Wang, Wansheng; Chen, Qiong; Mao, Mengli An efficient IMEX method for nonlinear functional differential equations with state-dependent delay. (English) Zbl 07698998 Appl. Numer. Math. 185, 56-71 (2023). MSC: 65Lxx 34Kxx 34Axx PDFBibTeX XMLCite \textit{W. Wang} et al., Appl. Numer. Math. 185, 56--71 (2023; Zbl 07698998) Full Text: DOI
Behera, S.; Ray, S. Saha A novel numerical scheme based on Müntz-Legendre wavelets for solving pantograph Volterra delay-integro-differential equations. (English) Zbl 1524.65958 Mediterr. J. Math. 20, No. 1, Paper No. 46, 35 p. (2023). MSC: 65R20 45D05 45J05 PDFBibTeX XMLCite \textit{S. Behera} and \textit{S. S. Ray}, Mediterr. J. Math. 20, No. 1, Paper No. 46, 35 p. (2023; Zbl 1524.65958) Full Text: DOI
Khodabandelo, Hamid R.; Shivanian, Elyas; Abbasbandy, Saeid A novel shifted Jacobi operational matrix method for nonlinear multi-terms delay differential equations of fractional variable-order with periodic and anti-periodic conditions. (English) Zbl 07781421 Math. Methods Appl. Sci. 45, No. 16, 10116-10135 (2022). MSC: 65M99 PDFBibTeX XMLCite \textit{H. R. Khodabandelo} et al., Math. Methods Appl. Sci. 45, No. 16, 10116--10135 (2022; Zbl 07781421) Full Text: DOI
Belarbi, Soumia; Dahmani, Zoibir; Sarikaya, Mehmet Zeki A sequential fractional differential problem of pantograph type: existence uniqueness and illustrations. (English) Zbl 1495.34023 Turk. J. Math. 46, No. 2, SI-1, 563-586 (2022). MSC: 34A34 34B10 PDFBibTeX XMLCite \textit{S. Belarbi} et al., Turk. J. Math. 46, No. 2, 563--586 (2022; Zbl 1495.34023) Full Text: DOI
Wang, Wansheng Stage-based interpolation Runge-Kutta methods for nonlinear Volterra functional differential equations. (English) Zbl 1492.65187 Calcolo 59, No. 3, Paper No. 28, 34 p. (2022). MSC: 65L03 65L06 65L04 65L20 PDFBibTeX XMLCite \textit{W. Wang}, Calcolo 59, No. 3, Paper No. 28, 34 p. (2022; Zbl 1492.65187) Full Text: DOI
Behera, S.; Saha Ray, S. An efficient numerical method based on Euler wavelets for solving fractional order pantograph Volterra delay-integro-differential equations. (English) Zbl 1491.65054 J. Comput. Appl. Math. 406, Article ID 113825, 23 p. (2022). MSC: 65L03 45D05 65L60 65R20 45J05 PDFBibTeX XMLCite \textit{S. Behera} and \textit{S. Saha Ray}, J. Comput. Appl. Math. 406, Article ID 113825, 23 p. (2022; Zbl 1491.65054) Full Text: DOI
Jafari, H.; Mahmoudi, M.; Noori Skandari, M. H. A new numerical method to solve pantograph delay differential equations with convergence analysis. (English) Zbl 1494.65050 Adv. Difference Equ. 2021, Paper No. 129, 12 p. (2021). MSC: 65L03 65L60 65L20 PDFBibTeX XMLCite \textit{H. Jafari} et al., Adv. Difference Equ. 2021, Paper No. 129, 12 p. (2021; Zbl 1494.65050) Full Text: DOI
Ali, Gauhar; Shah, Kamal; Abdeljawad, Thabet; Khan, Hasib; Ur Rahman, Ghaus; Khan, Aziz On existence and stability results to a class of boundary value problems under Mittag-Leffler power law. (English) Zbl 1486.34150 Adv. Difference Equ. 2020, Paper No. 407, 13 p. (2020). MSC: 34K37 34K20 26A33 34A08 PDFBibTeX XMLCite \textit{G. Ali} et al., Adv. Difference Equ. 2020, Paper No. 407, 13 p. (2020; Zbl 1486.34150) Full Text: DOI
