Jong, KumSong; Choi, HuiChol; Jang, KyongJun; Pak, SunAe A new approach for solving one-dimensional fractional boundary value problems via Haar wavelet collocation method. (English) Zbl 07310777 Appl. Numer. Math. 160, 313-330 (2021). MSC: 65L60 65T60 34A08 26A33 PDF BibTeX XML Cite \textit{K. Jong} et al., Appl. Numer. Math. 160, 313--330 (2021; Zbl 07310777) Full Text: DOI
Baitiche, Zidane; Guerbati, Kaddour; Benchohra, Mouffak; Zhou, Yong Solvability of fractional multi-point boundary value problems with nonlinear growth at resonance. (English) Zbl 07269815 J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 2, 126-142 (2020) and Izv. Nats. Akad. Nauk Armen., Mat. 55, No. 2, 46-64 (2020). MSC: 34A08 34B10 47N20 PDF BibTeX XML Cite \textit{Z. Baitiche} et al., J. Contemp. Math. Anal., Armen. Acad. Sci. 55, No. 2, 126--142 (2020; Zbl 07269815) Full Text: DOI
He, Guangting; Wang, Xinxin; Lv, Xueqin Reproducing kernel method for nonlinear higher-order multi-point boundary value problems. (Chinese. English summary) Zbl 07267463 Numer. Math., Nanjing 42, No. 1, 1-12 (2020). MSC: 65L10 PDF BibTeX XML Cite \textit{G. He} et al., Numer. Math., Nanjing 42, No. 1, 1--12 (2020; Zbl 07267463)
Zhao, Wei Positive solutions of multi-point boundary value problem for a class of fractional differential equations. (Chinese. English summary) Zbl 07267090 J. Sichuan Norm. Univ., Nat. Sci. 43, No. 3, 326-332 (2020). MSC: 34B18 34B10 34A08 34B27 47N20 PDF BibTeX XML Cite \textit{W. Zhao}, J. Sichuan Norm. Univ., Nat. Sci. 43, No. 3, 326--332 (2020; Zbl 07267090) Full Text: DOI
Benbaziz, Zakia; Djebali, Smaïl On a singular multi-point third-order boundary value problem on the half-line. (English) Zbl 07250712 Math. Bohem. 145, No. 3, 305-324 (2020). MSC: 34B10 34B16 34B18 34B40 PDF BibTeX XML Cite \textit{Z. Benbaziz} and \textit{S. Djebali}, Math. Bohem. 145, No. 3, 305--324 (2020; Zbl 07250712) Full Text: DOI
Zhao, Bao; Yang, Yunrui; Zhou, Yonghui Multiplicity of positive solutions to a class of multi-point boundary value problem. (English) Zbl 1449.34096 Ann. Appl. Math. 35, No. 2, 212-220 (2019). MSC: 34B18 34B10 47N20 PDF BibTeX XML Cite \textit{B. Zhao} et al., Ann. Appl. Math. 35, No. 2, 212--220 (2019; Zbl 1449.34096)
Wang, Youyu; Wang, Qichao Lyapunov-type inequalities for fractional differential equations under multi-point boundary conditions. (English) Zbl 1425.34040 J. Math. Inequal. 13, No. 3, Article No. 13-40, 611-619 (2019). MSC: 34A40 34B05 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{Q. Wang}, J. Math. Inequal. 13, No. 3, Article No. 13--40, 611--619 (2019; Zbl 1425.34040) Full Text: DOI
Alsaedi, Ahmed; Alsulami, Mona; Srivastava, Hari M.; Ahmad, Bashir; Ntouyas, Sotiris K. Existence theory for nonlinear third-order ordinary differential equations with nonlocal multi-point and multi-strip boundary conditions. (English) Zbl 1416.34007 Symmetry 11, No. 2, Paper No. 281, 18 p. (2019). MSC: 34A12 34B10 PDF BibTeX XML Cite \textit{A. Alsaedi} et al., Symmetry 11, No. 2, Paper No. 281, 18 p. (2019; Zbl 1416.34007) Full Text: DOI
El-Sayed, Ahmed M. A.; Gaafar, Fatma M. Existence and uniqueness of solution for Sturm-Liouville fractional differential equation with multi-point boundary condition via Caputo derivative. (English) Zbl 07020821 Adv. Difference Equ. 2019, Paper No. 46, 17 p. (2019). MSC: 26A33 34B24 34B10 PDF BibTeX XML Cite \textit{A. M. A. El-Sayed} and \textit{F. M. Gaafar}, Adv. Difference Equ. 2019, Paper No. 46, 17 p. (2019; Zbl 07020821) Full Text: DOI
Kheybari, S.; Darvishi, M. T. An efficient technique to find semi-analytical solutions for higher order multi-point boundary value problems. (English) Zbl 1427.34036 Appl. Math. Comput. 336, 76-93 (2018). MSC: 34B10 34A45 PDF BibTeX XML Cite \textit{S. Kheybari} and \textit{M. T. Darvishi}, Appl. Math. Comput. 336, 76--93 (2018; Zbl 1427.34036) Full Text: DOI
Wang, Hexiang Existence of solutions for a class of integral and multi-point boundary value problem with \(p\)-Laplacian operators. (Chinese. English summary) Zbl 1438.34056 Math. Pract. Theory 48, No. 23, 264-271 (2018). MSC: 34A08 34B10 47N20 34B27 PDF BibTeX XML Cite \textit{H. Wang}, Math. Pract. Theory 48, No. 23, 264--271 (2018; Zbl 1438.34056)
Zhao, Ren; Liu, Wenbin; Zhang, Wei Solvability for multi-point boundary value problem of fractional higher-order equation at resonance. (Chinese. English summary) Zbl 1424.34055 J. Hefei Univ. Technol., Nat. Sci. 41, No. 9, 1289-1296 (2018). MSC: 34A08 34B10 47N20 PDF BibTeX XML Cite \textit{R. Zhao} et al., J. Hefei Univ. Technol., Nat. Sci. 41, No. 9, 1289--1296 (2018; Zbl 1424.34055) Full Text: DOI
