Liu, Shitao; Ni, Mingkang A class of singularly perturbed equations with discontinuous right-hand side in the critical case. (English) Zbl 1520.34057 Comput. Math. Math. Phys. 63, No. 2, 218-230 (2023). MSC: 34E15 34A36 34B15 34E05 PDFBibTeX XMLCite \textit{S. Liu} and \textit{M. Ni}, Comput. Math. Math. Phys. 63, No. 2, 218--230 (2023; Zbl 1520.34057) Full Text: DOI
Yang, Qian; Ni, Mingkang Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion-advection equation. (English) Zbl 1520.34058 Chin. Ann. Math., Ser. B 44, No. 1, 81-98 (2023). MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{M. Ni}, Chin. Ann. Math., Ser. B 44, No. 1, 81--98 (2023; Zbl 1520.34058) Full Text: DOI
Yang, Q.; Ni, Mingkang Multizonal boundary and internal layers in the singularly perturbed problems for a stationary equation of reaction-advection-diffusion type with weak and discontinuous nonlinearity. (English) Zbl 1512.34105 Comput. Math. Math. Phys. 62, No. 12, 2123-2138 (2022). MSC: 34E15 34B15 34E05 34A36 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{M. Ni}, Comput. Math. Math. Phys. 62, No. 12, 2123--2138 (2022; Zbl 1512.34105) Full Text: DOI
Wu, Xiao; Ni, Mingkang Existence and stability of periodic solution of contrast structure type in discontinuous singularly perturbed reaction-convection-diffusion problem. (English) Zbl 1500.35017 Comput. Math. Math. Phys. 62, No. 10, 1664-1679 (2022) and Zh. Vychisl. Mat. Mat. Fiz. 62, No. 10, 1695 (2022). MSC: 35B25 35B35 35K20 35K58 35R05 PDFBibTeX XMLCite \textit{X. Wu} and \textit{M. Ni}, Comput. Math. Math. Phys. 62, No. 10, 1664--1679 (2022; Zbl 1500.35017) Full Text: DOI
Yang, Qian; Ni, Mingkang Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion equation with a multiple root of the degenerate equation. (English) Zbl 1495.34080 Sci. China, Math. 65, No. 2, 291-308 (2022). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{M. Ni}, Sci. China, Math. 65, No. 2, 291--308 (2022; Zbl 1495.34080) Full Text: DOI
Liubavin, Aleksei; Ni, Mingkang; Yang, Qian Solutions of internal layers for a class of singularly perturbed quasilinear Robin boundary value problems with discontinuous right-hand side. (English) Zbl 1488.34326 J. Jilin Univ., Sci. 59, No. 3, 451-459 (2021). MSC: 34E15 34E05 34A36 34B15 PDFBibTeX XMLCite \textit{A. Liubavin} et al., J. Jilin Univ., Sci. 59, No. 3, 451--459 (2021; Zbl 1488.34326) Full Text: DOI
Yang, Qian; Ni, Mingkang Multizonal internal layers in the singularly perturbed equation with a discontinuous right-hand side. (English) Zbl 1476.34126 Comput. Math. Math. Phys. 61, No. 6, 953-963 (2021). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34E05 34B15 34A36 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{M. Ni}, Comput. Math. Math. Phys. 61, No. 6, 953--963 (2021; Zbl 1476.34126) Full Text: DOI
Ni, Mingkang; Pan, Yafei; Wu, Xiao Spatial contrast structure for singular perturbation problems with right end discontinuities. (Chinese. English summary) Zbl 1474.34390 J. Shanghai Univ., Nat. Sci. 26, No. 6, 853-883 (2020). MSC: 34E15 34-02 34B15 34A36 34E05 PDFBibTeX XMLCite \textit{M. Ni} et al., J. Shanghai Univ., Nat. Sci. 26, No. 6, 853--883 (2020; Zbl 1474.34390) Full Text: DOI
