Liu, Zhongli; Tian, Hongjiong; You, Xiong Adiabatic Filon-type methods for highly oscillatory second-order ordinary differential equations. (English) Zbl 1372.65208 J. Comput. Appl. Math. 320, 1-14 (2017). MSC: 65L05 34A34 34C10 PDFBibTeX XMLCite \textit{Z. Liu} et al., J. Comput. Appl. Math. 320, 1--14 (2017; Zbl 1372.65208) Full Text: DOI
Agarwal, Ravi P.; Özbekler, Abdullah Lyapunov type inequalities for mixed nonlinear Riemann-Liouville fractional differential equations with a forcing term. (English) Zbl 1357.34009 J. Comput. Appl. Math. 314, 69-78 (2017). Reviewer: Yousef Gholami (Tabriz) MSC: 34A08 34B15 PDFBibTeX XMLCite \textit{R. P. Agarwal} and \textit{A. Özbekler}, J. Comput. Appl. Math. 314, 69--78 (2017; Zbl 1357.34009) Full Text: DOI
Wang, Bin; Wu, Xinyuan; Meng, Fanwei Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations. (English) Zbl 1353.65074 J. Comput. Appl. Math. 313, 185-201 (2017). MSC: 65L05 65L60 34A34 34C10 65L20 PDFBibTeX XMLCite \textit{B. Wang} et al., J. Comput. Appl. Math. 313, 185--201 (2017; Zbl 1353.65074) Full Text: DOI arXiv
Bunder, J. E.; Roberts, A. J. Numerical integration of ordinary differential equations with rapidly oscillatory factors. (English) Zbl 1309.65078 J. Comput. Appl. Math. 282, 54-70 (2015). MSC: 65L05 34A34 34C10 PDFBibTeX XMLCite \textit{J. E. Bunder} and \textit{A. J. Roberts}, J. Comput. Appl. Math. 282, 54--70 (2015; Zbl 1309.65078) Full Text: DOI arXiv
Vigo-Aguiar, Jesús; Ramos, Higinio On the choice of the frequency in trigonometrically-fitted methods for periodic problems. (English) Zbl 1302.65161 J. Comput. Appl. Math. 277, 94-105 (2015). MSC: 65L05 34A34 34C10 34C25 PDFBibTeX XMLCite \textit{J. Vigo-Aguiar} and \textit{H. Ramos}, J. Comput. Appl. Math. 277, 94--105 (2015; Zbl 1302.65161) Full Text: DOI
Wang, Yuanfeng; Xu, Zhiting Asymptotic properties of solutions of certain third-order dynamic equations. (English) Zbl 1239.34112 J. Comput. Appl. Math. 236, No. 9, 2354-2366 (2012). MSC: 34N05 34C10 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Z. Xu}, J. Comput. Appl. Math. 236, No. 9, 2354--2366 (2012; Zbl 1239.34112) Full Text: DOI
D’Ambrosio, R.; Esposito, E.; Paternoster, B. Exponentially fitted two-step hybrid methods for \(y^{\prime\prime} = f(x,y)\). (English) Zbl 1220.65088 J. Comput. Appl. Math. 235, No. 16, 4888-4897 (2011). MSC: 65L05 34A34 34C10 34C25 65L06 PDFBibTeX XMLCite \textit{R. D'Ambrosio} et al., J. Comput. Appl. Math. 235, No. 16, 4888--4897 (2011; Zbl 1220.65088) Full Text: DOI
Jordaan, Kerstin; Tookos, Ferenc Convexity of the zeros of some orthogonal polynomials and related functions. (English) Zbl 1184.33005 J. Comput. Appl. Math. 233, No. 3, 762-767 (2009). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 34C10 PDFBibTeX XMLCite \textit{K. Jordaan} and \textit{F. Tookos}, J. Comput. Appl. Math. 233, No. 3, 762--767 (2009; Zbl 1184.33005) Full Text: DOI arXiv