Volyans’ka, I. I.; Il’kiv, V. S. Multi-point problem for partial differential equation in a two-dimensional domain. (Ukrainian. English summary) Zbl 1424.35117 Bukovyn. Mat. Zh. 6, No. 3-4, 28-35 (2018). MSC: 35G15 PDF BibTeX XML Cite \textit{I. I. Volyans'ka} and \textit{V. S. Il'kiv}, Bukovyn. Mat. Zh. 6, No. 3--4, 28--35 (2018; Zbl 1424.35117) Full Text: Link
Ma, Dexiang Lyapunov inequalities for two kinds of higher-order multi-point fractional boundary value problems. (English) Zbl 1438.34047 Fract. Differ. Calc. 8, No. 1, 57-71 (2018). MSC: 34A08 33E12 34B10 34B27 34L15 PDF BibTeX XML Cite \textit{D. Ma}, Fract. Differ. Calc. 8, No. 1, 57--71 (2018; Zbl 1438.34047) Full Text: DOI
Zhou, Fengying; Xu, Xiaoyong The application of the second kind Chebyshev wavelets for solving high-oder multi-point boundary value problems. (English) Zbl 1438.65154 J. Math., Wuhan Univ. 38, No. 4, 619-632 (2018). MSC: 65L10 34B10 65L60 PDF BibTeX XML Cite \textit{F. Zhou} and \textit{X. Xu}, J. Math., Wuhan Univ. 38, No. 4, 619--632 (2018; Zbl 1438.65154) Full Text: DOI
Huang, Yanping; Wei, Yuming A class of Caputo fractional differential equation with multiple solutions for multi-point boundary value problem. (Chinese. English summary) Zbl 1424.34023 Acta Anal. Funct. Appl. 20, No. 2, 157-165 (2018). MSC: 34A08 34B10 34B18 34B27 47N20 PDF BibTeX XML Cite \textit{Y. Huang} and \textit{Y. Wei}, Acta Anal. Funct. Appl. 20, No. 2, 157--165 (2018; Zbl 1424.34023) Full Text: DOI
Nabati, Mohammad; Emamjome, Mahdi; Jalalvand, Mehdi Reproducing kernel pseudospectral method for the numerical investigation of nonlinear multi-point boundary value problems. (English) Zbl 1413.74098 Comput. Appl. Math. 37, No. 5, 6530-6543 (2018). MSC: 74S25 34B15 65L20 65L10 PDF BibTeX XML Cite \textit{M. Nabati} et al., Comput. Appl. Math. 37, No. 5, 6530--6543 (2018; Zbl 1413.74098) Full Text: DOI
Wang, Youyu; Wang, Qichao Lyapunov-type inequalities for nonlinear fractional differential equation with Hilfer fractional derivative under multi-point boundary conditions. (English) Zbl 1406.34024 Fract. Calc. Appl. Anal. 21, No. 3, 833-843 (2018). MSC: 34A08 34B05 34B10 34B27 PDF BibTeX XML Cite \textit{Y. Wang} and \textit{Q. Wang}, Fract. Calc. Appl. Anal. 21, No. 3, 833--843 (2018; Zbl 1406.34024) Full Text: DOI
Zhang, Wei; Liu, Wenbin Existence of solutions for fractional multi-point boundary value problems at resonance with three-dimensional kernels. (English) Zbl 1445.34032 Adv. Difference Equ. 2018, Paper No. 15, 19 p. (2018). MSC: 34A08 34B15 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{W. Liu}, Adv. Difference Equ. 2018, Paper No. 15, 19 p. (2018; Zbl 1445.34032) Full Text: DOI
Wang, Xinxin; Lv, Xueqin A numerical method for nonlinear third-order multi-point boundary value problems. (Chinese. English summary) Zbl 1413.65284 Math. Pract. Theory 48, No. 2, 204-211 (2018). MSC: 65L10 PDF BibTeX XML Cite \textit{X. Wang} and \textit{X. Lv}, Math. Pract. Theory 48, No. 2, 204--211 (2018; Zbl 1413.65284)
Shen, Chunfang; Yang, Liu; Xie, Dapeng Existence and multiplicity of positive solutions for third-order multi-point boundary value problem with sign changing nonlinearity. (Chinese. English summary) Zbl 1413.34109 J. Math., Wuhan Univ. 38, No. 2, 317-324 (2018). MSC: 34B18 34B10 47N20 PDF BibTeX XML Cite \textit{C. Shen} et al., J. Math., Wuhan Univ. 38, No. 2, 317--324 (2018; Zbl 1413.34109) Full Text: DOI
Lin, Xiaojie; Zhang, Qin Existence of solution for a \(p\)-Laplacian multi-point boundary value problem at resonance. (English) Zbl 1392.34014 Qual. Theory Dyn. Syst. 17, No. 1, 143-154 (2018). MSC: 34B10 34B15 47N20 PDF BibTeX XML Cite \textit{X. Lin} and \textit{Q. Zhang}, Qual. Theory Dyn. Syst. 17, No. 1, 143--154 (2018; Zbl 1392.34014) Full Text: DOI
Azarnavid, Babak; Parand, Kourosh An iterative reproducing kernel method in Hilbert space for the multi-point boundary value problems. (English) Zbl 1375.65101 J. Comput. Appl. Math. 328, 151-163 (2018). MSC: 65L10 34B10 46E22 65L20 65L70 PDF BibTeX XML Cite \textit{B. Azarnavid} and \textit{K. Parand}, J. Comput. Appl. Math. 328, 151--163 (2018; Zbl 1375.65101) Full Text: DOI
Wang, Sheng-Ping Multiple positive solutions for nonlocal boundary value problems with \(p\)-Laplacian operator. (English) Zbl 1400.34038 Differ. Equ. Appl. 9, No. 4, 533-542 (2017). MSC: 34B18 34B10 34B15 47N20 PDF BibTeX XML Cite \textit{S.-P. Wang}, Differ. Equ. Appl. 9, No. 4, 533--542 (2017; Zbl 1400.34038) Full Text: DOI
Li, Haiyan; Guo, Yuheng; Li, Limei Boundary value problems for second order multi-point difference equations with impulses. (Chinese. English summary) Zbl 1389.34093 J. North Univ. China, Nat. Sci. 38, No. 4, 425-432 (2017). MSC: 34B37 34B10 47N20 PDF BibTeX XML Cite \textit{H. Li} et al., J. North Univ. China, Nat. Sci. 38, No. 4, 425--432 (2017; Zbl 1389.34093) Full Text: DOI