Dehestani, Haniye; Ordokhani, Yadollah; Razzaghi, Mohsen Numerical technique for solving fractional generalized pantograph-delay differential equations by using fractional-order hybrid Bessel functions. (English) Zbl 1461.65200 Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 9, 27 p. (2020). MSC: 65L03 34K37 PDFBibTeX XMLCite \textit{H. Dehestani} et al., Int. J. Appl. Comput. Math. 6, No. 1, Paper No. 9, 27 p. (2020; Zbl 1461.65200) Full Text: DOI
Rezabeyk, S.; Abbasbandy, S.; Shivanian, E. Solving fractional-order delay integro-differential equations using operational matrix based on fractional-order Euler polynomials. (English) Zbl 1452.65143 Math. Sci., Springer 14, No. 2, 97-107 (2020). MSC: 65L60 34K37 45J05 65L03 PDFBibTeX XMLCite \textit{S. Rezabeyk} et al., Math. Sci., Springer 14, No. 2, 97--107 (2020; Zbl 1452.65143) Full Text: DOI
Wang, Li-Ping; Chen, Yi-Ming; Liu, Da-Yan; Boutat, Driss Numerical algorithm to solve generalized fractional pantograph equations with variable coefficients based on shifted Chebyshev polynomials. (English) Zbl 1513.65211 Int. J. Comput. Math. 96, No. 12, 2487-2510 (2019). MSC: 65L03 34K37 65L05 65L70 PDFBibTeX XMLCite \textit{L.-P. Wang} et al., Int. J. Comput. Math. 96, No. 12, 2487--2510 (2019; Zbl 1513.65211) Full Text: DOI HAL
Kheybari, Samad; Darvishi, Mohammad Taghi; Hashemi, Mir Sajjad Numerical simulation for the space-fractional diffusion equations. (English) Zbl 1429.65244 Appl. Math. Comput. 348, 57-69 (2019). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{S. Kheybari} et al., Appl. Math. Comput. 348, 57--69 (2019; Zbl 1429.65244) Full Text: DOI
Zhan, Weijun; Gao, Yan; Guo, Qian; Yao, Xiaofeng The partially truncated Euler-Maruyama method for nonlinear pantograph stochastic differential equations. (English) Zbl 1428.60087 Appl. Math. Comput. 346, 109-126 (2019). MSC: 60H10 34F05 60H35 65C30 PDFBibTeX XMLCite \textit{W. Zhan} et al., Appl. Math. Comput. 346, 109--126 (2019; Zbl 1428.60087) Full Text: DOI
Wang, Wansheng Optimal convergence orders of fully geometric mesh one-leg methods for neutral differential equations with vanishing variable delay. (English) Zbl 1415.65149 Adv. Comput. Math. 45, No. 3, 1631-1655 (2019). MSC: 65L03 65L06 65L20 PDFBibTeX XMLCite \textit{W. Wang}, Adv. Comput. Math. 45, No. 3, 1631--1655 (2019; Zbl 1415.65149) Full Text: DOI
Ezz-Eldien, S. S.; Doha, E. H. Fast and precise spectral method for solving pantograph type Volterra integro-differential equations. (English) Zbl 1447.65014 Numer. Algorithms 81, No. 1, 57-77 (2019). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65L60 33C45 45J05 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} and \textit{E. H. Doha}, Numer. Algorithms 81, No. 1, 57--77 (2019; Zbl 1447.65014) Full Text: DOI
Keshi, Farzad Khane; Moghaddam, Behrouz Parsa; Aghili, Arman A numerical approach for solving a class of variable-order fractional functional integral equations. (English) Zbl 1432.65106 Comput. Appl. Math. 37, No. 4, 4821-4834 (2018). MSC: 65L12 34A08 45J05 46N20 65L70 PDFBibTeX XMLCite \textit{F. K. Keshi} et al., Comput. Appl. Math. 37, No. 4, 4821--4834 (2018; Zbl 1432.65106) Full Text: DOI
Yang, Changqing Modified Chebyshev collocation method for pantograph-type differential equations. (English) Zbl 1460.65096 Appl. Numer. Math. 134, 132-144 (2018). MSC: 65L60 65L20 PDFBibTeX XMLCite \textit{C. Yang}, Appl. Numer. Math. 134, 132--144 (2018; Zbl 1460.65096) Full Text: DOI