Erbe, Lynn; Baoguo, Jia; Peterson, Allan Nonoscillation for second order sublinear dynamic equations on time scales. (English) Zbl 1187.34128 J. Comput. Appl. Math. 232, No. 2, 594-599 (2009). Reviewer: Kazuya Tohge (Kanazawa) MSC: 34N05 34C10 PDFBibTeX XMLCite \textit{L. Erbe} et al., J. Comput. Appl. Math. 232, No. 2, 594--599 (2009; Zbl 1187.34128) Full Text: DOI
Liu, Haidong; Meng, Fanwei Oscillation criteria for second order linear matrix differential systems with damping. (English) Zbl 1175.34039 J. Comput. Appl. Math. 229, No. 1, 222-229 (2009). Reviewer: Zhaowen Zheng (Qufu) MSC: 34C10 34A30 PDFBibTeX XMLCite \textit{H. Liu} and \textit{F. Meng}, J. Comput. Appl. Math. 229, No. 1, 222--229 (2009; Zbl 1175.34039) Full Text: DOI
Xu, Youjun; Xu, Zhiting Oscillation criteria for two-dimensional dynamic systems on time scales. (English) Zbl 1161.39012 J. Comput. Appl. Math. 225, No. 1, 9-19 (2009). Reviewer: Hussain A. El-Saify (Beni Suef) MSC: 39A21 39A10 34C10 34N05 39A12 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{Z. Xu}, J. Comput. Appl. Math. 225, No. 1, 9--19 (2009; Zbl 1161.39012) Full Text: DOI
Huang, Yan; Meng, Fanwei Oscillation criteria for forced second-order nonlinear differential equations with damping. (English) Zbl 1167.34325 J. Comput. Appl. Math. 224, No. 1, 339-345 (2009). Reviewer: Hong Zhang (Umeå) MSC: 34C10 PDFBibTeX XMLCite \textit{Y. Huang} and \textit{F. Meng}, J. Comput. Appl. Math. 224, No. 1, 339--345 (2009; Zbl 1167.34325) Full Text: DOI
Xu, Zhiting Oscillation and nonoscillation of second order differential equations with delay depending on the unknown function. (English) Zbl 1145.34357 J. Comput. Appl. Math. 214, No. 2, 371-380 (2008). MSC: 34K11 34C10 PDFBibTeX XMLCite \textit{Z. Xu}, J. Comput. Appl. Math. 214, No. 2, 371--380 (2008; Zbl 1145.34357) Full Text: DOI
Wang, Qi-Ru Interval criteria for oscillation of second-order nonlinear differential equations. (English) Zbl 1142.34331 J. Comput. Appl. Math. 205, No. 1, 231-238 (2007). Reviewer: Aleksandr Lomtatidze (Brno) MSC: 34C10 PDFBibTeX XMLCite \textit{Q.-R. Wang}, J. Comput. Appl. Math. 205, No. 1, 231--238 (2007; Zbl 1142.34331) Full Text: DOI
Li, Qiaoluan; Liang, Haiyan; Zhang, Zhenguo; Yu, Yuanhong Oscillation of second order self-conjugate differential equation with impulses. (English) Zbl 1108.34026 J. Comput. Appl. Math. 197, No. 1, 78-88 (2006). Reviewer: Jozef Dzurina (Kosice) MSC: 34C10 34A37 PDFBibTeX XMLCite \textit{Q. Li} et al., J. Comput. Appl. Math. 197, No. 1, 78--88 (2006; Zbl 1108.34026) Full Text: DOI
Binding, P. A.; Volkmer, H. Interlacing and oscillation for Sturm-Liouville problems with separated and coupled boundary conditions. (English) Zbl 1103.34013 J. Comput. Appl. Math. 194, No. 1, 75-93 (2006). Reviewer: Mihai Pascu (Bucureşti) MSC: 34B24 34C10 34L20 34L15 PDFBibTeX XMLCite \textit{P. A. Binding} and \textit{H. Volkmer}, J. Comput. Appl. Math. 194, No. 1, 75--93 (2006; Zbl 1103.34013) Full Text: DOI
