016). MSC: 34B18 34B10 34B15 47N20 34B40 PDFBibTeX XMLCite \textit{Y. Liu} and \textit{X. Yang}, Novi Sad J. Math. 46, No. 1, 79--103 (2016; Zbl 1474.34179)
Basu, Sumita A new method of solving linear second-order ordinary differential equation. (English) Zbl 1370.34003 Bull. Calcutta Math. Soc. 108, No. 5, 329-336 (2016). MSC: 34A05 34A30 PDFBibTeX XMLCite \textit{S. Basu}, Bull. Calcutta Math. Soc. 108, No. 5, 329--336 (2016; Zbl 1370.34003)
Caicedo-Ortiz, H. E.; López-Bonilla, J.; Ahsan, Z. Riccati and Schrödinger equations associated to second order linear differential equation. (English) Zbl 1356.34022 Aligarh Bull. Math. 33, No. 1-2, 19-24 (2014). MSC: 34A30 34A05 81Q05 34C20 34A34 PDFBibTeX XMLCite \textit{H. E. Caicedo-Ortiz} et al., Aligarh Bull. Math. 33, No. 1--2, 19--24 (2014; Zbl 1356.34022)
Li, Hao; Pan, Quanxiang On the zeros of second-order linear differential equations and Bergman space \(L^p_a\). (Chinese. English summary) Zbl 1289.34252 J. Henan Norm. Univ., Nat. Sci. 41, No. 2, 13-15 (2013). MSC: 34M10 30H20 34M03 PDFBibTeX XMLCite \textit{H. Li} and \textit{Q. Pan}, J. Henan Norm. Univ., Nat. Sci. 41, No. 2, 13--15 (2013; Zbl 1289.34252)
Artamonov, N. V. Estimate of the decay exponent of an operator semigroup associated with a second-order linear differential equation. (English. Russian original) Zbl 1286.34083 Math. Notes 91, No. 5, 731-734 (2012); translation from Math. Zametki 91, No. 5, 780-783 (2012). MSC: 34G10 47D06 34D05 PDFBibTeX XMLCite \textit{N. V. Artamonov}, Math. Notes 91, No. 5, 731--734 (2012; Zbl 1286.34083); translation from Math. Zametki 91, No. 5, 780--783 (2012) Full Text: DOI
Safonova, T. A. Asymptotic integration of systems of quasidifferential equations of second order. (English. Russian original) Zbl 1232.34079 Math. Notes 89, No. 6, 907-910 (2011); translation from Mat. Zametki 89, No. 6, 951-953 (2011). MSC: 34D05 34L40 PDFBibTeX XMLCite \textit{T. A. Safonova}, Math. Notes 89, No. 6, 907--910 (2011; Zbl 1232.34079); translation from Mat. Zametki 89, No. 6, 951--953 (2011) Full Text: DOI
Tsukamoto, Ichiro Asymptotic behavior of positive solutions of \(x^{\prime\prime}=-t^{\alpha\lambda-2}x^{1+\alpha}\) where \(\alpha >0,\, \lambda=0\) or \(\lambda \leq -1\). (English) Zbl 1219.34073 Far East J. Math. Sci. (FJMS) 51, No. 2, 113-125 (2011). MSC: 34D05 34A12 34A34 PDFBibTeX XMLCite \textit{I. Tsukamoto}, Far East J. Math. Sci. (FJMS) 51, No. 2, 113--125 (2011; Zbl 1219.34073) Full Text: Link
Mirzoev, S. S.; Veliev, S. G. On solutions of one class of second-order operator differential equations in the class of holomorphic vector functions. (Russian, English) Zbl 1224.34190 Ukr. Mat. Zh. 62, No. 6, 801-813 (2010); translation in Ukr. Math. J. 62, No. 6, 928-942 (2010). MSC: 34G10 47E05 34L10 34B15 PDFBibTeX XMLCite \textit{S. S. Mirzoev} and \textit{S. G. Veliev}, Ukr. Mat. Zh. 62, No. 6, 801--813 (2010; Zbl 1224.34190); translation in Ukr. Math. J. 62, No. 6, 928--942 (2010) Full Text: DOI