Xie, Lie-jun; Zhou, Cai-lian; Xu, Song A new computational approach for the solutions of generalized pantograph-delay differential equations. (English) Zbl 1395.34081 Comput. Appl. Math. 37, No. 2, 1756-1783 (2018). MSC: 34K28 41A10 PDFBibTeX XMLCite \textit{L.-j. Xie} et al., Comput. Appl. Math. 37, No. 2, 1756--1783 (2018; Zbl 1395.34081) Full Text: DOI
Wang, Wansheng On \(A\)-stable one-leg methods for solving nonlinear Volterra functional differential equations. (English) Zbl 1426.65086 Appl. Math. Comput. 314, 380-390 (2017). MSC: 65L03 65L06 65L07 34K20 65L20 PDFBibTeX XMLCite \textit{W. Wang}, Appl. Math. Comput. 314, 380--390 (2017; Zbl 1426.65086) Full Text: DOI
Ghasemi, M.; Jalilian, Y.; Trujillo, J. J. Existence and numerical simulation of solutions for nonlinear fractional pantograph equations. (English) Zbl 1416.34058 Int. J. Comput. Math. 94, No. 10, 2041-2062 (2017). Reviewer: Xueyan Liu (New Orleans) MSC: 34K37 34K28 47N20 34A08 PDFBibTeX XMLCite \textit{M. Ghasemi} et al., Int. J. Comput. Math. 94, No. 10, 2041--2062 (2017; Zbl 1416.34058) Full Text: DOI
Jalilian, Y.; Ghasemi, M. On the solutions of a nonlinear fractional integro-differential equation of pantograph type. (English) Zbl 1382.65468 Mediterr. J. Math. 14, No. 5, Paper No. 194, 23 p. (2017). Reviewer: Fritz Keinert (Ames) MSC: 65R20 45J05 26A33 45G10 PDFBibTeX XMLCite \textit{Y. Jalilian} and \textit{M. Ghasemi}, Mediterr. J. Math. 14, No. 5, Paper No. 194, 23 p. (2017; Zbl 1382.65468) Full Text: DOI
Wang, Wansheng Fully-geometric mesh one-leg methods for the generalized pantograph equation: approximating Lyapunov functional and asymptotic contractivity. (English) Zbl 1365.65180 Appl. Numer. Math. 117, 50-68 (2017). MSC: 65L03 34K28 34K40 65L50 65L20 PDFBibTeX XMLCite \textit{W. Wang}, Appl. Numer. Math. 117, 50--68 (2017; Zbl 1365.65180) Full Text: DOI
Karimov, E. T.; López, B.; Sadarangani, K. About the existence of solutions for a hybrid nonlinear generalized fractional pantograph equation. (English) Zbl 1424.45009 Fract. Differ. Calc. 6, No. 1, 95-110 (2016). MSC: 45G10 45M99 47H09 PDFBibTeX XMLCite \textit{E. T. Karimov} et al., Fract. Differ. Calc. 6, No. 1, 95--110 (2016; Zbl 1424.45009) Full Text: DOI arXiv
Tian, Maosheng; Meng, Xuejing; Chen, Jihong; Tang, Xiaoqi The global solutions and moment boundedness of stochastic multipantograph equations. (English) Zbl 1398.93316 J. Control Sci. Eng. 2016, Article ID 6862028, 10 p. (2016). MSC: 93E03 60H10 93D30 PDFBibTeX XMLCite \textit{M. Tian} et al., J. Control Sci. Eng. 2016, Article ID 6862028, 10 p. (2016; Zbl 1398.93316) Full Text: DOI
Guo, Ying; Ding, Xiaohua; Li, Yingjian Stochastic stability for pantograph multi-group models with dispersal and stochastic perturbation. (English) Zbl 1344.93106 J. Franklin Inst. 353, No. 13, 2980-2998 (2016). MSC: 93E15 93C73 93D20 05C20 PDFBibTeX XMLCite \textit{Y. Guo} et al., J. Franklin Inst. 353, No. 13, 2980--2998 (2016; Zbl 1344.93106) Full Text: DOI
Isik, Osman Rasit; Turkoglu, Turgay A rational approximate solution for generalized pantograph-delay differential equations. (English) Zbl 1344.34079 Math. Methods Appl. Sci. 39, No. 8, 2011-2024 (2016). MSC: 34K28 42A20 34K06 PDFBibTeX XMLCite \textit{O. R. Isik} and \textit{T. Turkoglu}, Math. Methods Appl. Sci. 39, No. 8, 2011--2024 (2016; Zbl 1344.34079) Full Text: DOI