Degani, Ilan; Schiff, Jeremy RCMS: Right correction Magnus series approach for oscillatory ODEs. (English) Zbl 1093.65071 J. Comput. Appl. Math. 193, No. 2, 413-436 (2006). MSC: 65L05 34A34 65L50 34C10 PDFBibTeX XMLCite \textit{I. Degani} and \textit{J. Schiff}, J. Comput. Appl. Math. 193, No. 2, 413--436 (2006; Zbl 1093.65071) Full Text: DOI
Saker, S. H. Oscillation criteria of second-order half-linear dynamic equations on time scales. (English) Zbl 1082.34032 J. Comput. Appl. Math. 177, No. 2, 375-387 (2005). Reviewer: Luis Sanchez (Lisboa) MSC: 34C10 39A12 PDFBibTeX XMLCite \textit{S. H. Saker}, J. Comput. Appl. Math. 177, No. 2, 375--387 (2005; Zbl 1082.34032) Full Text: DOI
Franco, J. M. Stability of explicit ARKN methods for perturbed oscillators. (English) Zbl 1065.65101 J. Comput. Appl. Math. 173, No. 2, 389-396 (2005). MSC: 65L20 65L06 65L05 34C10 34A34 PDFBibTeX XMLCite \textit{J. M. Franco}, J. Comput. Appl. Math. 173, No. 2, 389--396 (2005; Zbl 1065.65101) Full Text: DOI
Binding, P.; Langer, H.; Möller, M. Oscillation results for Sturm–Liouville problems with an indefinite weight function. (English) Zbl 1078.34011 J. Comput. Appl. Math. 171, No. 1-2, 93-101 (2004). Reviewer: Rostyslav Hryniv (Lviv) MSC: 34B24 34B09 34C10 47B50 34L15 34L20 PDFBibTeX XMLCite \textit{P. Binding} et al., J. Comput. Appl. Math. 171, No. 1--2, 93--101 (2004; Zbl 1078.34011) Full Text: DOI
Al-Refai, Mohammed Existence, uniqueness and bounds for a problem in combustion theory. (English) Zbl 1042.80005 J. Comput. Appl. Math. 167, No. 2, 255-269 (2004). MSC: 80A25 35J25 34C10 PDFBibTeX XMLCite \textit{M. Al-Refai}, J. Comput. Appl. Math. 167, No. 2, 255--269 (2004; Zbl 1042.80005) Full Text: DOI
Wong, Patricia J. Y. Abel-Gontscharoff interpolation: Continuous, discrete and time scale. (English) Zbl 1046.41003 J. Comput. Appl. Math. 164-165, 763-782 (2004). Reviewer: Radu Miculescu (Bucureşti) MSC: 41A05 65D05 PDFBibTeX XMLCite \textit{P. J. Y. Wong}, J. Comput. Appl. Math. 164--165, 763--782 (2004; Zbl 1046.41003) Full Text: DOI
He, Zhimin; Ge, Weigao Oscillations of second-order nonlinear impulsive ordinary differential equations. (English) Zbl 1042.34063 J. Comput. Appl. Math. 158, No. 2, 397-406 (2003). Reviewer: Robert Mařík (Brno) MSC: 34C10 34A37 PDFBibTeX XMLCite \textit{Z. He} and \textit{W. Ge}, J. Comput. Appl. Math. 158, No. 2, 397--406 (2003; Zbl 1042.34063) Full Text: DOI
Segura, Javier On the zeros and turning points of special functions. (English) Zbl 1116.33300 J. Comput. Appl. Math. 153, No. 1-2, 433-440 (2003). MSC: 33C10 33C99 34C10 65H05 PDFBibTeX XMLCite \textit{J. Segura}, J. Comput. Appl. Math. 153, No. 1--2, 433--440 (2003; Zbl 1116.33300) Full Text: DOI
Tsitouras, Ch.; Simos, T. E. Optimized Runge-Kutta pairs for problems with oscillating solutions. (English) Zbl 1013.65073 J. Comput. Appl. Math. 147, No. 2, 397-409 (2002). MSC: 65L06 65L05 34A34 65L50 34C10 34C25 PDFBibTeX XMLCite \textit{Ch. Tsitouras} and \textit{T. E. Simos}, J. Comput. Appl. Math. 147, No. 2, 397--409 (2002; Zbl 1013.65073) Full Text: DOI