Li, Haiyan; Li, Junyan; Li, Limei The existence of solutions for multi-point boundary value problem of impulsive differential equations with the first derivative. (Chinese. English summary) Zbl 1389.34094 J. Sichuan Norm. Univ., Nat. Sci. 40, No. 2, 163-171 (2017). MSC: 34B37 34B10 47N20 PDF BibTeX XML Cite \textit{H. Li} et al., J. Sichuan Norm. Univ., Nat. Sci. 40, No. 2, 163--171 (2017; Zbl 1389.34094) Full Text: DOI
Liu, Xiping; Jia, Mei; Niu, Ming; Xiang, Xiufen Multiple positive solutions for multi-point boundary value problem of fractional differential equation. (English) Zbl 1389.34024 J. Math. Res. Appl. 37, No. 2, 223-232 (2017). MSC: 34A08 34B10 34B18 34B27 PDF BibTeX XML Cite \textit{X. Liu} et al., J. Math. Res. Appl. 37, No. 2, 223--232 (2017; Zbl 1389.34024) Full Text: DOI
Shyrokovs’kykh, A. O. Non-local multi-point with respect to time problem for evolution pseudo-differential equation with variable symbols. (Ukrainian. English summary) Zbl 1374.35453 Bukovyn. Mat. Zh. 5, No. 1-2, 152-162 (2017). MSC: 35S15 47J35 PDF BibTeX XML Cite \textit{A. O. Shyrokovs'kykh}, Bukovyn. Mat. Zh. 5, No. 1--2, 152--162 (2017; Zbl 1374.35453) Full Text: Link
Bohner, Martin; Heidarkhani, Shapour; Salari, Amjad; Caristi, Giuseppe Existence of three solutions for impulsive multi-point boundary value problems. (English) Zbl 1368.34040 Opusc. Math. 37, No. 3, 353-379 (2017). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 34B37 34B10 34B15 58E50 PDF BibTeX XML Cite \textit{M. Bohner} et al., Opusc. Math. 37, No. 3, 353--379 (2017; Zbl 1368.34040) Full Text: DOI
Gnyp, E. V. Continuity with respect to parameter of solutions to non-classical multi-point boundary-value problems in Slobodetsky spaces. (Ukrainian. English summary) Zbl 1374.34052 Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 2, 101-110 (2016). MSC: 34B10 PDF BibTeX XML Cite \textit{E. V. Gnyp}, Zb. Pr. Inst. Mat. NAN Ukr. 13, No. 2, 101--110 (2016; Zbl 1374.34052)
Zhu, Wenwen Existence of multiple of solutions of first order multi-point boundary value problem. (Chinese. English summary) Zbl 1363.34058 J. Shandong Univ., Nat. Sci. 51, No. 6, 42-48 (2016). MSC: 34B10 47N20 PDF BibTeX XML Cite \textit{W. Zhu}, J. Shandong Univ., Nat. Sci. 51, No. 6, 42--48 (2016; Zbl 1363.34058) Full Text: DOI
Gorodets’kyĭ, V. V.; Kolisnyk, R. S. On a problem for evolution equations with harmonic oscillator. (Ukrainian. English summary) Zbl 1363.47129 Bukovyn. Mat. Zh. 4, No. 1-2, 31-36 (2016). MSC: 47J35 34B10 PDF BibTeX XML Cite \textit{V. V. Gorodets'kyĭ} and \textit{R. S. Kolisnyk}, Bukovyn. Mat. Zh. 4, No. 1--2, 31--36 (2016; Zbl 1363.47129)
Chen, Bin; Abuelgasimalshaby, Elzebir Existence and multiplicity results for a second-order multi-point boundary value problem at resonance. (Chinese. English summary) Zbl 1363.34055 J. Shandong Univ., Nat. Sci. 51, No. 4, 49-53, 058 (2016). MSC: 34B10 PDF BibTeX XML Cite \textit{B. Chen} and \textit{E. Abuelgasimalshaby}, J. Shandong Univ., Nat. Sci. 51, No. 4, 49--53, 058 (2016; Zbl 1363.34055) Full Text: DOI
Avazzadeh, Zakieh; Heydari, Mohammad The application of block pulse functions for solving higher-order differential equations with multi-point boundary conditions. (English) Zbl 1348.34044 Adv. Difference Equ. 2016, Paper No. 93, 16 p. (2016). MSC: 34A45 34B10 PDF BibTeX XML Cite \textit{Z. Avazzadeh} and \textit{M. Heydari}, Adv. Difference Equ. 2016, Paper No. 93, 16 p. (2016; Zbl 1348.34044) Full Text: DOI
Xie, Lie-Jun; Zhou, Cai-Lian; Xu, Song A new algorithm based on differential transform method for solving multi-point boundary value problems. (English) Zbl 1343.65096 Int. J. Comput. Math. 93, No. 6, 981-994 (2016). MSC: 65L10 34B10 34B15 PDF BibTeX XML Cite \textit{L.-J. Xie} et al., Int. J. Comput. Math. 93, No. 6, 981--994 (2016; Zbl 1343.65096) Full Text: DOI
Rynne, Bryan P. Linear and nonlinear, second-order problems with Sturm-Liouville-type, multi-point boundary conditions. (English) Zbl 1338.34055 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 136, 195-214 (2016). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34B10 34B15 34B09 34B24 34C23 34L15 PDF BibTeX XML Cite \textit{B. P. Rynne}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 136, 195--214 (2016; Zbl 1338.34055) Full Text: DOI arXiv
Feng, Hanying; Liu, Jian Multiple positive solutions for \(m\)-point boundary value problems with one-dimensional \(p\)-Laplacian systems and sign changing nonlinearity. (English) Zbl 1350.34029 J. Comput. Anal. Appl. 20, No. 6, 1066-1077 (2016). Reviewer: Ruyun Ma (Lanzhou) MSC: 34B18 34B10 34B15 47N20 PDF BibTeX XML Cite \textit{H. Feng} and \textit{J. Liu}, J. Comput. Anal. Appl. 20, No. 6, 1066--1077 (2016; Zbl 1350.34029)