Li, Wenxue; Liu, Shuang; Xu, Dianguo The existence of periodic solutions for coupled pantograph Rayleigh system. (English) Zbl 1348.34123 Math. Methods Appl. Sci. 39, No. 7, 1667-1679 (2016). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 34K13 34B45 47N20 PDFBibTeX XMLCite \textit{W. Li} et al., Math. Methods Appl. Sci. 39, No. 7, 1667--1679 (2016; Zbl 1348.34123) Full Text: DOI
Javadi, Shahnam; Babolian, Esmail; Taheri, Zeinab Solving generalized pantograph equations by shifted orthonormal Bernstein polynomials. (English) Zbl 1382.65189 J. Comput. Appl. Math. 303, 1-14 (2016). MSC: 65L03 65L05 65L60 PDFBibTeX XMLCite \textit{S. Javadi} et al., J. Comput. Appl. Math. 303, 1--14 (2016; Zbl 1382.65189) Full Text: DOI
Yüzbaşı, Şuayip; Sezer, Mehmet Shifted Legendre approximation with the residual correction to solve pantograph-delay type differential equations. (English) Zbl 1443.65091 Appl. Math. Modelling 39, No. 21, 6529-6542 (2015). MSC: 65L03 34K07 65L60 PDFBibTeX XMLCite \textit{Ş. Yüzbaşı} and \textit{M. Sezer}, Appl. Math. Modelling 39, No. 21, 6529--6542 (2015; Zbl 1443.65091) Full Text: DOI
Ghasemi, M.; Fardi, M.; Khoshsiar Ghaziani, R. Numerical solution of nonlinear delay differential equations of fractional order in reproducing kernel Hilbert space. (English) Zbl 1410.34185 Appl. Math. Comput. 268, 815-831 (2015). MSC: 34K07 34A08 34A45 34K37 46E22 PDFBibTeX XMLCite \textit{M. Ghasemi} et al., Appl. Math. Comput. 268, 815--831 (2015; Zbl 1410.34185) Full Text: DOI
Reutskiy, S. Yu. A new collocation method for approximate solution of the pantograph functional differential equations with proportional delay. (English) Zbl 1410.65285 Appl. Math. Comput. 266, 642-655 (2015). MSC: 65L60 34K06 65L05 PDFBibTeX XMLCite \textit{S. Yu. Reutskiy}, Appl. Math. Comput. 266, 642--655 (2015; Zbl 1410.65285) Full Text: DOI
Wang, Wansheng High order stable Runge-Kutta methods for nonlinear generalized pantograph equations on the geometric mesh. (English) Zbl 1429.65137 Appl. Math. Modelling 39, No. 1, 270-283 (2015). MSC: 65L03 34K40 65L06 65L20 PDFBibTeX XMLCite \textit{W. Wang}, Appl. Math. Modelling 39, No. 1, 270--283 (2015; Zbl 1429.65137) Full Text: DOI
Bhrawy, A. H.; Doha, E. H.; Baleanu, D.; Hafez, R. M. A highly accurate Jacobi collocation algorithm for systems of high-order linear differential-difference equations with mixed initial conditions. (English) Zbl 1335.65065 Math. Methods Appl. Sci. 38, No. 14, 3022-3032 (2015). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L60 65L50 34K28 34K06 65L03 65L05 PDFBibTeX XMLCite \textit{A. H. Bhrawy} et al., Math. Methods Appl. Sci. 38, No. 14, 3022--3032 (2015; Zbl 1335.65065) Full Text: DOI
Ismailov, Z. I.; Ipek, P. Spectrums of solvable pantograph differential-operators for first order. (English) Zbl 1472.47034 Abstr. Appl. Anal. 2014, Article ID 837565, 8 p. (2014). MSC: 47E05 34G10 PDFBibTeX XMLCite \textit{Z. I. Ismailov} and \textit{P. Ipek}, Abstr. Appl. Anal. 2014, Article ID 837565, 8 p. (2014; Zbl 1472.47034) Full Text: DOI