Sarkar, N. G.; Khan, Safiur Rahaman A second-order differential equation model of population growth. (English) Zbl 1232.34075 J. Nat. Phys. Sci. 22, No. 1-2, 1-8 (2008). MSC: 34C60 92D25 34F05 PDFBibTeX XMLCite \textit{N. G. Sarkar} and \textit{S. R. Khan}, J. Nat. Phys. Sci. 22, No. 1--2, 1--8 (2008; Zbl 1232.34075)
Ji, Xiaolong; Gao, Yuxiao; Liu, Zhuojun The multipliers integrability of second order linear differential equation. (Chinese. English summary) Zbl 1174.34306 Math. Pract. Theory 38, No. 4, 161-166 (2008). MSC: 34A30 PDFBibTeX XMLCite \textit{X. Ji} et al., Math. Pract. Theory 38, No. 4, 161--166 (2008; Zbl 1174.34306)
Shovkoplyas, T. V. A Noether impulse boundary-value problem and conditions for the existence of its solution. (Ukrainian. English summary) Zbl 1164.34373 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 3, 35-39 (2008). MSC: 34B37 PDFBibTeX XMLCite \textit{T. V. Shovkoplyas}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2008, No. 3, 35--39 (2008; Zbl 1164.34373)
Jin, Hua; Cao, Dexin On a periodic boundary value problem for a semilinear second-order differential equation. (Chinese. English summary) Zbl 1174.34336 J. Nanjing Univ., Math. Biq. 24, No. 1, 168-176 (2007). MSC: 34B15 34C25 47N20 PDFBibTeX XMLCite \textit{H. Jin} and \textit{D. Cao}, J. Nanjing Univ., Math. Biq. 24, No. 1, 168--176 (2007; Zbl 1174.34336)
Liu, Yani Positive periodic solutions of nonlinear second-order ordinary differential equations with sign changing coefficients. (Chinese. English summary) Zbl 1164.34406 J. Lanzhou Jiaotong Univ., Nat. Sci. 26, No. 4, 147-150 (2007). MSC: 34C25 47N20 PDFBibTeX XMLCite \textit{Y. Liu}, J. Lanzhou Jiaotong Univ., Nat. Sci. 26, No. 4, 147--150 (2007; Zbl 1164.34406)
Liang, Hongliang; Xu, Huawei The integral condition of a class of second order differential equation with variable coefficient. (Chinese. English summary) Zbl 1164.34302 Math. Pract. Theory 37, No. 23, 157-160 (2007). MSC: 34A05 PDFBibTeX XMLCite \textit{H. Liang} and \textit{H. Xu}, Math. Pract. Theory 37, No. 23, 157--160 (2007; Zbl 1164.34302)
Yang, Dan; Du, Xuetang Oscillation of a class of second-order nonlinear differential equations with impulses. (Chinese. English summary) Zbl 1145.34330 J. Nat. Sci. Hunan Norm. Univ. 30, No. 1, 17-20 (2007). MSC: 34C10 34A37 PDFBibTeX XMLCite \textit{D. Yang} and \textit{X. Du}, J. Nat. Sci. Hunan Norm. Univ. 30, No. 1, 17--20 (2007; Zbl 1145.34330)
Wang, Hong; Lin, Xiaoning The existence and uniqueness for singular Dirichlet boundary value problems. (Chinese. English summary) Zbl 1131.34302 J. Northeast Norm. Univ., Nat. Sci. Ed. 38, No. 2, 1-5 (2006). MSC: 34B16 PDFBibTeX XMLCite \textit{H. Wang} and \textit{X. Lin}, J. Northeast Norm. Univ., Nat. Sci. Ed. 38, No. 2, 1--5 (2006; Zbl 1131.34302)