Li, Bingxian; Sun, Shurong; Han, Zhenlai Successively iterative method for a class of high-order fractional differential equations with multi-point boundary value conditions on half-line. (English) Zbl 1332.34009 Bound. Value Probl. 2016, Paper No. 5, 16 p. (2016). MSC: 34A08 34B18 34B10 34A45 PDF BibTeX XML Cite \textit{B. Li} et al., Bound. Value Probl. 2016, Paper No. 5, 16 p. (2016; Zbl 1332.34009) Full Text: DOI
Assanova, Anar Turmaganbetkyzy; Imanchiev, Askarbek Ermekovich On conditions of the solvability of nonlocal multi-point boundary value problems for quasi-linear systems of hyperbolic equations. (English) Zbl 07238417 Eurasian Math. J. 6, No. 4, 19-28 (2015). MSC: 35L20 35L55 34B08 35L72 PDF BibTeX XML Cite \textit{A. T. Assanova} and \textit{A. E. Imanchiev}, Eurasian Math. J. 6, No. 4, 19--28 (2015; Zbl 07238417) Full Text: DOI MNR
Li, Xinhui; Han, Zhenlai; Zhao, Yan Existence and multiplicity of positive solutions for fractional \(q\)-difference equations with parameter. (English) Zbl 1442.34022 Int. J. Dyn. Syst. Differ. Equ. 5, No. 4, 267-287 (2015). MSC: 34A08 34B10 26A33 PDF BibTeX XML Cite \textit{X. Li} et al., Int. J. Dyn. Syst. Differ. Equ. 5, No. 4, 267--287 (2015; Zbl 1442.34022) Full Text: DOI
Du, Ruijuan Existence of solutions for second-order multi-point boundary value problems at resonance. (Chinese. English summary) Zbl 1349.34059 Math. Pract. Theory 45, No. 24, 272-278 (2015). MSC: 34B10 47N20 PDF BibTeX XML Cite \textit{R. Du}, Math. Pract. Theory 45, No. 24, 272--278 (2015; Zbl 1349.34059)
Behroozifar, Mahmoud Spectral method for solving high order nonlinear boundary value problems via operational matrices. (English) Zbl 1332.65113 BIT 55, No. 4, 901-925 (2015). MSC: 65L60 65L10 34B16 34B10 PDF BibTeX XML Cite \textit{M. Behroozifar}, BIT 55, No. 4, 901--925 (2015; Zbl 1332.65113) Full Text: DOI
Wu, Hongping; Zhou, Shaolin Three positive solutions for a second-order four-point boundary value problem with the \(p\)-Laplacian. (Chinese. English summary) Zbl 1340.34105 J. Yantai Univ., Nat. Sci. Eng. 28, No. 2, 79-83, 89 (2015). MSC: 34B18 34B10 47N20 PDF BibTeX XML Cite \textit{H. Wu} and \textit{S. Zhou}, J. Yantai Univ., Nat. Sci. Eng. 28, No. 2, 79--83, 89 (2015; Zbl 1340.34105) Full Text: DOI
Jeong, Jeongmi; Lee, Eun Kyoung Solvability for a system of multi-point boundary value problems on an infinite interval. (English) Zbl 1332.34057 East Asian Math. J. 31, No. 3, 321-335 (2015). Reviewer: Yuqiang Feng (Wuhan) MSC: 34B40 34B10 34B15 47N20 PDF BibTeX XML Cite \textit{J. Jeong} and \textit{E. K. Lee}, East Asian Math. J. 31, No. 3, 321--335 (2015; Zbl 1332.34057) Full Text: DOI
Jia, Yanli; Zhang, Xingqiu Positive solutions for a class of fractional differential equation multi-point boundary value problems with changing sign nonlinearity. (English) Zbl 1325.34009 J. Appl. Math. Comput. 47, No. 1-2, 15-31 (2015). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34A08 34B10 34B18 34B15 47N20 PDF BibTeX XML Cite \textit{Y. Jia} and \textit{X. Zhang}, J. Appl. Math. Comput. 47, No. 1--2, 15--31 (2015; Zbl 1325.34009) Full Text: DOI
Gholami, Yousef Existence of an unbounded solution for multi-point boundary value problems of fractional differential equations on an infinite domain. (English) Zbl 1412.34025 Fract. Differ. Calc. 4, No. 2, 125-136 (2014). MSC: 34A08 34B18 34B10 34B40 PDF BibTeX XML Cite \textit{Y. Gholami}, Fract. Differ. Calc. 4, No. 2, 125--136 (2014; Zbl 1412.34025) Full Text: DOI
Li, Bingxian; Sun, Shurong; Li, Yanan; Zhao, Ping Multi-point boundary value problems for a class of Riemann-Liouville fractional differential equations. (English) Zbl 1417.34015 Adv. Difference Equ. 2014, Paper No. 151, 11 p. (2014). MSC: 34A08 34K10 PDF BibTeX XML Cite \textit{B. Li} et al., Adv. Difference Equ. 2014, Paper No. 151, 11 p. (2014; Zbl 1417.34015) Full Text: DOI
Wang, Sheng-Ping Some existence results of semilinear singularly perturbed nonlocal boundary value problems. (English) Zbl 1357.34094 Taiwanese J. Math. 18, No. 4, 1071-1087 (2014). MSC: 34E20 34B15 PDF BibTeX XML Cite \textit{S.-P. Wang}, Taiwanese J. Math. 18, No. 4, 1071--1087 (2014; Zbl 1357.34094) Full Text: DOI
Reutskiy, S. Yu. A method of particular solutions for multi-point boundary value problems. (English) Zbl 1337.65112 Appl. Math. Comput. 243, 559-569 (2014). MSC: 65L99 PDF BibTeX XML Cite \textit{S. Yu. Reutskiy}, Appl. Math. Comput. 243, 559--569 (2014; Zbl 1337.65112) Full Text: DOI
Ge, Weigao; Zhang, Li; Tian, Yu Existence of solutions to some multi-point boundary value problems via variational method. (Chinese. English summary) Zbl 1340.34065 Trans. Beijing Inst. Technol. 34, No. 11, 1207-1210 (2014). MSC: 34B10 58E50 PDF BibTeX XML Cite \textit{W. Ge} et al., Trans. Beijing Inst. Technol. 34, No. 11, 1207--1210 (2014; Zbl 1340.34065)