Yüzbaşı, Şuayip Laguerre approach for solving pantograph-type Volterra integro-differential equations. (English) Zbl 1410.65510 Appl. Math. Comput. 232, 1183-1199 (2014). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{Ş. Yüzbaşı}, Appl. Math. Comput. 232, 1183--1199 (2014; Zbl 1410.65510) Full Text: DOI
Bojdi, Z. Kalateh; Ahmadi-Asl, S.; Aminataei, A. The general shifted Jacobi matrix method for solving generalized pantograph equations. (English) Zbl 1311.34032 Comput. Appl. Math. 33, No. 3, 781-794 (2014). MSC: 34A45 34B15 33C45 34A30 PDFBibTeX XMLCite \textit{Z. K. Bojdi} et al., Comput. Appl. Math. 33, No. 3, 781--794 (2014; Zbl 1311.34032) Full Text: DOI
Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M. A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. (English) Zbl 1302.65175 Appl. Numer. Math. 77, 43-54 (2014). MSC: 65L60 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Appl. Numer. Math. 77, 43--54 (2014; Zbl 1302.65175) Full Text: DOI
Yüzbaşı, Şuayip; Sezer, Mehmet An exponential approximation for solutions of generalized pantograph-delay differential equations. (English) Zbl 1427.65102 Appl. Math. Modelling 37, No. 22, 9160-9173 (2013). MSC: 65L03 34K07 65L05 65L60 PDFBibTeX XMLCite \textit{Ş. Yüzbaşı} and \textit{M. Sezer}, Appl. Math. Modelling 37, No. 22, 9160--9173 (2013; Zbl 1427.65102) Full Text: DOI
Akkaya, Tuğçe; Yalçinbaş, Salih; Sezer, Mehmet Numeric solutions for the pantograph type delay differential equation using first Boubaker polynomials. (English) Zbl 1291.65196 Appl. Math. Comput. 219, No. 17, 9484-9492 (2013). MSC: 65L03 34K28 PDFBibTeX XMLCite \textit{T. Akkaya} et al., Appl. Math. Comput. 219, No. 17, 9484--9492 (2013; Zbl 1291.65196) Full Text: DOI
Tohidi, E.; Bhrawy, A. H.; Erfani, K. A collocation method based on Bernoulli operational matrix for numerical solution of generalized pantograph equation. (English) Zbl 1273.34082 Appl. Math. Modelling 37, No. 6, 4283-4294 (2013). MSC: 34K28 65L03 PDFBibTeX XMLCite \textit{E. Tohidi} et al., Appl. Math. Modelling 37, No. 6, 4283--4294 (2013; Zbl 1273.34082) Full Text: DOI Link
Guan, Kaizhong; Wang, Qisheng; He, Xiaobao Oscillation of a pantograph differential equation with impulsive perturbations. (English) Zbl 1309.34122 Appl. Math. Comput. 219, No. 6, 3147-3153 (2012). MSC: 34K11 34K45 PDFBibTeX XMLCite \textit{K. Guan} et al., Appl. Math. Comput. 219, No. 6, 3147--3153 (2012; Zbl 1309.34122) Full Text: DOI
Bota, Constantin; Căruntu, Bogdan \(\varepsilon\)-approximate polynomial solutions for the multi-pantograph equation with variable coefficients. (English) Zbl 1291.34109 Appl. Math. Comput. 219, No. 4, 1785-1792 (2012). MSC: 34K07 PDFBibTeX XMLCite \textit{C. Bota} and \textit{B. Căruntu}, Appl. Math. Comput. 219, No. 4, 1785--1792 (2012; Zbl 1291.34109) Full Text: DOI
Yüzbaşi, Şuayip; Şahin, Niyazi; Sezer, Mehmet A Bessel collocation method for numerical solution of generalized pantograph equations. (English) Zbl 1257.65035 Numer. Methods Partial Differ. Equations 28, No. 4, 1105-1123 (2012). Reviewer: Tomas Vejchodsky (Praha) MSC: 65L03 65L05 65L60 34K28 PDFBibTeX XMLCite \textit{Ş. Yüzbaşi} et al., Numer. Methods Partial Differ. Equations 28, No. 4, 1105--1123 (2012; Zbl 1257.65035) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet A Taylor collocation method for solving high-order linear pantograph equations with linear functional argument. (English) Zbl 1228.65106 Numer. Methods Partial Differ. Equations 27, No. 6, 1628-1638 (2011). MSC: 65L03 65L05 34K28 65L60 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, Numer. Methods Partial Differ. Equations 27, No. 6, 1628--1638 (2011; Zbl 1228.65106) Full Text: DOI