Bukzhalev, E. E. Contrast step-like structures with stretched variables depending on various power of the perturbation parameter. (Russian, English) Zbl 1084.34533 Zh. Vychisl. Mat. Mat. Fiz. 44, No. 4, 662-675 (2004); translation in Comput. Math. Math. Phys. 44, No. 4, 626-639 (2004). MSC: 34E05 34E20 34B15 PDFBibTeX XMLCite \textit{E. E. Bukzhalev}, Zh. Vychisl. Mat. Mat. Fiz. 44, No. 4, 662--675 (2004; Zbl 1084.34533); translation in Comput. Math. Math. Phys. 44, No. 4, 626--639 (2004)
Mikhajlov, N. Yu; Tolmachev, G. N. Mathematical model of the pulse-wave. (Russian) Zbl 1052.34505 Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki 2003, No. 6, Suppl., 3-9 (2003). MSC: 34C60 92C50 PDFBibTeX XMLCite \textit{N. Y. Mikhajlov} and \textit{G. N. Tolmachev}, Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Estestv. Nauki 2003, No. 6, 3--9 (2003; Zbl 1052.34505)
Fomin, V. I. On the solution of the Cauchy problem for a second-order linear differential equation in a Banach space. (English. Russian original) Zbl 1033.34061 Differ. Equ. 38, No. 8, 1219-1221 (2002); translation from Differ. Uravn. 38, No. 8, 1140-1141 (2002). MSC: 34G10 PDFBibTeX XMLCite \textit{V. I. Fomin}, Differ. Equ. 38, No. 8, 1219--1221 (2002; Zbl 1033.34061); translation from Differ. Uravn. 38, No. 8, 1140--1141 (2002) Full Text: DOI
Vasil’eva, A. B.; Bukzhalev, E. E. A singularly perturbed boundary value problem for a second-order differential equation whose right-hand side is a quadratic function of the derivative of the unknown function. (English. Russian original) Zbl 1033.34026 Differ. Equ. 38, No. 6, 760-771 (2002); translation from Differ. Uravn. 38, No. 6, 724-734 (2002). MSC: 34B15 34E05 PDFBibTeX XMLCite \textit{A. B. Vasil'eva} and \textit{E. E. Bukzhalev}, Differ. Equ. 38, No. 6, 760--771 (2002; Zbl 1033.34026); translation from Differ. Uravn. 38, No. 6, 724--734 (2002) Full Text: DOI
Nayak, P. C. Stability behaviour of the solutions of second order fuzzy differential equation \((\overline r(t)\overline y'(t))'-\overline q(t)(\overline y^{\prime\gamma}(t))-\overline p(t)\overline y^\beta(t)=\overline\varphi\). (English) Zbl 1006.34042 J. Fuzzy Math. 9, No. 3, 555-560 (2001). MSC: 34D30 34G20 34A60 PDFBibTeX XMLCite \textit{P. C. Nayak}, J. Fuzzy Math. 9, No. 3, 555--560 (2001; Zbl 1006.34042)
Fomin, V. I. Small stabilizing perturbations of a vector second-order Euler equation with bounded operator coefficients. (English. Russian original) Zbl 0995.34049 Differ. Equ. 36, No. 11, 1722-1723 (2000); translation from Differ. Uravn. 36, No. 11, 1568-1569 (2000). MSC: 34G10 34E10 34C11 PDFBibTeX XMLCite \textit{V. I. Fomin}, Differ. Equ. 36, No. 11, 1722--1723 (2000; Zbl 0995.34049); translation from Differ. Uravn. 36, No. 11, 1568--1569 (2000) Full Text: DOI