Lin, Xiaojie; Zhao, Bensheng; Du, Zengji A third-order multi-point boundary value problem at resonance with one three dimensional kernel space. (English) Zbl 1324.34035 Carpathian J. Math. 30, No. 1, 93-100 (2014). MSC: 34B10 34B15 47N20 PDF BibTeX XML Cite \textit{X. Lin} et al., Carpathian J. Math. 30, No. 1, 93--100 (2014; Zbl 1324.34035)
Akrami, Mohammad Hussian; Erjaee, Gholam Hussian Existence of positive solutions for a class of fractional differential equation systems with multi-point boundary conditions. (English) Zbl 1308.34009 Georgian Math. J. 21, No. 4, 379-386 (2014). MSC: 34A08 47H10 34B10 34B18 PDF BibTeX XML Cite \textit{M. H. Akrami} and \textit{G. H. Erjaee}, Georgian Math. J. 21, No. 4, 379--386 (2014; Zbl 1308.34009) Full Text: DOI
Chen, Fulai; Zhou, Yong Existence theorem for a fractional multi-point boundary value problem. (English) Zbl 1312.34010 Fixed Point Theory 15, No. 1, 43-58 (2014). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 34A08 34B10 47H11 PDF BibTeX XML Cite \textit{F. Chen} and \textit{Y. Zhou}, Fixed Point Theory 15, No. 1, 43--58 (2014; Zbl 1312.34010) Full Text: Link
Wei, Zhongli Some necessary and sufficient conditions for existence of positive solutions for third order singular super-linear multi-point boundary value problems. (English) Zbl 1311.34052 J. Appl. Math. Comput. 46, No. 1-2, 407-422 (2014). Reviewer: Daniel Franco Leis (Madrid) MSC: 34B18 34B16 34B10 47N20 PDF BibTeX XML Cite \textit{Z. Wei}, J. Appl. Math. Comput. 46, No. 1--2, 407--422 (2014; Zbl 1311.34052) Full Text: DOI
Henderson, Johnny; Luca, Rodica On a second-order nonlinear discrete multi-point eigenvalue problem. (English) Zbl 1300.39001 J. Difference Equ. Appl. 20, No. 7, 1005-1018 (2014). Reviewer: Vladimir Răsvan (Craiova) MSC: 39A12 34B18 34B10 39A10 39A22 PDF BibTeX XML Cite \textit{J. Henderson} and \textit{R. Luca}, J. Difference Equ. Appl. 20, No. 7, 1005--1018 (2014; Zbl 1300.39001) Full Text: DOI
Li, Shuang; Yin, Jian; Du, Zengji Solutions to third-order multi-point boundary-value problems at resonance with three dimensional kernels. (English) Zbl 1290.34022 Electron. J. Differ. Equ. 2014, Paper No. 61, 14 p. (2014). MSC: 34B10 34B15 47N20 PDF BibTeX XML Cite \textit{S. Li} et al., Electron. J. Differ. Equ. 2014, Paper No. 61, 14 p. (2014; Zbl 1290.34022) Full Text: EMIS
Kim, Chan-Gyun; Lee, Eun Kyoung Multiple positive solutions for singular multi-point boundary-value problems with a positive parameter. (English) Zbl 1293.34035 Electron. J. Differ. Equ. 2014, Paper No. 38, 13 p. (2014). MSC: 34B18 34B10 34B16 47N20 34B08 PDF BibTeX XML Cite \textit{C.-G. Kim} and \textit{E. K. Lee}, Electron. J. Differ. Equ. 2014, Paper No. 38, 13 p. (2014; Zbl 1293.34035) Full Text: EMIS
Tian, Yu; Graef, John R.; Kong, Lingju; Wang, Min Existence of solutions to a multi-point boundary value problem for a second order differential system via the dual least action principle. (English) Zbl 1310.34029 Discrete Contin. Dyn. Syst. 2013, Suppl., 759-769 (2013). MSC: 34B10 34B15 58E30 PDF BibTeX XML Cite \textit{Y. Tian} et al., Discrete Contin. Dyn. Syst. 2013, 759--769 (2013; Zbl 1310.34029) Full Text: Link
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju Existence of nontrivial solutions to systems of multi-point boundary value problems. (English) Zbl 1307.34039 Discrete Contin. Dyn. Syst. 2013, Suppl., 273-281 (2013). MSC: 34B10 34B15 58E50 PDF BibTeX XML Cite \textit{J. R. Graef} et al., Discrete Contin. Dyn. Syst. 2013, 273--281 (2013; Zbl 1307.34039) Full Text: Link
Nyamoradi, Nemat; Bashiri, Tahereh Existence of positive solutions for fractional differential systems with multi point boundary conditions. (English) Zbl 1378.34018 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 59, No. 2, 375-392 (2013). MSC: 34A08 34B10 34B18 PDF BibTeX XML Cite \textit{N. Nyamoradi} and \textit{T. Bashiri}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 59, No. 2, 375--392 (2013; Zbl 1378.34018) Full Text: DOI
Jiang, Weihua Solvability for \(p\)-Laplacian boundary value problem at resonance on the half-line. (English) Zbl 1349.34060 Bound. Value Probl. 2013, Paper No. 207, 10 p. (2013). MSC: 34B10 PDF BibTeX XML Cite \textit{W. Jiang}, Bound. Value Probl. 2013, Paper No. 207, 10 p. (2013; Zbl 1349.34060) Full Text: DOI
Nyamoradi, N. Positive solutions for multi-point boundary value problems for nonlinear fractional differential equations. (English) Zbl 1287.34005 J. Contemp. Math. Anal., Armen. Acad. Sci. 48, No. 4, 145-157 (2013) and Izv. Nats. Akad. Nauk Armen., Mat. 48, No. 4, 63-80 (2013). MSC: 34A08 34B18 34B10 47N20 47H10 PDF BibTeX XML Cite \textit{N. Nyamoradi}, J. Contemp. Math. Anal., Armen. Acad. Sci. 48, No. 4, 145--157 (2013; Zbl 1287.34005) Full Text: DOI