Wu, Limeng; Ni, Mingkang; Li, Suhong; Lu, Haibo Asymptotic solution of singularly perturbed boundary value problem with integral boundary condition. (Chinese. English summary) Zbl 1474.34392 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 5, 1192-1203 (2020). MSC: 34E15 34B15 34B10 34E05 PDFBibTeX XMLCite \textit{L. Wu} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 5, 1192--1203 (2020; Zbl 1474.34392)
Feng, Tao; Ni, Mingkang Internal layers for a quasi-linear singularly perturbed delay differential equation. (English) Zbl 1455.34077 J. Appl. Anal. Comput. 10, No. 4, 1666-1682 (2020). MSC: 34K26 34E20 34B15 PDFBibTeX XMLCite \textit{T. Feng} and \textit{M. Ni}, J. Appl. Anal. Comput. 10, No. 4, 1666--1682 (2020; Zbl 1455.34077) Full Text: DOI
Ni, M. K.; Qi, X. T.; Levashova, N. T. Internal layer for a singularly perturbed equation with discontinuous right-hand side. (English. Russian original) Zbl 1458.34104 Differ. Equ. 56, No. 10, 1276-1284 (2020); translation from Differ. Uravn. 56, No. 10, 1310-1317 (2020). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34B15 34E05 34A36 PDFBibTeX XMLCite \textit{M. K. Ni} et al., Differ. Equ. 56, No. 10, 1276--1284 (2020; Zbl 1458.34104); translation from Differ. Uravn. 56, No. 10, 1310--1317 (2020) Full Text: DOI
Zhang, Yutao; Ni, Mingkang Internal layer of a class of singularly perturbed equations. (Chinese. English summary) Zbl 1463.34243 J. Jilin Univ., Sci. 58, No. 2, 189-201 (2020). MSC: 34E15 34E05 34B15 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{M. Ni}, J. Jilin Univ., Sci. 58, No. 2, 189--201 (2020; Zbl 1463.34243) Full Text: DOI
Chaikovskii, Dmitrii; Ni, Mingkang Internal layers for a singularly perturbed differential equation with Robin boundary value condition. (English) Zbl 1463.34239 J. East China Norm. Univ., Nat. Sci. Ed. 2020, No. 2, 23-34 (2020). MSC: 34E15 34A36 34B15 34E05 PDFBibTeX XMLCite \textit{D. Chaikovskii} and \textit{M. Ni}, J. East China Norm. Univ., Nat. Sci. Ed. 2020, No. 2, 23--34 (2020; Zbl 1463.34239) Full Text: DOI
Ni, M. K.; Nefedov, N. N.; Levashova, N. T. Asymptotics of the solution of a singularly perturbed second-order delay differential equation. (English. Russian original) Zbl 1445.34111 Differ. Equ. 56, No. 3, 290-303 (2020); translation from Differ. Uravn. 56, No. 3, 303-316 (2020). Reviewer: Robert Vrabel (Trnava) MSC: 34K26 34K07 34K10 PDFBibTeX XMLCite \textit{M. K. Ni} et al., Differ. Equ. 56, No. 3, 290--303 (2020; Zbl 1445.34111); translation from Differ. Uravn. 56, No. 3, 303--316 (2020) Full Text: DOI
Chen, Huaxiong; Zuo, Junmei; Ni, Mingkang The contrast structure for the quasi-linear singularly perturbed equations. (Chinese. English summary) Zbl 1424.34205 Math. Appl. 31, No. 3, 668-673 (2018). MSC: 34E05 34E15 34E20 34A36 34B15 PDFBibTeX XMLCite \textit{H. Chen} et al., Math. Appl. 31, No. 3, 668--673 (2018; Zbl 1424.34205)