Yalçinbaş, Salih; Aynigül, Müge; Sezer, Mehmet A collocation method using Hermite polynomials for approximate solution of pantograph equations. (English) Zbl 1221.65187 J. Franklin Inst. 348, No. 6, 1128-1139 (2011). MSC: 65L60 65L03 34K28 PDFBibTeX XMLCite \textit{S. Yalçinbaş} et al., J. Franklin Inst. 348, No. 6, 1128--1139 (2011; Zbl 1221.65187) Full Text: DOI
Gülsu, Mustafa; Sezer, Mehmet A collocation approach for the numerical solution of certain linear retarded and advanced integrodifferential equations with linear functional arguments. (English) Zbl 1209.65147 Numer. Methods Partial Differ. Equations 27, No. 2, 447-459 (2011). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{M. Gülsu} and \textit{M. Sezer}, Numer. Methods Partial Differ. Equations 27, No. 2, 447--459 (2011; Zbl 1209.65147) Full Text: DOI
Brunner, Hermann; Liang, Hui Stability of collocation methods for delay differential equations with vanishing delays. (English) Zbl 1205.65223 BIT 50, No. 4, 693-711 (2010). MSC: 65L20 65L03 34K28 65L60 PDFBibTeX XMLCite \textit{H. Brunner} and \textit{H. Liang}, BIT 50, No. 4, 693--711 (2010; Zbl 1205.65223) Full Text: DOI
Čermák, Jan Asymptotic bounds for linear difference systems. (English) Zbl 1191.39016 Adv. Difference Equ. 2010, Article ID 182696, 14 p. (2010). MSC: 39A22 39A06 PDFBibTeX XMLCite \textit{J. Čermák}, Adv. Difference Equ. 2010, Article ID 182696, 14 p. (2010; Zbl 1191.39016) Full Text: DOI
Wang, Wansheng; Zhang, Chengjian Preserving stability implicit Euler method for nonlinear Volterra and neutral functional differential equations in Banach space. (English) Zbl 1193.65140 Numer. Math. 115, No. 3, 451-474 (2010). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L20 34K20 34K28 34K40 34G20 PDFBibTeX XMLCite \textit{W. Wang} and \textit{C. Zhang}, Numer. Math. 115, No. 3, 451--474 (2010; Zbl 1193.65140) Full Text: DOI
Cermák, J.; Jánsky, J. On the asymptotics of the trapezoidal rule for the pantograph equation. (English) Zbl 1198.65112 Math. Comput. 78, No. 268, 2107-2126 (2009). MSC: 65L05 65L20 34K28 PDFBibTeX XMLCite \textit{J. Cermák} and \textit{J. Jánsky}, Math. Comput. 78, No. 268, 2107--2126 (2009; Zbl 1198.65112) Full Text: DOI
Saadatmandi, Abbas; Dehghan, Mehdi Variational iteration method for solving a generalized pantograph equation. (English) Zbl 1189.65172 Comput. Math. Appl. 58, No. 11-12, 2190-2196 (2009). MSC: 65L99 PDFBibTeX XMLCite \textit{A. Saadatmandi} and \textit{M. Dehghan}, Comput. Math. Appl. 58, No. 11--12, 2190--2196 (2009; Zbl 1189.65172) Full Text: DOI
Brunner, Hermann Current work and open problems in the numerical analysis of Volterra functional equations with vanishing delays. (English) Zbl 1396.65161 Front. Math. China 4, No. 1, 3-22 (2009). MSC: 65R20 PDFBibTeX XMLCite \textit{H. Brunner}, Front. Math. China 4, No. 1, 3--22 (2009; Zbl 1396.65161) Full Text: DOI