Feng, Luxiang; Hou, Xinhua General solution to a second-order linear differential equation. (Chinese. English summary) Zbl 0978.34002 J. Huaihua Teach. Coll. 19, No. 5, 19-20 (2000). MSC: 34A05 34A30 PDFBibTeX XMLCite \textit{L. Feng} and \textit{X. Hou}, J. Huaihua Teach. Coll. 19, No. 5, 19--20 (2000; Zbl 0978.34002)
Starc, F. Zdravko Finding the boundary curves of the second order linear ordinary differential equation. (English) Zbl 0945.34501 Zb. Rad., Prir.-Mat. Fak., Univ. Kragujevcu 21, 87-92 (1999). MSC: 34A30 PDFBibTeX XMLCite \textit{F. Z. Starc}, Zb. Rad., Prir.-Mat. Fak., Univ. Kragujevcu 21, 87--92 (1999; Zbl 0945.34501)
Uzelac, Zor.; Adžić, Nev. The approximate solution for problems with nonlocal boundary conditions. (English) Zbl 0944.65519 ZAMM, Z. Angew. Math. Mech. 79, Suppl. 3, S881-S882 (1999). MSC: 65L10 65L60 34B05 34E15 PDFBibTeX XMLCite \textit{Zor. Uzelac} and \textit{Nev. Adžić}, ZAMM, Z. Angew. Math. Mech. 79, S881--S882 (1999; Zbl 0944.65519)
Shcheglov, V. A. Stability of solutions to a certain second-order delay equation. (English. Russian original) Zbl 0953.34063 Differ. Equations 34, No. 12, 1721-1723 (1998); translation from Differ. Uravn. 34, No. 12, 1711-1713 (1998). MSC: 34K20 PDFBibTeX XMLCite \textit{V. A. Shcheglov}, Differ. Equations 34, No. 12, 1721--1723 (1998; Zbl 0953.34063); translation from Differ. Uravn. 34, No. 12, 1711--1713 (1998)
Adžić, Nev.; Uzelac, Zor. A combination of spline and spectral approximation for a class of singularly perturbed problems. (English) Zbl 0925.34019 ZAMM, Z. Angew. Math. Mech. 78, Suppl. 3, S853-S854 (1998). MSC: 34B05 34E15 65J99 PDFBibTeX XMLCite \textit{Nev. Adžić} and \textit{Zor. Uzelac}, ZAMM, Z. Angew. Math. Mech. 78, S853--S854 (1998; Zbl 0925.34019) Full Text: DOI
Qin, Xuelin; Zhu, Lili; Jiang, Jifa Application of the condition that the convergence of a generalized integral makes the integrand tend to zero. (Chinese. English summary) Zbl 0957.34501 J. Anhui Norm. Univ., Nat. Sci. 18, No. 2, 4-9 (1995). MSC: 34E05 PDFBibTeX XMLCite \textit{X. Qin} et al., J. Anhui Norm. Univ., Nat. Sci. 18, No. 2, 4--9 (1995; Zbl 0957.34501)
Lomtatidze, A.; Mukhigulashvili, S. On periodic solutions of second order functional differential equations. (English) Zbl 0866.34054 Mem. Differ. Equ. Math. Phys. 5, 125-126 (1995). MSC: 34K10 PDFBibTeX XMLCite \textit{A. Lomtatidze} and \textit{S. Mukhigulashvili}, Mem. Differ. Equ. Math. Phys. 5, 125--126 (1995; Zbl 0866.34054) Full Text: EuDML EMIS
Došlá, Zuzana; Kiguradze, I. On asymptotic behavior of solutions of second order linear differential equations. (English) Zbl 0866.34042 Mem. Differ. Equ. Math. Phys. 6, 130-133 (1995). MSC: 34D05 34A30 PDFBibTeX XMLCite \textit{Z. Došlá} and \textit{I. Kiguradze}, Mem. Differ. Equ. Math. Phys. 6, 130--133 (1995; Zbl 0866.34042) Full Text: EuDML EMIS