Pan, Yafei; Ni, Mingkang; Davydova, M. A. Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity. (English. Russian original) Zbl 1432.34077 Math. Notes 104, No. 5, 735-744 (2018); translation from Mat. Zametki 104, No. 5, 755-766 (2018). Reviewer: Dilmurat Tursunov (Osh) MSC: 34E15 34A36 34E05 34B15 PDFBibTeX XMLCite \textit{Y. Pan} et al., Math. Notes 104, No. 5, 735--744 (2018; Zbl 1432.34077); translation from Mat. Zametki 104, No. 5, 755--766 (2018) Full Text: DOI
Wu, Limeng; Ni, Mingkang; Lu, Haibo Internal layer solution of singularly perturbed optimal control problem with integral boundary condition. (English) Zbl 1394.34114 Qual. Theory Dyn. Syst. 17, No. 1, 49-66 (2018). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34B10 49K15 34E05 PDFBibTeX XMLCite \textit{L. Wu} et al., Qual. Theory Dyn. Syst. 17, No. 1, 49--66 (2018; Zbl 1394.34114) Full Text: DOI
Ni, Mingkang; Pang, Yafei; Levashova, N. T.; Nikolaeva, O. A. Internal layers for a singularly perturbed second-order quasilinear differential equation with discontinuous right-hand side. (English. Russian original) Zbl 1391.34093 Differ. Equ. 53, No. 12, 1567-1577 (2017); translation from Differ. Uravn. 53, No. 12, 1616-1626 (2017). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E15 34E05 34B15 34A36 PDFBibTeX XMLCite \textit{M. Ni} et al., Differ. Equ. 53, No. 12, 1567--1577 (2017; Zbl 1391.34093); translation from Differ. Uravn. 53, No. 12, 1616--1626 (2017) Full Text: DOI
Wang, Aifeng; Ni, Mingkang The step-type contrast structure for high dimensional Tikhonov system with Neumann boundary conditions. (English) Zbl 1418.34116 Discrete Dyn. Nat. Soc. 2016, Article ID 4569198, 8 p. (2016). MSC: 34E15 35B25 34E05 34B15 PDFBibTeX XMLCite \textit{A. Wang} and \textit{M. Ni}, Discrete Dyn. Nat. Soc. 2016, Article ID 4569198, 8 p. (2016; Zbl 1418.34116) Full Text: DOI
Ni, Min Kan; Wang, Ai Feng Step-like contrast structure for a nonlinear system of singularly perturbed differential equations in the critical case. (English) Zbl 1361.34068 Differ. Equ. 52, No. 12, 1575-1584 (2016); translation from Differ. Uravn. 52, No. 12, 1647-1656 (2016). MSC: 34E05 34E15 34B15 PDFBibTeX XMLCite \textit{M. K. Ni} and \textit{A. F. Wang}, Differ. Equ. 52, No. 12, 1575--1584 (2016; Zbl 1361.34068); translation from Differ. Uravn. 52, No. 12, 1647--1656 (2016) Full Text: DOI
Nefedov, N. N.; Ni, Minkang Internal layers in the one-dimensional reaction-diffusion equation with a discontinuous reactive term. (English. Russian original) Zbl 1367.34082 Comput. Math. Math. Phys. 55, No. 12, 2001-2007 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 12, 2042-2048 (2015). Reviewer: Klaus R. Schneider (Berlin) MSC: 34E15 34B15 34E05 34A36 PDFBibTeX XMLCite \textit{N. N. Nefedov} and \textit{M. Ni}, Comput. Math. Math. Phys. 55, No. 12, 2001--2007 (2015; Zbl 1367.34082); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 12, 2042--2048 (2015) Full Text: DOI