Martínez-Finkelshtein, A.; Martínez-González, P.; Zarzo, A. WKB approach to zero distribution of solutions of linear second order differential equations. (English) Zbl 1008.34048 J. Comput. Appl. Math. 145, No. 1, 167-182 (2002). MSC: 34E20 34C10 PDFBibTeX XMLCite \textit{A. Martínez-Finkelshtein} et al., J. Comput. Appl. Math. 145, No. 1, 167--182 (2002; Zbl 1008.34048) Full Text: DOI
Hilscher, Roman A time scales version of a Wirtinger-type inequality and applications. (English) Zbl 1025.26012 J. Comput. Appl. Math. 141, No. 1-2, 219-226 (2002). Reviewer: Ondřej Došlý (Brno) MSC: 26D10 39A10 34C10 PDFBibTeX XMLCite \textit{R. Hilscher}, J. Comput. Appl. Math. 141, No. 1--2, 219--226 (2002; Zbl 1025.26012) Full Text: DOI
Guseinov, G. Sh.; Kaymakçalan, B. On a disconjugacy criterion for second-order dynamic equations on time scales. (English) Zbl 1014.34023 J. Comput. Appl. Math. 141, No. 1-2, 187-196 (2002). Reviewer: Roman Hilscher (East Lansing) MSC: 34C10 39A11 93A10 PDFBibTeX XMLCite \textit{G. Sh. Guseinov} and \textit{B. Kaymakçalan}, J. Comput. Appl. Math. 141, No. 1--2, 187--196 (2002; Zbl 1014.34023) Full Text: DOI
Erbe, Lynn; Peterson, Allan Oscillation criteria for second-order matrix dynamic equations on a time scale. (English) Zbl 1017.34030 J. Comput. Appl. Math. 141, No. 1-2, 169-185 (2002). Reviewer: Ondřej Došlý (Brno) MSC: 34C10 39A10 34B24 34B30 PDFBibTeX XMLCite \textit{L. Erbe} and \textit{A. Peterson}, J. Comput. Appl. Math. 141, No. 1--2, 169--185 (2002; Zbl 1017.34030) Full Text: DOI
Došlý, Ondřej; Hilger, Stefan A necessary and sufficient condition for oscillation of the Sturm-Liouville dynamic equation on time scales. (English) Zbl 1009.34033 J. Comput. Appl. Math. 141, No. 1-2, 147-158 (2002). Reviewer: Roman Hilscher (East Lansing) MSC: 34C10 34B24 39A10 39A11 39A12 PDFBibTeX XMLCite \textit{O. Došlý} and \textit{S. Hilger}, J. Comput. Appl. Math. 141, No. 1--2, 147--158 (2002; Zbl 1009.34033) Full Text: DOI
Coleman, John P.; Duxbury, Suzanne C. Mixed collocation methods for \(y''=f(x,y)\). (English) Zbl 0971.65073 J. Comput. Appl. Math. 126, No. 1-2, 47-75 (2000). Reviewer: Emil Minchev (Sofia) MSC: 65L60 65L05 34C10 34A34 PDFBibTeX XMLCite \textit{J. P. Coleman} and \textit{S. C. Duxbury}, J. Comput. Appl. Math. 126, No. 1--2, 47--75 (2000; Zbl 0971.65073) Full Text: DOI
López, David J.; Martín, Pablo; Farto, José M. Generalization of the Störmer method for perturbed oscillators without explicit first derivatives. (English) Zbl 0958.65087 J. Comput. Appl. Math. 111, No. 1-2, 123-132 (1999). Reviewer: Rudolf Scherer (Karlsruhe) MSC: 65L06 34A34 34C10 65L05 65L70 PDFBibTeX XMLCite \textit{D. J. López} et al., J. Comput. Appl. Math. 111, No. 1--2, 123--132 (1999; Zbl 0958.65087) Full Text: DOI