Liu, Wenning; Yan, Xingjie Existence of solutions of the fractional differential equations with multi-point boundary value problems. (Chinese. English summary) Zbl 1299.34019 J. Jiangsu Norm. Univ., Nat. Sci. 31, No. 2, 21-24 (2013). MSC: 34A08 34B10 47N20 PDF BibTeX XML Cite \textit{W. Liu} and \textit{X. Yan}, J. Jiangsu Norm. Univ., Nat. Sci. 31, No. 2, 21--24 (2013; Zbl 1299.34019)
Yang, Liu Multi-point boundary value problems for nonlinear fourth-order differential equations with all order derivatives. (English) Zbl 1299.34070 Commun. Math. Res. 29, No. 2, 108-120 (2013). MSC: 34B10 34B15 34B18 34B27 47N20 PDF BibTeX XML Cite \textit{L. Yang}, Commun. Math. Res. 29, No. 2, 108--120 (2013; Zbl 1299.34070)
Graef, John R.; Heidarkhani, Shapour; Kong, Lingju Multiple solutions for systems of multi-point boundary value problems. (English) Zbl 1287.34011 Opusc. Math. 33, No. 2, 293-306 (2013). Reviewer: Mohsen Timoumi (Monastir) MSC: 34B10 34B15 58E50 PDF BibTeX XML Cite \textit{J. R. Graef} et al., Opusc. Math. 33, No. 2, 293--306 (2013; Zbl 1287.34011) Full Text: DOI
Chunfang, Shen Multiplicity of concave and monotone positive solutions for nonlinear fourth-order ordinary differential equations. (English) Zbl 1298.34051 Fixed Point Theory 14, No. 2, 345-358 (2013). Reviewer: Ruyun Ma (Lanzhou) MSC: 34B18 34B10 34B15 47H10 34B27 PDF BibTeX XML Cite \textit{S. Chunfang}, Fixed Point Theory 14, No. 2, 345--358 (2013; Zbl 1298.34051) Full Text: Link
Hao, Xiaohong; Zhou, Zongfu Existence of solutions to a multi-point boundary value problem for a fractional differential equation. (English) Zbl 1289.34012 J. Math. Res. Appl. 33, No. 2, 175-188 (2013). MSC: 34A08 34B10 34B15 47N20 PDF BibTeX XML Cite \textit{X. Hao} and \textit{Z. Zhou}, J. Math. Res. Appl. 33, No. 2, 175--188 (2013; Zbl 1289.34012) Full Text: DOI
Yao, Qingliu Positive solutions of singular third-order generalized right focal boundary value problems. (Chinese. English summary) Zbl 1289.34074 J. Syst. Sci. Math. Sci. 33, No. 4, 480-487 (2013). MSC: 34B18 34B10 34B16 47N20 PDF BibTeX XML Cite \textit{Q. Yao}, J. Syst. Sci. Math. Sci. 33, No. 4, 480--487 (2013; Zbl 1289.34074)
Chang, Sung Kag; Pei, Minghe Solvability for some higher order multi-point boundary value problems at resonance. (English) Zbl 1272.34026 Result. Math. 63, No. 3-4, 763-777 (2013). MSC: 34B10 34B15 47N20 PDF BibTeX XML Cite \textit{S. K. Chang} and \textit{M. Pei}, Result. Math. 63, No. 3--4, 763--777 (2013; Zbl 1272.34026) Full Text: DOI
Nyamoradi, Nemat; Bashiri, Tahereh Multiple positive solutions for nonlinear fractional differential systems. (English) Zbl 1412.34039 Fract. Differ. Calc. 2, No. 2, 119-128 (2012). MSC: 34A08 34B10 34B18 PDF BibTeX XML Cite \textit{N. Nyamoradi} and \textit{T. Bashiri}, Fract. Differ. Calc. 2, No. 2, 119--128 (2012; Zbl 1412.34039) Full Text: DOI
Nyamoradi, Nematolah; Javidi, Mohamad Positive solutions for fractional differential equations with \(p\)-Laplacian. (English) Zbl 1413.34039 J. Nonlinear Anal. Optim. 3, No. 2, 239-253 (2012). MSC: 34A08 34B18 34B10 47N20 PDF BibTeX XML Cite \textit{N. Nyamoradi} and \textit{M. Javidi}, J. Nonlinear Anal. Optim. 3, No. 2, 239--253 (2012; Zbl 1413.34039) Full Text: Link
Nyamoradi, Nemat Multiple positive solutions for fractional differential systems. (English) Zbl 1302.47107 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 58, No. 2, 359-369 (2012). MSC: 47N20 34A08 34B15 47H10 PDF BibTeX XML Cite \textit{N. Nyamoradi}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 58, No. 2, 359--369 (2012; Zbl 1302.47107) Full Text: DOI
Liu, Yuji Existence of solutions of multi-point BVPs for impulsive functional differential equations with nonlinear boundary conditions. (English) Zbl 1306.34097 J. Nonlinear Sci. Appl. 5, No. 2, 133-150 (2012). MSC: 34K10 34K45 47N20 PDF BibTeX XML Cite \textit{Y. Liu}, J. Nonlinear Sci. Appl. 5, No. 2, 133--150 (2012; Zbl 1306.34097) Full Text: DOI Link
Nyamoradi, Nemat; Javidi, Mohamad Existence of multiple positive solutions for fractional differential inclusions with \(m\)-point boundary conditions and two fractional orders. (English) Zbl 1328.47084 Electron. J. Differ. Equ. 2012, Paper No. 187, 26 p. (2012). Reviewer: Zhaocai Hao (Shandong) MSC: 47N20 47H10 34A08 34A60 34B10 PDF BibTeX XML Cite \textit{N. Nyamoradi} and \textit{M. Javidi}, Electron. J. Differ. Equ. 2012, Paper No. 187, 26 p. (2012; Zbl 1328.47084) Full Text: EMIS
Liu, Yuji Three positive solutions of multi-point BVPs for difference equations with the nonlinearity depending on \(\Delta\)-operator. (English) Zbl 1289.39017 An. Ştiinţ. Univ. “Ovidius” Constanţa, Ser. Mat. 20, No. 3, 65-82 (2012). MSC: 39A14 34B18 35J92 39A12 PDF BibTeX XML Cite \textit{Y. Liu}, An. Ştiinţ. Univ. ``Ovidius'' Constanţa, Ser. Mat. 20, No. 3, 65--82 (2012; Zbl 1289.39017)