Wang, Ai-Feng; Ni, Ming-Kang Contrast structure for singular singularly perturbed boundary value problem. (English) Zbl 1317.34033 Appl. Math. Mech., Engl. Ed. 35, No. 5, 655-666 (2014). MSC: 34B16 34E15 34E05 PDFBibTeX XMLCite \textit{A.-F. Wang} and \textit{M.-K. Ni}, Appl. Math. Mech., Engl. Ed. 35, No. 5, 655--666 (2014; Zbl 1317.34033) Full Text: DOI
Ni, Mingkang; Guseva, I. S. Solution with an internal transition layer for a singularly perturbed second-order equation with an advancing and a retarded argument. (English. Russian original) Zbl 1303.34057 Differ. Equ. 50, No. 6, 751-764 (2014); translation from Differ. Uravn. 50, No. 6, 754-767 (2014). MSC: 34K26 34K10 34E05 PDFBibTeX XMLCite \textit{M. Ni} and \textit{I. S. Guseva}, Differ. Equ. 50, No. 6, 751--764 (2014; Zbl 1303.34057); translation from Differ. Uravn. 50, No. 6, 754--767 (2014) Full Text: DOI
Lu, Haibo; Ni, Mingkang; Wu, Limeng Geometric singular perturbation approach to singular singularly perturbed systems. (Chinese. English summary) Zbl 1313.34168 J. East China Norm. Univ., Nat. Sci. Ed. 2013, No. 3, 140-148 (2013). MSC: 34E15 34B15 34C45 PDFBibTeX XMLCite \textit{H. Lu} et al., J. East China Norm. Univ., Nat. Sci. Ed. 2013, No. 3, 140--148 (2013; Zbl 1313.34168) Full Text: DOI
Wang, Na; Ni, Mingkang The interior layer phenomena for a singularly perturbed delay-differential equation. (English) Zbl 1289.34196 Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 2, 532-542 (2013). MSC: 34K26 34K10 PDFBibTeX XMLCite \textit{N. Wang} and \textit{M. Ni}, Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 2, 532--542 (2013; Zbl 1289.34196) Full Text: DOI
Ni, Mingkang On the internal layer for a singularly perturbed system of second-order delay differential equations. (English. Russian original) Zbl 1293.34099 Differ. Equ. 49, No. 8, 941-954 (2013); translation from Differ. Uravn. 49, No. 8, 971-984 (2013). Reviewer: Robert Vrabel (Trnava) MSC: 34K26 34K10 34E05 PDFBibTeX XMLCite \textit{M. Ni}, Differ. Equ. 49, No. 8, 941--954 (2013; Zbl 1293.34099); translation from Differ. Uravn. 49, No. 8, 971--984 (2013) Full Text: DOI
Ding, Haiyun; Ni, Mingkang Singular perturbation of a three-point value problem of a higher-order nonlinear differential equation. (Chinese. English summary) Zbl 1289.34043 Acta Math. Appl. Sin. 36, No. 2, 315-323 (2013). MSC: 34B10 34B15 34B16 PDFBibTeX XMLCite \textit{H. Ding} and \textit{M. Ni}, Acta Math. Appl. Sin. 36, No. 2, 315--323 (2013; Zbl 1289.34043)
Ding, Haiyun; Ni, Mingkang Singularly perturbed boundary value problems with discontinuous source terms. (Chinese. English summary) Zbl 1274.34046 J. Math., Wuhan Univ. 32, No. 6, 1121-1128 (2012). MSC: 34B15 34E15 34E05 PDFBibTeX XMLCite \textit{H. Ding} and \textit{M. Ni}, J. Math., Wuhan Univ. 32, No. 6, 1121--1128 (2012; Zbl 1274.34046)
Ding, Haiyun; Ni, Mingkang; Lin, Wuzhong; Cao, Yang Singularly perturbed semi-linear boundary value problems with discontinuous functions. (English) Zbl 1265.34057 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 2, 793-799 (2012). MSC: 34B15 34E05 34E15 34A36 PDFBibTeX XMLCite \textit{H. Ding} et al., Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 2, 793--799 (2012; Zbl 1265.34057) Full Text: DOI