Brunner, Hermann Recent advances in the numerical analysis of Volterra functional differential equations with variable delays. (English) Zbl 1170.65103 J. Comput. Appl. Math. 228, No. 2, 524-537 (2009). Reviewer: Roland Pulch (Wuppertal) MSC: 65R20 65L05 65L20 65L60 65L70 34K06 34K28 45J05 45G10 PDFBibTeX XMLCite \textit{H. Brunner}, J. Comput. Appl. Math. 228, No. 2, 524--537 (2009; Zbl 1170.65103) Full Text: DOI
Awawdeh, Fadi; Adawi, Ahmad; Al-Shara’, Safwan Analytic solution of multipantograph equation. (English) Zbl 1167.34370 J. Appl. Math. Decis. Sci. 2008, Article ID 605064, 10 p. (2008). MSC: 34K07 34K06 PDFBibTeX XMLCite \textit{F. Awawdeh} et al., J. Appl. Math. Decis. Sci. 2008, Article ID 605064, 10 p. (2008; Zbl 1167.34370) Full Text: DOI EuDML
Xu, Y.; Zhao, J. J. Asymptotic stability of linear non-autonomous difference equations with fixed delay. (English) Zbl 1146.39022 Appl. Math. Comput. 198, No. 2, 787-798 (2008). Reviewer: Weinian Zhang (Sichuan) MSC: 39A11 39A10 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{J. J. Zhao}, Appl. Math. Comput. 198, No. 2, 787--798 (2008; Zbl 1146.39022) Full Text: DOI
Wang, Wan-Sheng; Li, Shou-Fu On the one-leg \(\theta \)-methods for solving nonlinear neutral functional differential equations. (English) Zbl 1193.34156 Appl. Math. Comput. 193, No. 1, 285-301 (2007). MSC: 34K20 34K40 65L05 PDFBibTeX XMLCite \textit{W.-S. Wang} and \textit{S.-F. Li}, Appl. Math. Comput. 193, No. 1, 285--301 (2007; Zbl 1193.34156) Full Text: DOI
Sezer, Mehmet; Akyüz-Daşcıoǧlu, Ayşegül A Taylor method for numerical solution of generalized pantograph equations with linear functional argument. (English) Zbl 1112.34063 J. Comput. Appl. Math. 200, No. 1, 217-225 (2007). MSC: 34K28 34K06 PDFBibTeX XMLCite \textit{M. Sezer} and \textit{A. Akyüz-Daşcıoǧlu}, J. Comput. Appl. Math. 200, No. 1, 217--225 (2007; Zbl 1112.34063) Full Text: DOI
Liu, M. Z.; Yang, Z. W.; Hu, G. D. Asymptotical stability of numerical methods with constant stepsize for pantograph equations. (English) Zbl 1095.65075 BIT 45, No. 4, 743-759 (2005). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L20 34K28 65L05 PDFBibTeX XMLCite \textit{M. Z. Liu} et al., BIT 45, No. 4, 743--759 (2005; Zbl 1095.65075) Full Text: DOI
Li, D.; Liu, M. Z. Runge-Kutta methods for the multi-pantograph delay equation. (English) Zbl 1070.65060 Appl. Math. Comput. 163, No. 1, 383-395 (2005). Reviewer: John C. Butcher (Auckland) MSC: 65L06 65L05 34K20 34K28 PDFBibTeX XMLCite \textit{D. Li} and \textit{M. Z. Liu}, Appl. Math. Comput. 163, No. 1, 383--395 (2005; Zbl 1070.65060) Full Text: DOI
Zhang, Chengjian; Sun, Geng Nonlinear stability of Runge-Kutta methods applied to infinite-delay-differential equations. (English) Zbl 1068.65106 Math. Comput. Modelling 39, No. 4-5, 495-503 (2004). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L20 65L06 34K28 65L05 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{G. Sun}, Math. Comput. Modelling 39, No. 4--5, 495--503 (2004; Zbl 1068.65106) Full Text: DOI
Xu, Yang; Liu, MingZhu \(\mathcal H\)-stability of linear \(\theta\)-method with general variable stepsize for system of pantograph equations with two delay terms. (English) Zbl 1071.65102 Appl. Math. Comput. 156, No. 3, 817-829 (2004). Reviewer: Jan Sieber (Bristol) MSC: 65L05 34K28 34K06 65L50 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{M. Liu}, Appl. Math. Comput. 156, No. 3, 817--829 (2004; Zbl 1071.65102) Full Text: DOI