Van Hecke, T.; Vanden Berghe, G.; Van Daele, M.; De Meyer, H. Comment on: A two-stage fourth-order “almost” \(P\)-stable method for oscillatory problems. (English) Zbl 0955.65051 J. Comput. Appl. Math. 103, No. 2, 297-300 (1999). MSC: 65L06 65L05 65L20 34A34 34C10 PDFBibTeX XMLCite \textit{T. Van Hecke} et al., J. Comput. Appl. Math. 103, No. 2, 297--300 (1999; Zbl 0955.65051) Full Text: DOI
Chawla, M. M.; Al-Zanaidi, M. A. A two-stage fourth-order “almost” P-stable method for oscillatory problems. (English) Zbl 0939.65099 J. Comput. Appl. Math. 89, No. 1, 115-118 (1998). Reviewer: J.C.Butcher (Auckland) MSC: 65L06 34A34 34C10 65L05 65L20 PDFBibTeX XMLCite \textit{M. M. Chawla} and \textit{M. A. Al-Zanaidi}, J. Comput. Appl. Math. 89, No. 1, 115--118 (1998; Zbl 0939.65099) Full Text: DOI
Džurina, Jozef; Šoltés, Vincent Asymptotic analysis of ODEs. (English) Zbl 0858.34028 J. Comput. Appl. Math. 67, No. 2, 301-307 (1996). Reviewer: J.Ohriska (Košice) MSC: 34C10 PDFBibTeX XMLCite \textit{J. Džurina} and \textit{V. Šoltés}, J. Comput. Appl. Math. 67, No. 2, 301--307 (1996; Zbl 0858.34028) Full Text: DOI
Rovder, Jozef On monotone solutions of a third-order differential equation. (English) Zbl 0856.34039 J. Comput. Appl. Math. 66, No. 1-2, 421-432 (1996). Reviewer: M.Švec (Bratislava) MSC: 34C10 PDFBibTeX XMLCite \textit{J. Rovder}, J. Comput. Appl. Math. 66, No. 1--2, 421--432 (1996; Zbl 0856.34039) Full Text: DOI
Zarzo, A.; Dehesa, J. S. Spectral properties of solutions of hypergeometric-type differential equations. (English) Zbl 0802.33015 J. Comput. Appl. Math. 50, No. 1-3, 613-623 (1994). Reviewer: P.A.McCoy (Annapolis) MSC: 33C75 34C10 34E20 PDFBibTeX XMLCite \textit{A. Zarzo} and \textit{J. S. Dehesa}, J. Comput. Appl. Math. 50, No. 1--3, 613--623 (1994; Zbl 0802.33015) Full Text: DOI
Rovder, Jozef Asymptotic and oscillatory behaviour of solutions of a linear differential equation. (English) Zbl 0764.34027 J. Comput. Appl. Math. 41, No. 1-2, 41-47 (1992). Reviewer: J.Vosmanský (Brno) MSC: 34C10 34D05 34A30 PDFBibTeX XMLCite \textit{J. Rovder}, J. Comput. Appl. Math. 41, No. 1--2, 41--47 (1992; Zbl 0764.34027) Full Text: DOI
Graef, John R.; Spikes, Paul W. On the oscillation of an \(n\)th-order nonlinear neutral delay differential equation. (English) Zbl 0757.34058 J. Comput. Appl. Math. 41, No. 1-2, 35-40 (1992). Reviewer: P.Marušiak (Žilina) MSC: 34K99 34K40 34C10 PDFBibTeX XMLCite \textit{J. R. Graef} and \textit{P. W. Spikes}, J. Comput. Appl. Math. 41, No. 1--2, 35--40 (1992; Zbl 0757.34058) Full Text: DOI
Elbert, Á. Asymptotic behaviour of the analytic solution of the differential equation \(y\prime(t)+y(qt)=0\) as \(q\rightarrow 1^ -\). (English) Zbl 0759.34049 J. Comput. Appl. Math. 41, No. 1-2, 5-22 (1992). Reviewer: M.Lizana (Merida) MSC: 34K99 34C10 34M99 PDFBibTeX XMLCite \textit{Á. Elbert}, J. Comput. Appl. Math. 41, No. 1--2, 5--22 (1992; Zbl 0759.34049) Full Text: DOI