Wang, Aifeng; Ni, Mingkang The interior layer for a nonlinear singularly perturbed differential-difference equation. (English) Zbl 1265.34276 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 2, 695-709 (2012). MSC: 34K26 34E20 34B15 34E05 PDFBibTeX XMLCite \textit{A. Wang} and \textit{M. Ni}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 2, 695--709 (2012; Zbl 1265.34276) Full Text: DOI
Lin, Surong; Ni, Mingkang Singular perturbations of BVP for third-order nonlinear VDE. (Chinese. English summary) Zbl 1265.34059 J. East China Norm. Univ., Nat. Sci. Ed. 2012, No. 1, 138-150 (2012). MSC: 34B15 34E15 34C20 34A45 47N20 34E05 PDFBibTeX XMLCite \textit{S. Lin} and \textit{M. Ni}, J. East China Norm. Univ., Nat. Sci. Ed. 2012, No. 1, 138--150 (2012; Zbl 1265.34059)
Ni, Mingkang; Gurman, V. I. Sewing connection of step-step solution for singularly perturbed problems. (English) Zbl 1265.34208 J. Math. Res. Appl. 32, No. 1, 26-32 (2012). MSC: 34E15 34E20 34B15 PDFBibTeX XMLCite \textit{M. Ni} and \textit{V. I. Gurman}, J. Math. Res. Appl. 32, No. 1, 26--32 (2012; Zbl 1265.34208) Full Text: DOI
Lu, Hai-bo; Ni, Ming-kang; Wu, Li-meng Singularly perturbed boundary value problems for a class of second order turning point on infinite interval. (English) Zbl 1260.34116 Acta Math. Appl. Sin., Engl. Ser. 28, No. 3, 485-494 (2012). Reviewer: Robert Vrabel (Trnava) MSC: 34E20 34E15 34E05 34B40 34B05 PDFBibTeX XMLCite \textit{H.-b. Lu} et al., Acta Math. Appl. Sin., Engl. Ser. 28, No. 3, 485--494 (2012; Zbl 1260.34116) Full Text: DOI
Ni, Mingkang; Wang, Zhiming On higher-dimensional contrast structure of singularly perturbed Dirichlet problem. (English) Zbl 1250.34049 Sci. China, Math. 55, No. 3, 495-507 (2012). Reviewer: Robert Vrabel (Trnava) MSC: 34E15 34B15 PDFBibTeX XMLCite \textit{M. Ni} and \textit{Z. Wang}, Sci. China, Math. 55, No. 3, 495--507 (2012; Zbl 1250.34049) Full Text: DOI
Wu, Limeng; Ni, Mingkang; Lu, Haibo Step-like contrast structure of singularly perturbed optimal control problem. (English) Zbl 1340.34196 Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 46, 16 p. (2011). MSC: 34E05 49K15 34B15 34E15 PDFBibTeX XMLCite \textit{L. Wu} et al., Electron. J. Qual. Theory Differ. Equ. 2011, Paper No. 46, 16 p. (2011; Zbl 1340.34196) Full Text: DOI
Ding, Haiyun; Ni, Mingkang Singularly perturbed boundary value problem of second order quasi-linear equation with discontinuous function. (Chinese. English summary) Zbl 1240.34071 Pure Appl. Math. 26, No. 5, 768-775, 803 (2010). MSC: 34B15 34D15 PDFBibTeX XMLCite \textit{H. Ding} and \textit{M. Ni}, Pure Appl. Math. 26, No. 5, 768--775, 803 (2010; Zbl 1240.34071)