Liu, M. Z.; Li, Dongsong Properties of analytic solution and numerical solution of multi-pantograph equation. (English) Zbl 1059.65060 Appl. Math. Comput. 155, No. 3, 853-871 (2004). Reviewer: R. S. Dahiya (Ames) MSC: 65L05 65L20 34K28 PDFBibTeX XMLCite \textit{M. Z. Liu} and \textit{D. Li}, Appl. Math. Comput. 155, No. 3, 853--871 (2004; Zbl 1059.65060) Full Text: DOI
Xu, Yang; Liu, Mingzhu \(\mathcal H\)-stability of Runge-Kutta methods with general variable stepsize for pantograph equation. (English) Zbl 1038.65070 Appl. Math. Comput. 148, No. 3, 881-892 (2004). Reviewer: Emil Minchev (Tokyo) MSC: 65L20 65L06 65L50 34K28 65L05 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{M. Liu}, Appl. Math. Comput. 148, No. 3, 881--892 (2004; Zbl 1038.65070) Full Text: DOI
Zhang, Chengjian; Sun, Gen The discrete dynamics of nonlinear infinite-delay-differential equations. (English) Zbl 1001.65091 Appl. Math. Lett. 15, No. 5, 521-526 (2002). Reviewer: Dana Petcu (Timişoara) MSC: 65L20 65L06 34K28 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{G. Sun}, Appl. Math. Lett. 15, No. 5, 521--526 (2002; Zbl 1001.65091) Full Text: DOI
Iserles, Arieh Exact and discretized stability of the pantograph equation. (English) Zbl 0880.65058 Appl. Numer. Math. 24, No. 2-3, 295-308 (1997). Reviewer: Z.Dżygadło (Warszawa) MSC: 65L07 65L05 34A30 34D05 PDFBibTeX XMLCite \textit{A. Iserles}, Appl. Numer. Math. 24, No. 2--3, 295--308 (1997; Zbl 0880.65058) Full Text: DOI
Bellen, A.; Guglielmi, N.; Torelli, L. Asymptotic stability properties of \(\theta\)-methods for the pantograph equation. (English) Zbl 0878.65064 Appl. Numer. Math. 24, No. 2-3, 279-293 (1997). Reviewer: K.Burrage (Brisbane) MSC: 65L05 65L20 34K05 PDFBibTeX XMLCite \textit{A. Bellen} et al., Appl. Numer. Math. 24, No. 2--3, 279--293 (1997; Zbl 0878.65064) Full Text: DOI
Liu, Yunkang On the \(\theta\)-method for delay differential equations with infinite lag. (English) Zbl 0853.65076 J. Comput. Appl. Math. 71, No. 2, 177-190 (1996). Reviewer: K.Burrage (Brisbane) MSC: 65L05 65L20 34K20 PDFBibTeX XMLCite \textit{Y. Liu}, J. Comput. Appl. Math. 71, No. 2, 177--190 (1996; Zbl 0853.65076) Full Text: DOI
Baker, C. T. H.; Paul, C. A. H.; Willé, D. R. Issues in the numerical solution of evolutionary delay differential equations. (English) Zbl 0832.65064 Adv. Comput. Math. 3, No. 3, 171-196 (1995). Reviewer: E.Hairer (Genève) MSC: 65L05 65-02 34K05 PDFBibTeX XMLCite \textit{C. T. H. Baker} et al., Adv. Comput. Math. 3, No. 3, 171--196 (1995; Zbl 0832.65064) Full Text: DOI
Farhloul, Mohamed; Fortin, Michel A mixed finite element for the Stokes problem using quadrilateral elements. (English) Zbl 0834.76050 Adv. Comput. Math. 3, No. 1-2, 101-113 (1995). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{M. Farhloul} and \textit{M. Fortin}, Adv. Comput. Math. 3, No. 1--2, 101--113 (1995; Zbl 0834.76050) Full Text: DOI
Iserles, A. The asymptotic behaviour of certain difference equations with proportional delays. (English) Zbl 0808.39008 Comput. Math. Appl. 28, No. 1-3, 141-152 (1994). Reviewer: Yang En-Hao (Guangzhou) MSC: 39A10 39A11 PDFBibTeX XMLCite \textit{A. Iserles}, Comput. Math. Appl. 28, No. 1--3, 141--152 (1994; Zbl 0808.39008) Full Text: DOI