Mukhigulashvili, S. On a two-point boundary value problem for second order functional differential equations. (English) Zbl 0866.34055 Mem. Differ. Equ. Math. Phys. 6, 124-126 (1995). MSC: 34K10 PDFBibTeX XMLCite \textit{S. Mukhigulashvili}, Mem. Differ. Equ. Math. Phys. 6, 124--126 (1995; Zbl 0866.34055) Full Text: EuDML EMIS
Ibragimov, N. Kh. The experience of group analysis of ordinary differential equations. (Opyt gruppovogo analiza obyknovennykh differentsial’nykh uravnenij.) (Russian) Zbl 0791.34001 Novoe v Zhizni, Nauke, Tekhnike. Seriya Matematika, Kibernetika. 91-7. Moskva: Znanie. 48 p. (1991). MSC: 34-01 34A26 37C80 PDFBibTeX XMLCite \textit{N. Kh. Ibragimov}, Opyt gruppovogo analiza obyknovennykh differentsial'nykh uravnenij (Russian). Moskva: Znanie (1991; Zbl 0791.34001)
Koltyzhenkov, V. M. Irregular second-order differential equations with almost-periodic coefficients. (English. Russian original) Zbl 0622.34038 Math. Notes 41, 116-118 (1987); translation from Mat. Zametki 41, No. 2, 202-206 (1987). MSC: 34C20 PDFBibTeX XMLCite \textit{V. M. Koltyzhenkov}, Math. Notes 41, 116--118 (1987; Zbl 0622.34038); translation from Mat. Zametki 41, No. 2, 202--206 (1987) Full Text: DOI
Mostaghel, N. A response bound for hysteretic second order systems. (English) Zbl 0563.34005 Q. Appl. Math. 43, 199-200 (1985). MSC: 34A34 34C15 PDFBibTeX XMLCite \textit{N. Mostaghel}, Q. Appl. Math. 43, 199--200 (1985; Zbl 0563.34005) Full Text: DOI
Al’-Khajder, Kasim Mukhamed On isochronism of second order Hamiltonian differential systems with polynomials of third degree. (Russian) Zbl 0601.34010 Vestn. Beloruss. Gos. Univ. Im. V. I. Lenina, Ser. I 1983, No. 2, 63-65 (1983). MSC: 34A99 70H05 PDFBibTeX XMLCite \textit{K. M. Al'-Khajder}, Vestn. Beloruss. Gos. Univ. Im. V. I. Lenina, Ser. I 1983, No. 2, 63--65 (1983; Zbl 0601.34010)
Asadullin, N. M. Analogs of regularized traces for second-order differential operators with a ”floating” singularity in the coefficients. (English. Russian original) Zbl 0599.34022 Mosc. Univ. Math. Bull. 34, No. 4, 22-26 (1979); translation from Vestn. Mosk. Univ., Ser. I 1979, No. 4, 24-28 (1979). MSC: 34B10 47E05 PDFBibTeX XMLCite \textit{N. M. Asadullin}, Mosc. Univ. Math. Bull. 34, No. 4, 22--26 (1979; Zbl 0599.34022); translation from Vestn. Mosk. Univ., Ser. I 1979, No. 4, 24--28 (1979)
Cockle, J. Supplementary paper on primary forms. (English) JFM 12.0271.02 Phil. Mag. (5) IX, 348-351 (1880). MSC: 34A30 PDFBibTeX XMLCite \textit{J. Cockle}, Phil. Mag. (5) 9, 348--351 (1880; JFM 12.0271.02)
Helmling, P. On the integration of the equation \(X_0 \cdot \frac{d^2 y}{dx^2} + X_1 \frac{dy}{dx} + X_2 y = 0\) integranda. (De aequatione \(X_0 \cdot \frac{d^2 y}{dx^2} + X_1 \frac{dy}{dx} + X_2 y = 0\) integranda.) JFM 02.0172.01 Dorpat 1860 (1869). MSC: 34A05 PDFBibTeX XML