Gorodets’kyj, V. V.; Martynyuk, O. V. Nonlocal with respect to time variable problems for a class of evolution equations. (Ukrainian. English summary) Zbl 1289.47162 Nauk. Visn. Chernivets’kogo Univ., Mat. 2, No. 2-3, 41-48 (2012). MSC: 47J35 34B10 PDF BibTeX XML Cite \textit{V. V. Gorodets'kyj} and \textit{O. V. Martynyuk}, Nauk. Visn. Chernivets'kogo Univ., Mat. 2, No. 2--3, 41--48 (2012; Zbl 1289.47162)
Thaiprayoon, Chatthai; Samana, Decha; Tariboon, Jessada Multi-point boundary value problem for first order impulsive integro-differential equations with multi-point jump conditions. (English) Zbl 1277.34113 Bound. Value Probl. 2012, Paper No. 38, 12 p. (2012). MSC: 34K45 34K10 45J05 34A45 47N20 PDF BibTeX XML Cite \textit{C. Thaiprayoon} et al., Bound. Value Probl. 2012, Paper No. 38, 12 p. (2012; Zbl 1277.34113) Full Text: DOI
Zhao, Junfang; Lian, Hairong; Ge, Weigao Existence of positive solutions for nonlinear \(m\)-point boundary value problems on time scales. (English) Zbl 1275.34114 Bound. Value Probl. 2012, Paper No. 4, 15 p. (2012). MSC: 34N05 34B10 34B18 47N20 PDF BibTeX XML Cite \textit{J. Zhao} et al., Bound. Value Probl. 2012, Paper No. 4, 15 p. (2012; Zbl 1275.34114) Full Text: DOI
Liu, Yang; Zongmin, Qiao A multiplicity result of positive solutions for third-order multi-point boundary value problem. (English) Zbl 1284.34034 Fixed Point Theory 13, No. 1, 121-127 (2012). Reviewer: Klaus R. Schneider (Berlin) MSC: 34B18 34B10 34B15 47N20 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{Q. Zongmin}, Fixed Point Theory 13, No. 1, 121--127 (2012; Zbl 1284.34034) Full Text: Link
Yao, Qingliu Solvability of third-order three-point boundary value problems with Carathéodory nonlinearity. (English) Zbl 1274.34042 Commun. Math. Res. 28, No. 3, 209-217 (2012). MSC: 34B10 47N20 PDF BibTeX XML Cite \textit{Q. Yao}, Commun. Math. Res. 28, No. 3, 209--217 (2012; Zbl 1274.34042)
Li, Xiuying; Wu, Boying Reproducing kernel method for singular multi-point boundary value problems. (English) Zbl 1264.65114 Math. Sci., Springer 6, Paper No. 16, 5 p. (2012). MSC: 65L10 PDF BibTeX XML Cite \textit{X. Li} and \textit{B. Wu}, Math. Sci., Springer 6, Paper No. 16, 5 p. (2012; Zbl 1264.65114) Full Text: DOI
Zhao, Yulin; Huang, Li; Wang, Xuebin; Zhu, Xianyang Existence of solutions for fractional integro-differential equation with multipoint boundary value problem in Banach spaces. (English) Zbl 1296.47110 Abstr. Appl. Anal. 2012, Article ID 172963, 19 p. (2012). MSC: 47N20 45J05 34B10 34A08 PDF BibTeX XML Cite \textit{Y. Zhao} et al., Abstr. Appl. Anal. 2012, Article ID 172963, 19 p. (2012; Zbl 1296.47110) Full Text: DOI
Ren, Li-shun; Hu, Hong-an The existence of multiple positive solutions to \(n\) order nonlinear eigenvalue problem. (Chinese. English summary) Zbl 1264.34029 J. Henan Univ., Nat. Sci. 42, No. 1, 13-16 (2012). MSC: 34B09 34B10 34B18 47N20 PDF BibTeX XML Cite \textit{L.-s. Ren} and \textit{H.-a. Hu}, J. Henan Univ., Nat. Sci. 42, No. 1, 13--16 (2012; Zbl 1264.34029)
Duan, Yu; Lian, Hairong; Yu, Xin Solvability for a second-order multi-point boundary value problem on a half-line. (English) Zbl 1265.34049 Ann. Differ. Equations 28, No. 2, 157-163 (2012). MSC: 34B10 34B27 34B40 PDF BibTeX XML Cite \textit{Y. Duan} et al., Ann. Differ. Equations 28, No. 2, 157--163 (2012; Zbl 1265.34049)
Kong, Lingju; Wong, James S. W. Optimal existence theorems for positive solutions of second order multi-point boundary value problems. (English) Zbl 1260.34046 Commun. Appl. Anal. 16, No. 1, 73-85 (2012). Reviewer: Smail Djebali (Algiers) MSC: 34B18 34B15 34B10 47N20 PDF BibTeX XML Cite \textit{L. Kong} and \textit{J. S. W. Wong}, Commun. Appl. Anal. 16, No. 1, 73--85 (2012; Zbl 1260.34046)
Doha, E. H.; Bhrawy, A. H.; Hafez, R. M. On shifted Jacobi spectral method for high-order multi-point boundary value problems. (English) Zbl 1251.65112 Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802-3810 (2012). MSC: 65L10 34B05 34B10 34B15 65L60 65L20 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3802--3810 (2012; Zbl 1251.65112) Full Text: DOI
Nyamoradi, Nemat Existence of solutions for multi point boundary value problems for fractional differential equations. (English) Zbl 1247.35190 Arab J. Math. Sci. 18, No. 2, 165-175 (2012); Corrigendum 19, No. 1, 105-107 (2013). MSC: 35R11 35A01 PDF BibTeX XML Cite \textit{N. Nyamoradi}, Arab J. Math. Sci. 18, No. 2, 165--175 (2012; Zbl 1247.35190) Full Text: DOI