Xie, Feng; Jin, Zhaoyang; Ni, Mingkang On the step-type contrast structure of a second-order semilinear differential equation with integral boundary conditions. (English) Zbl 1211.34070 Electron. J. Qual. Theory Differ. Equ. 2010, Paper No. 62, 14 p. (2010). MSC: 34E05 34E20 34B10 PDFBibTeX XMLCite \textit{F. Xie} et al., Electron. J. Qual. Theory Differ. Equ. 2010, Paper No. 62, 14 p. (2010; Zbl 1211.34070) Full Text: EuDML EMIS
Ni, Mingkang; Lin, Wuzhong Singular perturbation with step-type contrast structures. (Chinese. English summary) Zbl 1212.34158 Appl. Math., Ser. A (Chin. Ed.) 24, No. 3, 290-300 (2009). MSC: 34E05 34B15 34E20 PDFBibTeX XMLCite \textit{M. Ni} and \textit{W. Lin}, Appl. Math., Ser. A (Chin. Ed.) 24, No. 3, 290--300 (2009; Zbl 1212.34158)
Mo, Jiaqi; Ni, Mingkang Recent progress in study of singular perturbation problems. (English) Zbl 1212.34001 J. Shanghai Univ. 13, No. 1, 1-5 (2009). MSC: 34-02 34E15 34B60 PDFBibTeX XMLCite \textit{J. Mo} and \textit{M. Ni}, J. Shanghai Univ. 13, No. 1, 1--5 (2009; Zbl 1212.34001) Full Text: DOI
Ni, Mingkang; Wang, Zhiming On step-like contrast structure of singularly perturbed systems. (English) Zbl 1179.35045 Bound. Value Probl. 2009, Article ID 634324, 17 p. (2009). MSC: 35B25 35K58 35K20 35C20 PDFBibTeX XMLCite \textit{M. Ni} and \textit{Z. Wang}, Bound. Value Probl. 2009, Article ID 634324, 17 p. (2009; Zbl 1179.35045) Full Text: DOI EuDML
Zhu, Zhenbo; Ni, Mingkang Dirichlet problem of semilinear singular perturbation elliptic equations. (Chinese. English summary) Zbl 1199.35092 J. East China Norm. Univ., Nat. Sci. Ed. 2008, No. 5, 72-77, 89 (2008). MSC: 35J60 35B25 35J25 PDFBibTeX XMLCite \textit{Z. Zhu} and \textit{M. Ni}, J. East China Norm. Univ., Nat. Sci. Ed. 2008, No. 5, 72--77, 89 (2008; Zbl 1199.35092)
Xu, Jie; Chen, Lihua; Ni, Mingkang Boundary value problem for a class of third order differential equations. (Chinese. English summary) Zbl 1199.34276 J. East China Norm. Univ., Nat. Sci. Ed. 2008, No. 3, 21-29, 36 (2008). MSC: 34E05 34E15 34B15 PDFBibTeX XMLCite \textit{J. Xu} et al., J. East China Norm. Univ., Nat. Sci. Ed. 2008, No. 3, 21--29, 36 (2008; Zbl 1199.34276)
Chen, Lihua; Xu, Jie; Ni, Mingkang Singularly perturbed BVP for a third nonlinear ODE. (Chinese. English summary) Zbl 1199.34279 J. East China Norm. Univ., Nat. Sci. Ed. 2008, No. 3, 12-20 (2008). MSC: 34E15 34B15 34E05 PDFBibTeX XMLCite \textit{L. Chen} et al., J. East China Norm. Univ., Nat. Sci. Ed. 2008, No. 3, 12--20 (2008; Zbl 1199.34279)
Ni, Mingkang; Lin, Wuzhong A conditionally stable BVP of the singular perturbation equation system with some small parameters. (Chinese. English summary) Zbl 0761.34045 J. East China Norm. Univ., Nat. Sci. Ed. 1992, No. 1, 16-23 (1992). MSC: 34E15 34B15 PDFBibTeX XMLCite \textit{M. Ni} and \textit{W. Lin}, J. East China Norm. Univ., Nat. Sci. Ed. 1992, No. 1, 16--23 (1992; Zbl 0761.34045)
Ni, Mingkang The boundary problem for critical singular perturbation. (Chinese. English summary) Zbl 0698.34050 J. East China Norm. Univ., Nat. Sci. Ed. 1989, No. 2, 1-10 (1989). MSC: 34E15 34B99 PDFBibTeX XMLCite \textit{M. Ni}, J. East China Norm. Univ., Nat. Sci. Ed. 1989, No. 2, 1--10 (1989; Zbl 0698.34050)