Zhou, Wen-Xue; Chu, Yan-Dong Existence of solutions for fractional differential equations with multi-point boundary conditions. (English) Zbl 1245.35153 Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1142-1148 (2012). MSC: 35R35 35A01 PDF BibTeX XML Cite \textit{W.-X. Zhou} and \textit{Y.-D. Chu}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1142--1148 (2012; Zbl 1245.35153) Full Text: DOI
Genoud, François; Rynne, Bryan P. Half eigenvalues and the Fučík spectrum of multi-point boundary value problems. (English) Zbl 1247.34034 J. Differ. Equations 252, No. 9, 5076-5095 (2012). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 34B09 34B10 34L05 34L10 34L15 PDF BibTeX XML Cite \textit{F. Genoud} and \textit{B. P. Rynne}, J. Differ. Equations 252, No. 9, 5076--5095 (2012; Zbl 1247.34034) Full Text: DOI
Geng, F. Z. A numerical algorithm for nonlinear multi-point boundary value problems. (English) Zbl 1241.65067 J. Comput. Appl. Math. 236, No. 7, 1789-1794 (2012). MSC: 65L10 34B15 34B10 46E22 PDF BibTeX XML Cite \textit{F. Z. Geng}, J. Comput. Appl. Math. 236, No. 7, 1789--1794 (2012; Zbl 1241.65067) Full Text: DOI
Yang, Aijun; Wang, Helin Symmetric solutions for a fourth-order multi-point boundary value problems with one-dimensional \(p\)-Laplacian at resonance. (English) Zbl 1241.34023 J. Appl. Math. Inform. 30, No. 1-2, 161-171 (2012). MSC: 34B10 47N20 34B27 PDF BibTeX XML Cite \textit{A. Yang} and \textit{H. Wang}, J. Appl. Math. Inform. 30, No. 1--2, 161--171 (2012; Zbl 1241.34023)
Liu, Yang; Weiguo, Zhang; Chunfang, Shen Monotone and convex positive solutions for fourth-order multi-point boundary value problems. (English) Zbl 1273.34030 Bound. Value Probl. 2011, Paper No. 21, 12 p. (2011). MSC: 34B18 34B10 34B15 34B27 47N20 PDF BibTeX XML Cite \textit{Y. Liu} et al., Bound. Value Probl. 2011, Paper No. 21, 12 p. (2011; Zbl 1273.34030) Full Text: DOI
Pukalsky, I. D. Nonlocal boundary-value problem with degeneration and optimal control problem for linear parabolic equations. (Ukrainian, English) Zbl 1274.49010 Mat. Metody Fiz.-Mekh. Polya 54, No. 2, 23-35 (2011); translation in J. Math. Sci., New York 184, No. 1, 19-35 (2012). Reviewer: A. N. Chernienko (Kyïv) MSC: 49J20 49K20 PDF BibTeX XML Cite \textit{I. D. Pukalsky}, Mat. Metody Fiz.-Mekh. Polya 54, No. 2, 23--35 (2011; Zbl 1274.49010); translation in J. Math. Sci., New York 184, No. 1, 19--35 (2012)
Yang, Liu; Zhang, Weiguo; Liu, Xiping Positive solutions for second order multi-point boundary value problems at resonance. (Chinese. English summary) Zbl 1265.34096 J. Syst. Sci. Math. Sci. 31, No. 12, 1664-1672 (2011). MSC: 34B18 34B10 47N20 PDF BibTeX XML Cite \textit{L. Yang} et al., J. Syst. Sci. Math. Sci. 31, No. 12, 1664--1672 (2011; Zbl 1265.34096)
Liu, Xingyuan Solvability of non-homogeneous mixed type multi-point BVPs for second order differential equations with \(p\)-Laplacian. (English) Zbl 1265.34052 Chin. Q. J. Math. 26, No. 3, 372-377 (2011). MSC: 34B10 34B15 PDF BibTeX XML Cite \textit{X. Liu}, Chin. Q. J. Math. 26, No. 3, 372--377 (2011; Zbl 1265.34052)
Ma, Junchi; Yang, Jun The existence and uniqueness of solutions for multi-point fractional boundary value problems for nonlinear fractional integro-differential equations. (English) Zbl 1249.45013 Math. Appl. 24, No. 3, 575-580 (2011). MSC: 45J05 45G10 26A33 PDF BibTeX XML Cite \textit{J. Ma} and \textit{J. Yang}, Math. Appl. 24, No. 3, 575--580 (2011; Zbl 1249.45013)
Sun, Bo; Yang, Aijun Existence of triple positive solutions to a multi-point boundary value problem. (English) Zbl 1249.34081 Ann. Differ. Equations 27, No. 2, 201-206 (2011). MSC: 34B18 34B10 47N20 PDF BibTeX XML Cite \textit{B. Sun} and \textit{A. Yang}, Ann. Differ. Equations 27, No. 2, 201--206 (2011; Zbl 1249.34081)
Feng, Hanying; Bai, Donglong Existence of positive solutions for semipositone multi-point boundary value problems. (English) Zbl 1235.34076 Math. Comput. Modelling 54, No. 9-10, 2287-2292 (2011). MSC: 34B18 34B10 PDF BibTeX XML Cite \textit{H. Feng} and \textit{D. Bai}, Math. Comput. Modelling 54, No. 9--10, 2287--2292 (2011; Zbl 1235.34076) Full Text: DOI
Liu, Yuji Studies on nonhomogeneous multi-point BVPs of difference equations with one-dimensional \(p\)-Laplacian. (English) Zbl 1232.39008 Mediterr. J. Math. 8, No. 4, 577-602 (2011). MSC: 39A12 39A70 47B39 PDF BibTeX XML Cite \textit{Y. Liu}, Mediterr. J. Math. 8, No. 4, 577--602 (2011; Zbl 1232.39008) Full Text: DOI
Zhao, Junfang; Ge, Weigao Triple positive solutions of \(2m\)-point boundary value problem of Sturm-Liouville type with one dimensional \(p\)-Laplacian. (Chinese. English summary) Zbl 1240.34140 Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 1, 92-102 (2011). MSC: 34B18 34B10 34B24 47N20 PDF BibTeX XML Cite \textit{J. Zhao} and \textit{W. Ge}, Acta Math. Sci., Ser. A, Chin. Ed. 31, No. 1, 92--102 (2011; Zbl 1240.34140)